GARIBBEA].I EXAMI ].IATIOHS COU HGIL
Coribbeon Advonced Proficiancy Examinstion {CAPEI
@
PHYSICS
Specimen Papers and KeX
$psciFen PapFre:
Untt 1
Untt 1
-
Unit 2
Unit 2
- Mulffie Otmioe ft.estkms
- Key
Mu$W0]'$aeQrcstlons
Key
CARIBBEAN EXAMINATIONS COUNCIL
ADVANCX,O TNOTTCIENCY EXAMINATTON
SPECIMEN PAPER
MULTIPLE, CI{OICE QUESTIONS
FOn
PT{YSTCS
UNIT I
RBAD TH"r FOI-LOI4TII{G DIRECTIONS CARNFULLY
Each item in thistest has four suggested answers lettered (A), (BI (C), (D). Read eaeh itern you ere
abcutto answer and decide whichehoice is best.
Sampleltem
Which ofthe fullowing listsonly reetor quantities?
(A)
(B)
{C)
(D)
Mass,volume,mom€ntrxn,Force
Momentufl,{t}rce,displacemenqveloeity
Acceleration,disBnce,temperaturc,pressure
Kineticenergy,heaqvelocily,monlentum
SampleAnswer
0l@@
Thebestanswertothis itsm is*Moms&turnn{brce, displacement,velocigr"n soanswerspace(B}has
beenblackened.
Copyright @?006 Caribbean ExaminationsCouncil &.
Allrightsreserved.
02r380106P8c2007
2
LTST OF PHYSICAL CONSTANTS
lo'rr
Univcrsal gravitational eonst*trt
G
6.67 x
Aeceleration due to graviry
I
9.80m s'?
Radiusofthe Ear*r
&
6380krn
MassoftheEar*r
h&
5.98x l0?4 kg
Massofthelt4oon
MM
?"35
I Aenosphere
Atn
1.00x l05Nm-2
Boltanann'seonstafit
k
1.38x 10 ?3 J K-t
N m2 kg-:
x tn3'kg
ld
kgrn-r
Densiffofwxer
1"00x
Tlrcrmal con ductiviq, of eopper
400\#m'r K'r
Specifie heat capacity of aluminium
910Jkg"t 6-t
Specifi e heat capacity of copper
38?Jkg!Kr
Speeific heat capacity ofwater
4200Jkg-r g-r
Specific latent heat of fusion of iee
3.34x
Specific latent heat of vaporization of water
2.26x l06Jkg-t
105
,
Jkg-t
prmole
Avqadro's eonstant
NA
6"02x
Mblmg*sconstant
fi
8.31JK-r molr
Steftn-Boltzmarm's constant
J
5.6?x I0-8 Wnr-2 K-4
Speed of lieltt in vacuum
c
3.0 x 108 rn s-r
1023
GO ON TO THE NEXT PAGE
@138010/SPEC2m7
-3I
Which ofthe followingparrs of units are SI base units?
(A)
ampere, newton
(B)
kelvin, amp€re
watt, coulomb
eoulornb, kelvin
(c)
(D)
2.
The diagram shows two vectors P and Q
-!
p
-o
Which of the vector triangles shows the correct resultant R = P + Q
a
r,
r
A
!t
B
a
a
c
E
F
I}
GO ON TO THE NEXT PAGE
02r3801OlsPEC2007
-4Item 3 refers to the figure below showing how the displacement of
a
particle varies with time.
mpt*ua
I
tlffi
I
I
I
3.
Which ofthe followinggraphs correctly representsthe dependanceofvelocitywithtime forthis motion?
3
t&l
tu
r
{&}
?
(cl
fur
?
{D}
dilr
GO ON TO THE NEXT PAGE
021380r0/SPEC2007
-5Itern 6 re&rs to the diagrarn below which
shows a projectile fired with a horizontal
velociy, r.,, frorn the edge of a cliff The height
Item 4 refers to the diagram below.
trI
oftheeliffis
x
6 metres.
r
trI
trI
4
A stone is thrown from a building at X and
follows aparabolic pth as shov,zn above. The
maximum height reached by the stone is P.
The vertical component ofaccsleration ofthe
*
stone is
(A)
(B)
6.
maximum at P
(c)
maximum at X
the same at both X and
(D)
zero at P
Which ofthe followingpairs ofvalues ofv
and & give the maximum value of 0?
P
(A)
(B)
5
-Jmri
.t_
Wed.s
blocL
u/m s-l
Mn
50
30
l0
(c)
s
50
30
(D)
l0
50
!lN@
7
A wooden block of
mass 0.80 kg is being
pulled along a rough horizontal surface with
or force of20N as shown above. The block
experiences on acceleration of 5m s'2. What
is magnitude of the frictional force?
(A)
(B)
(c)
(D)
A monkey of mass 20kg rides on a 40 kg
trolley rnoving with a steady speed of
8 m s-t along a flat surface. The monkey
jumps vertically to grab the overhanging
branch of a tree" At what speed will the
trolleymoveofl
(A)
12 m s-t
24 N
20 N
(B)
8ms'r
N
(c)
5
(D)
oln r''
16
ms-r
4N
GO ON TO THE NEXT PAGE
02r 3801O/SPEC2007
-6-
I
Water is poured into a measuring cylinder
until it reaches the 250 crn3 mark on the scale.
If a lump of ice weighing 50 g is floated in
the water, what will the new reading be?
(A)
(B)
(C)
(D)
t0
at the ends ofstrings ofequal length. What
quantiry MUST bethe same fbrboth rocks if
the tension inthe strings are equal?
(A)
(B)
(C)
(D)
306 cm3
300 cml
295 cml
250 crns
ll
9
Two rocks are spun around in circular paths
A parachutist is falling tlrrough air ofuniform
speed
acceleration
rnass
kineticenergy
AeroplaneAis travelling at twice the speed
of Aeroplane B. Plane A is half the mass of
density from a great height. (g is the
acceleration of free fall.)
Aeroplane
Which ofthe following graphs show how his
acceleration varies with time?
(A)
The two aeroplanes have the same
(B)
kineticenogy
Aeroplane A has twice the kinetic
(AI
(c)
g
{B}
(D)
a
Which of the following
statements is correct?
n
I
B.
t2
energy of Plane B
Aeroplane A has half the kinetic
energy of Plane B
AeroplaneA has one quarter of the
kinetic energ/ of Plane B
An object is rotated in a vertisal cirele with a
constant angular ve locity.
E
V
I
(r}
a
E
Which of the following quantities remain
constantasthe objectmoves round its circular
path?
I
(I}l
I.
il.
a
I
g
II.
(A)
(B)
(c)
t
(D)
The tension in the string
The acceleration ofthe object
The kinetic energy ofthe object
I and II only
II and III only
I and lll only
I, II and III
GO ON TO THE NEXT PAGE
02r380tO/SPEC2007
-7Item
ISreferstofrediagrambelowshowing
ls
thermd energy being transformed through an
Energy
inputQ
Engine
(A)
(B)
energy
Energy
16
Output
13
Marcia needs to find the mass ofher dog but
will not say on the bathroom scale. So
first she weighs herself;, gehing 47 + I kg.
Then she stands on the balance holding her
dog and the reading becomes 54 + I kg.
From these reading the percentage error (or
uncertainty) in the mass of the dog is
he
lo/o
2%
(c)
6%
(D)
t2%
Which of the following CANNOT
be
demonstrated in sound waves?
What is the efficiency of the engine?
(A)
(A) :D
(B)
interftrence
diffraetion
(c)
polarisation
(D)
reflection
a
P
(B)
P+Q
t1.
(c)
(D)
t4
P-Q
P
Q-P
-a-
Which of the following experimental
techniques reduces the systematic error
of
the quantity being investigarcd?
(A)
Which of the fbllowing gives the corrcct
relationship behveen intensiry and amplitude
ofsound wave?
(A)
I
interrsrt/ 0
amptituae
(B)
intensityc(amplitudef
(c)
rntensity
(D)
intenrity u amplihde
I
cr
(amplitude)2
Measuringthe diameterofa steel rod
several times and finding an
(B)
(C)
(D)
average.
Timingalargenurnberofoscillatiors
ofa simple penrdulurn to fird a period
Plotting a series of voltage and
cunErft readings for an ohrnic dwice
on a graph and using its gradient to
findresistance
Adjusting a voltrneter to remove its
zero error before measuring a
potential difference.
GO ON TO THE NEXT PAGE
0213801O/SPEC2007
-8l8
The displacement-time and displacementdistance gaphs for a transverse wave are
shownbelow.
2t
A converging lens has a focal length of l2
cm, If an object is placed 20 cm from the
lens the image would be
(A)
(B)
(C)
(D)
ffiryno;ffifi# lx
*
dkdrmlflm
27.
I
cm liom the lens
fromthe lens
30 cm from the lens
20 ern from the lens
12 cm
The value of a possible wavelength for
radiation in the visible region in the
electromagnetic spectrum is
m
(A)
(B)
(C)
(D)
What is the wave speed?
(A)
(B)
(C)
(D)
19.
x lO-Em
x l0'7m
5x 10-6m
5 x l0'5m
5
5
0.25 m s-l
0.5 m
1.0 m
Items 23 refers to the following diagram.
s-r
s-r
x
2.0 m s'l
Y
For light passing from air to Material X, the
refractive index is L3 and for light passing
from air to Material Y the refraction index is
.5. Which offlre following shows the speed
oflight in air, X and Y in descending order of
P
1
magnitude? (fastest to slowest)
(A)
(B)
(C)
(D)
air,X,Y
air,XX
Y, air,
X
23.
Two wave sources X and Y are positioned as
shown 50 mm and l2O mrn from a point P.
The two sources produce waves which are
in phase and which both have wavelength of
20 mm. The phase difference between the
waves arriving at P is
X,Y, air
(A)
(B)
20.
Light from a source is incident normally on a
difliaction grating which has2000lines per
mm. What is the wavelength of the light if
the first order maximum makes an angle
30 with the zero order?
(A)
(B)
250nm
433 nm
(c)
(c)
125 nm
(c)
(D)
180'
360
45.
90,
of
866nm
GO ON TO THE NEXT PAGE
02138010/SPEC2007
924.
IFm 27 refers to the following diagmm
The magnitude ofthe ftreshold ofhearing at
I kHzis
(A)
l0-s
Wm-3
(B)
10-r0
Wm'2
(c)
IO.II
(D)
I0'12
Wm-2
Wm-2
Hlcrrett
27.
25.
Y
Mr
A microwave trarrsmitter X sends radio waves
Which ofilre following isNOT acondition
necessary for the formation of stationary
waves from two progressivewaves?
to a metal sheet Y. A probe, R between X
andY is moved from one node through 20
antinodqs to a node 0"3 m away. What is the
fiequency ofthe microwaves ernitted from
(A)
be
x?
Progressive waves mtst be travelling
site directions
(A)
(B)
(B)
(C)
(D)
Progressive waves must
superimposed
ino
3
x
l0-2 Hz
Progressive waves must be of the
(c)
3 x 10't Hz
2 x l0ro Hz
same amplitude and frequency
The distance between the sources of
ptogressive waves must be a whole
(D)
I x l0roHz
28.
numberofwavelenglhs
Which ofthe following quantites does NOT
remain constant when a particle moves in
sirnple harmonic motion ?
26.
A glass tube of effective length 0.60 m is
closed at one end. Given that the speed of
sound in air is 300 m s-rthe two LOWEST
resonant frequencies are
(A)
(B)
(C)
(D)
(A)
(B)
Force
Total energy
(c)
Ampliturcte
(D)
Angular fiequency
l25Hz,250Hz
l25Hz,375Hz
250H2,375tlz
500Hz,7SAHz
a
GO ON TO THE NEXT PAGE
0213801O/SPEC2007
Item 29 refers tothe following diagram
l032
(A)
(B)
;%-
(c)
....{.3!
%t
(D)
,ry
29
Two bodies when in thermal equilibrium
have the same
33
A mass, rn, is attached to a vertical helical
spring and displaced a distance "A" fiom
equilibrium as shown in the diagram. The
mass is released so that it oscillates with
simple harmonic motion with angular
will
pQtential energy
pressure
kinetic energy
temperature
The temperature of 50 g of liquid was raised
by 60 K when it was used to cool a steel ball
of mass 100 g from 150" C to 70"C. [f the
specific heat capacity of steel is 450 J&g K
what is the specific heat capacity of the
Iiquid?
frequency ro.
(A)
(B)
Which ofthe following expressions gives the
variation ofveloeiry, u, with time, P
1200J/kgK
K
120 Jfl<.g K
300 J/kg K
675 J/kg
{c)
(D)
(A)
(B)
r,:Asin(ot
v=Acoso)t
(c)
v: A to sin rrrt
y: -A af sin ort
(D)
Item 34_refurs to the following diagram
Item 30 refers to the following diagram
,{*
r+b
4rn
*l
vv
t
a
30
A
mass m, undergoes horizontal simple
harmonic motion under the action of two
springs as shown. Its equation of motion is
a: -& x and its amplitude is A.
m
What is its
(A)
(B)
(c)
(D)
3t
.:.
MAXIMUM kinetic enerry?
YzkA2/m
2 mrAr/K
2 k2A:/m
kAr
The fixed point on the thermodynamic
temperature scale is identified by the
;
l$m
2tO mm
34
A brick wall l0 m long by 4 m high is
insulated with a material of thermal
conductivif 0.70 Wm-r K-t. Ifthe insulating
material is 210 mm thick, the interface
between the wall and material is at 95 "C and
the rate of heat flow into the interface is 4
kW what is the temprature ofthe other encl
ofthe insulation.
(A)
(B)
98 "C
(c)
94.7 "C
125 "C
(D)
65',C
GO ON TO THE NEXT PACE
0213801O/SPEC2007
35
S/hat is the SI base unit for specific heat
ll
39
capaciry?
(A)
{B)
(C)
(D)
36.
r
3
kg:61 6-t
m2 s"r K
m kg't
2
6t
m? s'3 K-r
I
What is tlrc average kinetic energr of helium
atornB
(A)
(B)
(c)
(D)
v
at27'C?
x 10-r' J
x l0'?2 J
6.2 x lOirJ
5.6 x l0-2' J
The above P-V diagram represents a gas
being taken through three processes, I to 2,2
to 3 and 3 to I to complete the cycle. In
which process(es) is work being done ON
2.8
2.5
the gas?
37.
(A)
A gas consists of a large number of
(B)
The gas molecules are in constant,
(C)
The gas molecules collide
(D)
3t
(A)
Which ofttrc following is NOT an assumption
of the kinetic theory of gases?
(B)
Ito2and2to3
2to3and3tol
(c)
3
(D)
2 to 3 only
to I only
molocules
randsnmotion
inelastically with each other
The duration of a collision is
40
P/h
negligible when compared to the
Srl0t
time interval between coll isions
5r tO,
lx l0t
A monatomic gas at l8 'C and I .2 x l0s Pa
is contained in a container of capacity one
lx
lOt
ta68
cubic metre. What is the approximate number
lo
Y/ m,
of atoms present?
(A)
(B)
(C)
(D)
4
An ideal gas initially at 2 m3 and a pressure of
2.0 x lCI is taken through a cycle as shown in
3
the diagram above.
x 1026
x l02s
6 x 1023
I x l02a
The work done ON the gas in the complete
cycle is
(A)
+6.4 MJ
(B)
+4.8 MJ
-4.8 MJ
-6.4 MJ
(c)
(D)
GO ON TO THE NEXT PACE
0213801CySPEC2007
-l24r
tems 44 refers to the diagram below
showing two springs connected in series.
C)ne end is fixed to a wall and a force of
0.8 N is applied to the other end. The two
springs have spring constants of 2 N m-r and
5 N m-r respectively.
Acube of side x em in a fluid of density p,
at a depth h belowthe surface of the fluid.
x
11'rll
tNm-l
springs?
What is the pressure experienced by the
bottom surface ofthe cube?
A)
hpg
(B)
xpg
(c)
(x-h)pe
(x+h)pg
(D)
ofrN
n-l
What is the TOTAL extension of the two
44
(A)
S lrl
B)
C)
(D)
0.28 m
0.25 m
0.35 m
0.56 m
Item 45 refers to the diagram below.
A steel wire of lorgh 3 m and urriforn crosssection area 0. I mnf is used in an experiment
to determine the young modulues of steel.
42.
F/II
The gradient ofthe force-extension graph
obtained is 6.7 x I 03 Nm-r.
What
(A)
(B)
(C)
(D)
x
Y
is Young modulus of steel?
x l0r' Pa
2.0 x l0t Pa
4.5 x l0rrPa
2.2 x l0'o Pa
2.0
2
r/mu
43.
Which ofthe followingequations is correct?
(A)
Stress: lgngth
extension
(B)
Strain
:
(c)
Strain
: force
Stress
The diagram above shows the force-extension
graph forthree different materials. Which of
the following options correctly labels the
graphs?
x
extension
length
area
(D)
h5,
=
area
Y
Z
(A)
brittle
polymeric
ductile
(B)
ductile
polymeric
brittle
(c)
brittle
ductile
polymeric
(D)
ductile
brinle
polymeric
force
IF VOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
021380I0/SPEC2007
Ceribbesn Examinations Gouncil
Mrster Data Sheet
Subject: CAPE
Question
I
.l
2t}1
Year:.,,$pgg!g 2007
PhYsics Unih-[-
Module/Syllabus
Refereuoc
2.t
Profile Key Question
Reference
KC
KC
B
3l
C
32
33
34
35
36
37
3E
39
L
1.3
3
4
5
6
1
3.2
3.4
3.14
3.5
UK
D
KC
UK
C
C
KC
D
r0
UK
UK
KC
UK
A
3.
t
4.1
9
4.3
10
3.19
5.2
3.16
5.7
6.3
6.5
11
t2
l3
l4
l5
l6
l.l
t7
1.5
1E
t.4
19
3.3
3.8
20
2t
3.t
22
23
24
25
26
27
28
29
30
3.2
4.2
4.9
l
4.t2
5.1
4.12
5.4
5.2
5.8
lltodulelSyllabus Prolile Key
T,IK
KC
KC
KC
UK
B
B
D
B
B
42
43
D
D
45
A
A
UK
C
KC
B
UK
A
KC
KC
D
D
B
D
KC
KC
UK
4t
A
KC
KC
UK
KC
UK
lJK
UK
q
C
B
B
A
C
D
u
1.5
t.l
2.u
3.2
3,.3
4.5
4.2
4.t
5.4
5.3
6.2
6.8
6.1
6.6
6.10
KC
KC
UK
UK
KC
UK
KC
UK
KC
UK
KC
UK
KC
UK
KC
C
D
A
D
D
C
c
B
A
c
D
A
B
D
C
+ AFFIX SEAL HERE +
•
CANDIDA TE'-PLEASENOTE!::C</ ·•· •
~ ~~-~L ~
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TESTCODE02138010
FORM TP2007252
CARIBBEAN
MA Y/JUNE2007
EXAMINATIONS
COUNCIL
ADVAN CED PROFICIENCY EXAMINATION
PHYSICS
Unit 1 - Paper 01
90minutes
( 25 MAY 2007 (a.m.))
READ THE FOLLOWING DIRECTIONS CAREFULLY
I.
In addition to this test booklet, you should have an answer sheet.
2.
Each item in this test has four suggested answers lettered (A),(B),(C), (D). Read each item you are
about to answer and decide which choice is best.
3.
On your answer sheet, find the number which corresponds to your item and shade the space having
the same letter as the answer you have chosen. Look at the sample item below.
I
Sample Item
-
Which ofthe following lists one scalar quality
and one vector quantity?
(A)
(B)
(C)
(D)
mass: temperature
momentum : pressure
force : velocity
potential energy : volt
Sample Answer
@•©@
The bestanswertothis item is "momentum: pressure", so answer space(B) has been blackened.
4.
Ifyou wantto change your answer, be sure to erase yourold answer completely and fi II in yournew
choice.
5.
Whenyouaretoldtobegin,tumthepageandworkasquicklyandascarefullyasyoucan. Ifyoucannot
answer an item,omititandgoontothenextone. Youcancomebacktotheharderitem later. Your
-~·
score will be the total numberofcorrectanswers.
6.
You may do any rough work in this booklet.
7.
Figures are notnecessarilydrawntoscale.
8.
The use ofnon-programmable calculators is allowed.
9.
Thistestconsistsof45 items. You will have90minutes to answer them.
IO.
Do not be concerned that the answer sheet provides spaces for more answers than there are items in
-
this test.
DO NOT WQ- THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
rnrwrit•ht """00~ r~rihh<-nn Fvnminntin11• rn1 mrilrlll
J
'
;
-2-
LIST OF PHYSICAL CONSTANTS
2
G
=
6.67 x 10- 11 N m kg· 2
g
=
9.81 m s· 2
Radius of the Earth
RE
=
6380km
Mass of the Earth
ME
=
5.98 x 10
MM
=
7.35 x 1022 kg
Atm
=
1.00 x 105 N m· 2
k
=
1.38 x lff
1.00 x 103 kg m· 3
Density of water
=
Specific heat capacity of water
=
4200 J kg• 1 K- 1
Specific latent heat of fusion of ice
=
3.34 x 105 J kg· 1
Specific latent heat of vaporization of water
=
2.26 x 106 J kg• 1
NA
=
6.02 x 1023 per mole
R
=
8.31 J IC 1 moJ·I
CJ
=
5.67
c
=
3.0 x 108 m s· 1
Universal gravitational constant
Acceleration due to gravity
Mass of the Moon
1 Atmosphere
Boltzmann's cpnstant
Avogadro's number
Molar gas constant
Stefan-Boltzmann constant
Speed of light in vacuum
..
24
X
kg
23
J K- 1
10-S W m· 2 K- 4
-·
GO ON TO THE NEXT PAGE
02138010/C 2007
'
...
-31.
Item 2 refers to the following diagram.
Which S.l. unit could be used to express the
power of a light bulb?
(A)
(B)
(C)
(D)
kg m's·'
kg m·• s"
kg m 2 s·'
kg s"
7N
24N
2.
Coplanar forces with magnitudes 7 N, 24 N
and X are in equilibrium. What is the value
ofX?
(A)
(8)
(C)
(D)
17 N
24 N
25 N
31 N
Which of the following graphs applies to a
body in motion but with zero acceleration?
3.
x/m
xlm
(B)
(A)
x/m
tis
(C)
(D)
tis
l
r
.'
-44.
A body of constant mass will have uniform
acceleration ifthe resultant force acting on it
(A)
(B)
(C)
(D)
8.
decreases uniformly with time
increases uniformly with time
is constant
is proportional to the displacement
from a fixed point
A body of2.5 kg initially at rest is acted on by
a net force directed along thex- axis which
varies as shown in the graph below.
Force IN
20
10
5.
A body moves in a circle of radius r with
centripetal acceleration, a. Its velocity is v,
and angular frequency is OJ. Which of the
following equations for a are correct?
I.
I I.
a= r'm
(A)
(B)
Ill.
.a=vm
(C)
(D)
I, II and Ill
I and II only
I and III only
II and III only
A constant force acts on a mass m, which is
initially at rest. The velocity acquired for a
given displacement is proportional to
2
3
4
5Time/s
The magnitude of the momentum obtained
would be
v2
a=r
(A)
(B)
(C)
(D)
6.
1
9.
0 Ns
50 Ns
70Ns
140 Ns
Which velocity - time graph BEST represents
the motion of a falling spherical body from
rest through glycerine?
(A)
(A)
(B)
m
v
I
(C)
(D)
7.
rm
t
m
A racing car is moving round a circular track
at a constant speed of60 m s· 1• The radius
of the track is 500 m. What is the ratio of the
centripetal force to the weight of the car?
(A)
(B)
(C)
(D)
{B)
0.02
0.73
1.2
71.0
(C)
t
{D)
t
-512.
10.
x
F
A
A stone is thrown from A to D. The stone
follows a parabolic path such that the highest
point reached is B. C is a point just before it
landsatD.
d
The vertical component ofacceleration of the
stone is
(A)
(B)
(C)
(D)
Two parallel forces act on a rigid body as
shown in the diagram above. The size ofthe
torque on the body by these forces is
(A)
(B)
. (C)
(D)
11.
Fd
Fx
2Fd
2Fx
A parachutist of mass 80 kg descends
vertically at a const.ant velocity of
3 .0 m s· 1• What is the resu]tant downward
force acting on her?
(A)
SOON
(B)
560N
240N
(C)
(D)
0N
13 .
the least at B
the same at C and B
maximumatA
greatest at D
A slingshot is a child's toy that converts the
strain energy of the stretched material into
the moving energy of the propelled object. A
boy pulls on his slingshot with a force of20 N
and it extends by 7 cm. At what velocity
does the 20 g stone fly off?
(A)
(B)
(C)
8.4 m s· 1
70 ms ·I
16.7 m s· 1
.(D)
2.6 m s· 1
-6-
14.
The true value of a quantity is x 0 • This
quantity is measured a large numberoftimes
and the number n, of particular values ofx, is
plotted against x.
15.
Two spheres, one of mass m and the other of
.
m
'th
mass- are moving towards each other wt
2
velocity, v
v
Which graph below represents measurements
of poor accuracy but high precision?
CV
(A)
The spheres have an elastic collision. Which
one of the following statements is correct?
n
(A)
The total kinetic energy after impact
(B)
is Y2mv'.
The spheres stick togetheron impact
x
(B)
(C)
The total kinetic energy after impact
is zero.
(D)
The magnitude ofthe total momentum
n
before impact is
1;2 mv.
Item 16 refers to the following graph showing
two oscillations.
x
Displacement
(C)
n
Time
x
(D)
n
16.
What is the phase difference between the
oscillations?
(A)
'{~
rad~!
r d
7t
7t/4
(C)
3.1..n
(D)
1112
rd
rad
x
'
I\
(1() ()NT() THF 1'll"VT r> A r.r.
-7-
Item 17 refers to the vibrator below which
produces stationary waves on a stretched
cable.
20.
A. Young's double-slit experiment is
·performed with white light incident on the
slits. The first bright fringe after the central
maximum is a
(A)
(B)
(C)
Vibrator
17.
(D)
The frequency ofthe vibrator is 50 Hz. What
is the speed of the wave?
(A)
(B)
(C)
(D)
21.
250ms·•
500ms·•
750ms·•
330m s·•
Which of the following can correct
the condition known as long sight?
(A)
(B)
(C)
(D)
18.
Which ofthe following observations indicates
that sound waves are longitudinal?
(A)
(B)
(C)
(D)
19.
Sound waves are diffracted around
comers.
Sound waves cannot be polarised.
Sound waves obey the laws of
reflection.
Sound waves are refracted as they
pass from cool air to warm air.
22.
green fringe
orange fringe
white fringe
blue fringe
Plano-concave lens
Cylindrical lens
Diverging meniscus lens
Converging meniscus lens
Two sources of sound, X and Y, that are
in phase are positioned as shown in the
diagram. They both produce waves with
wavelength 2 m and amplitude A. What
would be the amplitude of the sound
observed at point P?
x
For a particle oscillating with simple
hannonic motion in a vertical plane, which of
the following statements is NOT true?
(A)
(B)
(C)
(D)
The velocity of the particle is
miminum at the centre of motion
ofthe particle.
The total energy is constant.
The acceleration of the particle is
directed towards a fixed point.
The restoring force is maximum at
the extremities of the motion.
p
Y>A
(A)
(B)
2A
(~.l._
0
(0)
A
-8-
23.
A sound wave of intensity 11, has an
amplitude o(30 mm. Another wave of the
same frequency but of intensity 12 has an
amplitude of I 0 mm. What is the value of
25.
(A)
1,
1, .
-?
(A)
(B)
(C)
(D)
24.
Which of the following is NOT a condition
necessary for two-source destructive
interference of sound waves tv be observed?
(B)
(C)
3
9
27
81
(D)
An air column in a tube which is closed at
one end vibrates in its fundamental mode.
The amplitude ofthe vibrations ofthe air can
be represented in magnitude and direction at
various points by arrows with a dot indicating
a very sinall amplitude. Which diagram
BEST represents the oscillation of the air
molecules?
26.
An object is placed 5 cm in front ofa diverging
lens of focal length 20 cm. The image is
(A)
(B)
(C)
(D)
27.
(B)
E
)
•
(
)
(D)
!___·-
L....!....I
I._·_________
•
4 cm from the lens on the same side
as the object
6. 7 cm from the lens on the same
side as the object
4 cm from the lens on the opposite
side of the object
6.7 cm from the lens on the opposite
side of the object
A motorbike emits an 80 dB noise. The
intensity ofthe sound from the motorbike is
(/\)
(B)
(C)
(D)
(C)
Sources must be coherent.
Amplitudes of the waves must be
similar.
Waves overlapping must have a path
difference of one wavelength.
Waves overlapping must be out of
phase by 7t radians.
10- 12 Wm"
10-• Wm-2
JO-< Wm-2
10 Wm·'
-928.
A particle oscillates so that its displacement
x from a fixed point is related to time t by the
equation
x = 3 sin 5 7t t.
Ifxis measured in cm and tis measured in s,
we can deduce that the particle
I.
11.
III.
(A)
(B)
(C)
(D)
29.
30.
moves with Simple Harmonic Motion
has a frequency of2.5 Hz
has an amplitude of I .5 cm
I and II only
I, II and III
II and III only
III only
A pendulum swings freely with a period of
!.Os on the· earth's surface where
acceleration due to gravity is g. If the
pendulum were to swing in another place
where acceleration due to gravity is g, what
would be the value ofits new period?
(A)
~g/ g'
(B)
~g'lg
(C)
gig
(D)
g'/g
31.
XT is a temperature measuring quantity of
a substance. X and X, 00 we~e determined
at the ice point and steam point. The
temperature on the centigrade scale which
corresponds to a value X, is given by
0
ex=
XT-Xo
x 100
X100 -XO
Which of the following graphs BEST
describes the relationship between 0xand
X,?
ex
(A)
II.
lll.
(A)
(B)
(C)
(D)
It occurs at the highest frequency of
the oscillating system.
It causes a significant increase in the
. amplitude ofoscillation.
It occurs when the driver frequency.
is close to the natural frequency of
the oscillating system.
I and II only
I, II and Ill
I and Ill only
II and III only
XT
0
XT
ex
(B)
ex
~
(C)
Which of the following statements are
TRUE about resonance?
I.
0
~~-
0
XT
0
XT
ex
(D)
I
- 10 -
32.
A spherical blackbody of surface area A is at
an absolute temperature T 1• It is suspended
at the centre of a container whose walls are
at temperature T 2 •
The NET rate of loss of heat by radiation
from the body is given by
(A)
(B)
(C)
(D)
P=cr AT I4
P =cr AT'
2
P = cr A (T, -T,)4
P=cr A(Ti'-T24)
37.
33.
What is the unit of heat capacity?
(A) •
(B)
(C)
.
(D)
34.
(D)
35.
CRYSTALLINE
SOLID
AMORPHOUS
SOLID
(A)
glass
rubber
(B)
copper
diamond
(C)
diamond
glass
(D) '
rubber
copper
A double layer glass wall has a layer of air
trapped between it as shown in the diagram
below.
Jkg· 1 K· 1
J kg·'
J K·'
J
16 x lO"'m' of a gas at a pressure of 1750
kPa is contained in a cylinder. The gas is
expanded at constant pressure until the
volume becomes 140 x 1O"'m'. How much
work is done by the gas?
(A)
(B)
(C)
Which of the following options has the
materials CORRECTLY categorized?
36.
217kJ
245kJ
273kJ
347kJ
Which method of heat transfer is
SIGNIFICANTLY reduced by the air layer?
(A)
(B)
(C)
(D)
Conduction
Convection
Evaporation
Radiation
An adult at rest has a blood pressure of
~s;, This is measured in mm of mercury.
What would this reading be in Pa? (Density
of mercury= l3600kgm"'.)
(A)
(B)
(C)
(D)
(1.73/l.13)x 106
(1.73/ 1.13)x 10'
(1.73/ l.\3)x 104
(1.73/l.13)x 105
GO ON TO THF NFXT PA GF
- 11 38.
Which ofthe following is NOT an assumption
used in the Kinetic Theory of gases?
(A)
(B)
(C)
(D)
"
-
39.
The volume of the molecules is
negligible. ·
The attraction between the
molecules is negligible.
The molecules accelerate between
collisions.
The duration of collision between
molecules is negligible.
40.
The average kinetic energy per molecule of a
·sample of argon gas is 8 x IO"'' J. What is the
temperature of the gas?
113
386
597
870
(A)
(B)
(C)
(D)
41.
K
K
K
K
p
I
0
In which of the following graphs does the
shaded area show the energy lost during the
loading and unloading process ofa polymeric
material?
(A)
FIN
p
(B)
II
p
III
p
e/mm
v
FIN
0
e/mm
(C)
FIN
IV
R
(D)
v
v
p
e/mm
FIN
n\C'l!bove P-V diagrams represent ideal gas
cycles. Which pair of diagrams corresponds
to NET work being done by the gas?
S
e/mm
(A)
(B)
(C)
(D)
I and II only
I and IV only
II and III only
II and IV only
)
r
•
- 12 -
42.
Calculate the volume occupied by one atom
ofcopper ifithasamolarmassof0.0635 kg
and a density of8920 kg m·'.
(A)
(B)
(C)
(D)
44.
l.18x l0-29 m'
7.12 x 10.. m'
2.3 3 x 10· 1• m'
9.4lx!O-"m 3
An alloy is made ofa mixture of two metals.
Metal A has a density of 8900 kg m·' and
Metal B has a density of7800 kg m'. What
is the density of the alloy ifM~talAhas three r---._
times the volume of Metal B?
(A)
(B)
(C)
(D)
8350 kg m'
8625 kg m·'
8075 kg m·'
7950 kg m·'
43.
45 .
._~--_,-·--::Open to~--_,.
atmosphere
Water
Kerosene
A spring with spring constant k, has an
extension x, when a mass m, is attached to it.
Another spring identical to the first is hung
parallel to the first and the same mass m is
hung across both. Which option gives the
correct values of extension and spring
constant ofthe combination?
The diagram above shows a U-tube
containing two immiscible liquids. Which
statement about the arrangement is TRUE?
(A)
(B)
(C)
(D)
The kerosene exerts a greater
pressure at X than the pressure
exerted by the water at Y.
The water exerts a greater pressure
at Y than the pressure exerted by
the water at X.
The pressure at X and Y is equal to
atmospheric pressure.
The pressure at X is equal to the
pressure at Y.
Extension
Spring constant
(A)
x/2
k/2
(B)
x/2
2k
(C)
2x
k/2
(D)
2x
2k
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
-
021380 I O/C2007
.
An objecl oi'mass, m, is nlovitlg !vith iiineiic
:
ln the relationshiP C i'Q- C lS a Ct)nstant.
Which graPh rePresents the relationship
tletween Q and P?
energy E. Which olthe tbilowing has thc
same base units as its momenturn?
(A)
(A)
j*e
(B)
mE
(c)
n€'Z
'E_
(D)
m
@)
5"
Taking upwards as positive, which of the
following graphs BES"I' describes a bail thar
was thrown upwards and then came back
down to th.esame hcight?
(c)
(A)
(D)
(B)
,
v
h
Two velocity vectors ofmagnituds 20 krn '
and 40 lan h-r are to be $ubtracted- Which of
the frrllowing isNOT apossible value forthe
answer?
tal
i0 knrh{
(B)
20 krnh-'
(c)
30kmh-'
(D)
40kmhr
(c)
'fhe base SI units ofspecific heat capacity
arg
(D)
(A)
m2s-r K-l
(B)
kg rn2stK'
(c)
mz$
(D)
kgm?K-r
K'
COONTOTHENEXT
P^CE
77
.,1
A hammer thrower rnirkes -l complete
A tennis ball i:; given a horizontai vek:ciry ol
8 rn s'when it is hit at a heiglrr ol 1.8 m
er.olutions in 3.2 s . The distance bretween
the hammer and the tlirorter is I .5 m. !!'hat
above lhe ground. It is in the air for
(A)
(B)
017
061
{D)
2.e5 s
8-89 s
(c)
is the centripetal acceleration of tbe
s
hammer'?
s
(A) 0.17i m s:
G) 29 ms)
(C) 5.8 .m s''
(D) 92.5 rn s-:
Item.7 refcrs to the foilowing diagram.
"\M) a\
/\/
:
tl
->
-/
7.
l2N1
befbre
\
10.
I
collides rvith
,
represenft; the gravitational
I
a
(^))
velociry
stationary object of mass
the two masse$ stick
logerher and move with a common velocity
v. The rnagnitude cfv is equal to
a
2M. After collision
{A)
(B)
(C)
(D)
8.
equations
fiel<i slrength
lJ
distance h from lhe surtbce of
the Earth where r is ilre radius of the Earth?
ofa point
_./
An object of maqq M travelling with
u
Whirh oi thc follorving
{B)
(c)
3u
"un
tl3
{D)
a
r7
c
o ---*-(r+h)r "
tt
.'=(r+h)2.,
b
b
''--'
f
?2
*,4 : cM
J
\o
----";-'
*
t/
Q
lL
v
Arlt
ti
't
,\f
t,Lr
-I f -llivt.
ti lt' ., \'-1
'!
tl
,r
-o':-o(r+h) -
\#a
J
|
i,
-,
f
*'a'
4-
-
= Cly\
,tl i
L1-''
"
'f *t''
/:^-)
,
t'l
An objectmoving atconstant speed in a circle
of radius r turns througir
arr angle 0
(A)
v=Zrf'/t
A hot-air balloon moving upwards has a total
weight of 200 N and a volume of 20 rnr.
Assuming the density of the air outside ihe
balloon is I .2 kg m-r, the NET upward force
on the balloru is then approximafsly
(B)
v:
iA)
(mea"sured in radians) in a time
v along the tangent is given by
t,
-lhe
velocity
1i
(c) v:d-
{c)
24N
40N
l76N
t
(D)
?40N
r0
2ni
(D)
(B)
v:-€"
rt
GOONTOTHENEXTPAGE
()7
LAef l,? ret'ers
ti'
the Clagf,xr frclaw
l.f
r\
t1('{
I
__.
.J
a b !lU
lt\-
Pl,.,llr'('
(}:-. !r,lr!t4'L
rL,rL(
fi,xrl rcsr liir ;r flxeC clistance. 'fhe ki:rerit
-
cnc,ri:y rcquired b-r'the bc* of mass. m is
II\\
(
ri
u
lL_
\\
\\
_ t\
ir-ourid
\
\
A marble rolls off thc horizontal surface cfa
table and {alls to tiie ground. \\4eich graph
sixrws how the resu,ltant verLical fcrce acting
$n the marble vsries with tirne befure ii hits
14
(A)
(ts)
proporriilul to aG
pri4:orlional to m
fcl
Dron()ftit n3l to
P)
indePr'trdentofm
.1
-rn
Which of the folkrwing graphs represertts th
velociry-tirnc graph ofa bra.ss ball-bcariul
when released rn a coirirnn of glycerinc?
&egormd?
(A)
v4\
I
I
+*-----+r
(ts)
(Dl
(c)
,1
I
ji
i----tr
lr--.-
---- i-
l
(i()
ON
TOTHENI.;XT PAG1
is provided ivith 15 kW of
A car traVelliirgi *, o
"o.,r*l*clocit-v
useful power. The driving force on the car is 600 N. What is the
li
velocity ofthe car?
"iit
n *^'l
16.
(B)
5 Tns'
(c)
l0 mst
(D)
25 m
s-i
in a simple har-monic rnotion with amplitudeA and period
I
the
rnaxinrum veloclty is
(A)
l7
.
Av'I'
(B)
NZn'T
(ci
2n/N
(D)
2nA/-f
A particle moves wittr simple harmonic motion in a straight line,
Which ofthe following graphs BEST represents the way in which
the force F acting on the particie depends on the displacementx?
tA)
(B)
(c)
{o)
cooN
T'o't'HH NEX1
{iem ?2 rei'ers to lhe ioliorving diagram
A mass ol?50 g hanging at the errd of a s1;ring
of spring consfart. k' markes ? i oscillzrtions in
perioci ilthe
1 1 seconds" Whai rvouid be the
gral'ity
planet
rvhere
a
to
ttken
1\.eic
system
was % of thal on Earth?
a
j
-s
t
r 1?l)
:i:jls
1B)
4 \11./
II
(c)
42"
/l
What is the phase dill'erencc betlvee$
Waves 1 anelZ?
,:,) 4[*J'
Acldld's swing ofmass l0 kg is oscillating
with simple harmonic motion whcre the
1(l
.\I
'l
I
(A)
maxirnum height reached is 0 5 m above the
cquilibrium position. 'l'he following tablc
shows pairs of eaergy values during thc
oscillation \i/hichpaL isNGI possible?
rAr
v'/
Ja.",tio*
(B)
;*dtr*
/ct
(D)
{*ai-*
tem
2
a radians
23 refers to the followrng diagrarn"
F.ri-]
KEIJ
FEIJ
(A)
r:-
@)
18
J1
tc)
JA
L-)
iD)
49
0
49
F
ll).
Ellstic rvaves in a solid are
(A)
(B)
{C)
ini
tl .
transverse
iorgitudinal
Give the wavelengrh of the stationary wavo
in tergrs of L if lhe rlislance befwecn points
E&Fi.s4L-
eith€rl-rarsve$eorlongitudinai
neitbcr trdnsverse nor lorgiiudinal
Therefractive intlexoirvateris 1'13' What
will. be 0re speed of liglrt inwater?
(A)
(B)
(C)
(D)
2l
i.0 x
108 m s-l
2"26
x 108m s-'
4.0
x
1.33
(A)
4L
(B)
?,L
(c)
4.L
(D)
,j
3
t-
i08 rn s-'
x
iOE
m
s-:
7{
GO
1)2
t3B010icAPE2008
ONTOTHENEX|PACE
-824
itetn 26 refers to the follou'ing diagrant
"fhe distani;e between a node and a
wave
neighbouring antinode ilfa stationary
is
eqla!
1* 25mm -;
t-r'
(A)
(B)
(C)
(D)
the wa:Yelength
onequarterofwaveiength
rwice the wavelength
hatf ofthe wavelenglh
[tem 25 refers to the foilowing vibratior-rs
ecrur air coiumns o f equal length-
iltltll
of
26.
t1;;:*
ua
LL-
1
ffi
l
he ratio
(A)
(B)
(c)
iD)
12:6:3'-
1
:2
-the
brieht
separation debrueen the first and tlfth
used
t i"g* i. 2.5 mrn when the wavelertgth
slits to
is 6) x 10" m- The distance fiorn the
olthe screen is ii"8 m, then the separation
is
slits
two
the
0.2mm
0.5 rnm
0"8rnm
l-0mm
When monoclrromatic li ght' of wavelength
on aplane
6.1) x l0-7 m is incident norrna'lly
4
t:2'"4"3
4'.2
In a Young's two-slit experirnent"
(A)
(B)
(C)
(D)
ofthe frequencies f, : f, : f, : f"rs
Young's
Fringes
the iwo
dif'fiaction grating, the angle between
is40p'
seconci ordcrdiffraction lines formed
"3:4.t
"3
What is the number of lines per rnillime tre
ofthe grating?
(A)
(B)
{c)
(D)
28"
187
?85
350
s36
W ln-?
Two souncl waves have intcnsities 0'1
in
their
difference
isths
What
and 5 W m'2'
intensity levels?
(A)
(B)
(c)
(D)
1.7
dI]
5 dtl
l7 dB
50 dB
iU
Whrch siateiiieiri tsESi- expiains the
A comnosite bar of I materials of the mla.l
conduclivities k,2k and lk" The sides ofrhe
bar are lagged and hear is transferred fron-r
Ieft to right as shoun in the diagram below.
ircrLlrrelce of corivection cun*nts?
(A)
i{ot molecules cxen greaier forccs
/n\
I)-^.'-i,.a
thari cold ones.
\.'',
(C)
(D)
-ratinn
r
t,l\ll
iL\l
conteiner and the container is allowed to
rehrm to iis orginal temperature" What is the
final pressnre ofthe gas?
r
(A)
(B)
(C)
(D)
I
ll\i
trll\l
I
l
I
l\
I
I
l\l
irlii\
-.i---l-ra,* _a *-_a
ofboilirig.
of gas at a pressure of 3-5 x 10s Pa. An
extra 4.0 mo! of gas is pumped intc the
teFp
ttl--r
tn h.e
A container of fixed volume contai-ns 5.0 mol
composite wall?
tA)
ft"i,Jc
in constant modon.
Heat decreases the density offluids
tluough expansion so they mustriseThe movement ofbubbles due to the
process
Hach iayer has thickness a and thc
lemperature disribution is tl > t, > t? > 1{.
Which of ihe flollowing diagrams BES'Idescribes th6 temperature gradient ol the
no'.ca-
i
_t .nosition
39
tE)
3.5 x I05 Pa
4"4 x 10I Pa
6.3 x 105 Pa
14
x
105 Pa
Which cfthe iollowing equartions represents
theTO'|AL kinetic energy ot'one mole ola
monatomicgas?
iA)
!:,. -' ?p11'
tlaJ
;Rr
(c)
Itr
3
I
(a
?.
(D)
2T
position
teTp
(D)
"\l ii
r:l la
i I l\t
I
t.L
i
--i.+a+t- -'1, .oosition
k_a-+_a
CO ON TO'THE NEXT PACF,
02138010/CAPE2008
29
sounri r.r'aves ,Jl the Saiinc li'eqrrr:trcy
having amplitudes of. f cm and I crn
respectiveli iLre moving torvards cach other
Trvr:r
:,- .L,, -^-
l:- . TA^ ,.--,,lranr
var.v in loudness-
*le m?Lriimum
10
(A)
tB)
(c)
(D)
l0
*-:^L4
- r.r
r\brr.
produced wili
-[.he
_]J
$r
l ri Lt.
r:;
lhe
(,,\)
(t])'
(t:)
(t))
of
rninimum inrensiiv is
4/r
9t2
6t1
eti
34
llcai capacit!
I-atent heat
S1u:cificheatcapaciry
Specificiatentheaf
A solar llrmace has a concave mirtttr
rrl
collc'ctinp, ruea0.Bl/m'Z and fre average thenrrnl
radiatiou frorn the sun reachi$g the eartlr is
abotit ?50 Wm-2^ A smali object with hc^l
capzrcity i-rl' 1000 J K-' is heated by tho fumac.:
nearobjects is callcr1
from l0
31.
tt
rlrrrr'
ratio
'fhe inability of the eye to focus cicarly on
{A)
0r)
(C)
(1})
irilnc gi'/en lo l,he arn,tut ll ol l t,
..'rrt'rgy rrcedcC to raise tire tcmperatt.ttc r rl I
k;4()i .:Lil]:,1ilr.lc€through i deglecoL i kt:llrn',
oC to
40'C. I he tirne
taken ii.rr tlrr:
hcating is
presbyopia
isigmxism
(A)
(B)
(C)
(D)
nryopia
hypermetropia
30 s
50 s
60 s
t00 s
A geologist needs to know how the
tempe.rature ofthe soil 20 m below the earth's
'l'he
11qILl5 reters to the diagrum belcw showing
the change in temperalure of subst.ancc Q
surtbces changes throughout the day'
thermometer he s*lects fr.rr this job is thc
*,ithtirne"
(A)
(B)
(C)
(D)
32
the
;),r
liqr'ri<i inglass
T/I{
conslant volume gas
resi$tance
thermocouPle
read!.ngs on a resistance thermomc'ter arc
follows
ice point27.5 O
steam point 73"8
f)
unknown Poirrt4l
"2
35
3)
What sectien <if the graph represents rh
chilrgc lirrm liquid trr rclid?
On the scale r:f the resistance thermotnctc.r
(A)
the unkncwn i.qmperafu.re is
0r)
(A)
(Br
(c)
tD)
29.6oC
A
(t
((.i)
C
(ri)
D
42^0oC
55.8 oC
s9.0oc
I
r
A boiler contains wate. at atmospheric
Which of the following satemerlts about an
41.
isorherriral proces-\ in an ideai gas are ir(Ie?
pressuie. Use the data brlow to calculete
tke rvork done by the s:'srern in pmducing
kg ofsteam (water vapour) at atmospheric
1
zero
pressrire-
T!:r cbaqge in
il
!41qt-n?! energy.
4[i
is zerc
Data: I kg of r,r'rter at 100 'C occupies
l.0x l0-rm'
i kg of steam at l0O "C and at
Iil.
-lhe
wor[ done by
the gas, lV, equals
the change in intemal energy.
aimospheric pressure occuPics
l.?m'
(A)
tB)
(C)
(D)
i'he energy added by htating" Q, is
I"
(A)
I
(B)
llonly
I arrd III cnly
II and III oniy
1.,-
oJ
I
iD)
l5o0 J
only
l00x i0'J
t"7x l05J
{tem 42 refers ta the diagnun above shcwing a hydrometer, a device that
measures relative densiry.
Liquid X of densitY
Water
42"
What is the densrty.P
(A)
(B)
(c)
(D)
P
ofliquid X?
1.3 kg m-r
300 kg mr
1000 kg mr
1300 kg m'3
77
COONTOTHENEXTPACE
02
l]80l0icAPE2008
I2
{3.
Achilddrinksorangejuiceofdensitl p,
using a straw held verticalty'. The atnospheric
pressure is P. and the child can lower the
I^errsrv
^. rL^.^4(
rr1v.!P
^g.L^
vl
^+-^-." L-. anO/
IvIAXIMUM kxrgth ofst-aw ihat would
aliow the clrild to drink thejuice is
The
,
IA\
2P"
pc
P
rBi ^r
4s
iC')
(D)
45.
Which one of the. statemenls aboul
Cefcrrmation
(4-)
(B)
{C)
(D)
-^-
ofsolids isNOT rue?
s,:l!d beha'.,es elesti*Il;.
I
Iooke's l.aw applies.
P
!r-
.
)pg
ri,
{leq44 refers to the ficllowing diagram
llhe diagram strowsthe fbrce extension graph
foran elastic material. Whatdoesthe shaded
region under the graph represent?
(A)
(B)
(C)
(D)
TheYoung'smodulusofthematerial
The tensile stress of the material
Thetensile strain ofthe material
"fhe strain energy ofrhe material
IF YOU FINISH BEFORE TIME IS CALLED, CITECK YOLIR IYCIRK ON THIS TA$T.
021380rO/CAPE2008
*r.
done is stored as strain cnergy, ontrc
.G
44-
if
parnanent deformation takes place
after the force has been removed.
Stress is the extension per unit leng*r
ofthe material. It has no units.
All solids are elmtic when small
fcrrces are attached to themIn stretching a material, thc work
l
•
CAPE Physics 2008
U1 P1 Trinidad
-3·Item 5 refers to the following diagram.
The unit of the universal gravitational constan~
G, could be written as
l.
m- 3 kg s-2
m 3 kg- 1 s-2
(A)
(B)
(C)
mzs-2
(D)
kg-r mzs-2
8
2.
An ol;lject of mass, m, travelling initially at a
velosity, u, is acted upon by a force, F, for a
period, t, until it is travelling with a velocity, v_
Which of the following equations can be used
to determine the impulse of the force?
I.
A car of mass, m, shuts off its engine at the
top of a hill and 'coasts' downhill as shown
in the diagram. If frictional force opposing
the motion is F, the acceleration of the car is
given by
Impulse= Ft
II.
Impulse= mv - mu
(A)
(B)
!IL
mv-mu
Impulse= - - -
(C)
(D)
(A) ,
6_
!only
II only
I and II only
I and III only
Two falls collide and stick together. Which
of the following is true?
What is the gravitational field strength of a
planet whose mass is one-third that of the
Earth's and whose radius is one-half that of
the Earth (the gravitational field strength of
Earth is g)?
'i
; Momentum
:(A)
<yonserved
Conserved
!(B)
Conserved
Not conserved
; (C)
1-lot conserved
Conserved
'(D)
Not conserved
Not conserved
-g
(B)
-g
(C)
-g
(D)
16
27 g
Kinetic Energy
A bob is attached to a string and whirled in a
vertical circle at a rate of2 rad s- 1• The mass
of the' bob is 0.5 kg and the distance from the
top of the circle to the bottom is 4 m. What
is the MAXIMUM tension in the string?
(A)
(B)
(C)
(D)
4.0N
4.9N
S.9N
8.9N
9
(A)
'
4.
F/m
F/m- g sin 8
g cos 8-F
gsin8-F/m
t
(B)
(C)
(D)
3.
5.
4
3
4
4
3
. 4.
A car w'ith mass, m, moves round a circular
road of radius, r, at a constant speed, v. Which
of the following statements is/are true?
7.
I.
Its velocity changes and the
magnitude of the acceleration is
v
II.
!m
! .
(A)
The resultant force on the object is
(B)
The weight of the object is equal to
the weight of the fluid displaced.
The upthrust is equal to the weight
of the fluid displaced.
The upthrust is greater than the
weight of the object.
(C)
!fhe resultant force on the car is
outwards from the centre and
(D)
11
l
mv
equals-.
Which of the statements below BEST
describes the motion of a geostationary
satellite?
r
(A)
iThe forse. on the car is towards the centre in
(B)
[{A)
I only
i<B)
l(C)
Honly
)II only
1(D)
~and
(C)
(D)
II only
'
I
iIn deterr)uning the _density ofa cube a student
8
irecords the following measw·ements:
12.
I
i
Length IJf side, l = 3.0 ± O. l cm
, Mass ofcube, m = l 2.5 ± 0.5 g
'I'
i'
'
m
I. The stu?ent then uses the equation P = jl
N
~/
Wind---'--~:>._'Q~
+
1·
I IS
(C)
(D)
0.6%
7%
.14%
:40%
(A)
(B)
, For an object undergoing projectile motion
: which Qfthe following BEST describes the
'verticai and horizontal components of
velocity?
It moves with the same velocity as
the earth.
Its geographical location changes as
the earth rotates.
Its acceleration is zero.
Its angular velocity is equal to that
of the earth.
The diagram below shows a plan view of a
door which is opened slightly by an angle of
l 5°. A wind blowing in an eastward direction
hits the door with a force of 40 N. What is
the torque caused by this force?
ito deterfnine the density of the cube. The
/percent~ge error in the calculated value of p.
j(A)
(B)
(C)
(D)
13.
----'*
v.
Vertical
If pis the momentum of an object of mass m,
l
then the expression
E,... has the same unit as
v,
Constant
Constant
'~
(B)
Constant
Changes
(C)
Changes
Conatant
(D)
Changes
Cbanaea
•J'
7.8Nm
29Nm
58Nm
60Nm
1
Horizontal
Which
zero.
r
There is no resultant force on the car
since its speed is constant.
(A)
r
An object is flon1i11g in a fluid.
stat.ement is NOT true'/
2
~
r
I 0.
(A)
(B)
(C)
(D)
acceleration
force
energy
impulse
m
-5-
14.
For a parachutist falling at terminal velocity
(A)
(B)
(C)
(D)
16.
15.
the resultant force is acting
downwards
the acceleration of the parachutist is
9.8 ms·'
the gravitational potential energy is
being converted to heat energy in
surrounding air
the drag force on the parachutist is
less than his weight
A student of weight 500 N is planning a trip
up to the peak of Blue Mountain. From her
starting point, this will involve an increase in
altitude of 1800 m. She buys "high calorie"
energy bars which contain I 000 kJ of energy.
Assuming her body to be I 0% efficient, how
many bars will she need to eat for the
necessary gain in altitude?
(A)
(B)
(C)
(D)
Apehdulum is held at its highest point and then released. A suitable graph to show one cycle of this
motion could be
(B)
' (A) '
; Velocity
Velocity
Time
(C) ;
: Velocity·
Time
(D)
Velocity
'
Ti1ne
Time
17.
The;displacement of a particle undergoing
sim~le hannonic motion is given by
x = 8 sin 0.4;r t
The frequency of oscillation of the patticle is
l
l
9
90
900
(A)
(B)
(C)
(D)
0.2 Hz
0.4Hz
5Hz
8Hz
18.
The phenomenon of damping is NOT useful
m
(A)
(B)
(C)
(D)
a car suspension
a pendulum clock
the foundation of a building
the structure ofa suspension bridge
-6 -
What is the phase difference between the two points labelled A and Bon the graph below?.
19.
D
A
7Jr
(A)
~radians
(B)
~radians
(C)
2radians
(D)
31r radians
4'
3pi/2
131r
]7[
lt~m 20 refers to the following diagram.
I
I
\
A student's range of hearing is from40 Hz to
15 kHz. What is the SHORTEST wavelength
of sound she can hear if the speed of sound
in air is 330 m s· 1 7
\
I
\
I
(A)
(B)
(C)
(D)
\
; I
I
\
\
I
/,
\
\
I
•o
21.
\
I
0.022 m
0.045 m
8.25 m
22.0 m
\
I
\
D:-Bob
A~
22.
~C
Which of the following statements concerning
sound and lighl waves is conect?
B
(A)
20. '
(B)
is at
(C)
(A)
(B)
l
I
A pendulum starts its oscillation from
Position A. The kinetic energy of the
pendulum bob is MAXIMUM when the bob
(C)
'
(D).
Position A
PositionB
PositionC
~tween PositionsA and B
(D)
..
Both sound and light waves in air are
longitudinal.
Both sound and iight waves in air are
transverse.
Sound waves in air are transverse and
light waves are longitudinal.
Sound waves in air are longitudinal
and light waves are transverse.
l
-7Item 23 refers to the following graph which shows stationary waves on a string.
Amplitude
R
p
.
; 23.
i
'
Whefe on this stationary wave does an antinode exist?
(A)
Ponly
(B) .. Qonly
(C) I P and R only
(D)
Sonly
'
ii
I'
: !
124.
On what do the pitch and loudness of a sound
I
wav~ depend?
26.
.
I
Frequency
Amplitude
(B)i
Amplitude
Frequency
(CJ!
Frequency
Speed
(Dj
Speed
Amplitude
In Young's double slit experiment, the
separation between the slits is halved and the
dist~nce between the slits and screen is
douoled. The fringe width is
(A) ;
(B)
(C)
(D)
unchanged
halved
doubled
quadrupled
(A)
(B)
(C)
(D)
Loudness
(A),
I
'i2s
Pitch
Sound waves and light waves CANNOT
BOTH be
27.
refracted
reflected
polarised
diffracted
At a distance 20 m from a small loudspeaker,
the amplitude of the sound heard is 0.012 nun.
At a distance 40 m from the loudspeaker, the
amplitude in mm is
(A)
(B)
(C)
(D)
0.003 mm
0.006mm
0.012 mm
0.024mm
-828.
Standing waves are produced in a I 0 m long
stretched string. If the string vibrates in 5
segments and wave velocity is 20 mis, the
frequency is
(A)
(B)
(C)
(D)
32.
(A)
(B)
(C)
(D)
2 Hz
4 Hz
5 Hz
Colours are seen when the sun is shining on
a soap bubble~ Which phenomenon BEST
explaids this observation?
(A)
(B)
(C)
(D)
I
·.interference
Detraction
Polarization
Refraction
The nerr point of a defective eye is 30 cm
from the eye. If the normal near point is
25 cm from the eye, the focal length oflens
I
needed to correct this defect is
I
(A)
(B)
(C)
(D)
:'.
3.1.
5 cm
25 cm
30 cm
: 150 cm
i
On the absolute thermodynamic temperature
scale 4b7.32 °C is equivalent to
I
'
;
.
(A)
(B)
(C)
(D)
'i
'
i
1.49 K
134.l7K
307.32 K
I
I 680.47 K
I
The readings of a resistance thermometer are
20.0 ohms at ice point, 28.2 ohms at steam
point and 23. I ohms at an unknown
temperature. Determine the unknown
temperature on the centigrade scale of the
thermometer.
(A)
(B)
(C)
(D)
'
3oI.
Mercury-in-glass
Alcohol-in-glass
Thermocouple
Coslan! volume oxygen the1mometer
. IOHz
33.
29.
Which ofthe thermometers listed below could
possibly measure temperaii.ires between
73 Kand 1473 K?
34.
0.03 °C
0.38 °C
3.7' c
37.8 ° C
The S.I. unit for heat capacity is
(A)
(B)
(C)
(D)
J kg'
J kg-'K
J K'
JkgK'
I
-9-
•35.
A cer'.tain liquid is cooled. Which of the following graphs shows where the region B toC is the freezing
point?
(A)
o
: Te~p/ CA
(B)
o
Temp/CA
c
B
B
D
c
Time/ s
Time/ s
i
!•
i
<¢)
:
0
(D)
D
i Tef!lp/ C
0
Temp/CA
'
I
B
B
c
c
A.
D
Time/ s
Time/ s
'
i
;
'
/36.
Water falls from a height of 500 m. What is
the riJe in temperature of water at the bottom
if all ~f the energy gained is converted to
internal energy in the water?
!
(Specific h~at capacity of water= 4200 J kg· 1 K·')
'
I
(A)
(B)
(C)
(D)
0.19 K
.0.24 K
0.49 K
1.17 K
37.
Metals are generally better thermal
conductors than non-metals because
(A)
(B)
(C)
(D)
their molecules are less firmly bonded
they contain more electrons
they contain free electrons
their molecules are closer together
- 10 38.
The composite bar shown below has a unifonn cross-sectional area and is composed of2·unifonn bars,
A and B, of the same length placed in good thermal contact. The rod is well lagged and the ends are
maintained at temperatures
e,
and
s,
(where
e, > o, >room temperature).
The therjnal conductivity of A is greater than that ofB and the rod is in steady state_
Hot
end
Cold
end
e,
0,
~I cm --~MC---
l cm,---'!>
x
;Which ~if the following graphs represents the variation of temperature ( e) with distance (x) along the
''rod?
(I)
8/°C
(C)
A
8,
_
8,
B
I
(D)
B
0
2
8/°C
B
A
8,
I
I
I
_I_
I
I
0,
I
I
0
xlcm
(B) 8/°C
8,
_I _
8,
2
A
B
A
8,
I
I
I
I
I_
I
I
0
8/°C
I
I
I
I
_I _
I
8,
I
2
xi cm
0
;x/
CITI
I
I
I
I
I
I
I
I
I
_ I
I
I
2
xi cm
It·
- 11 -
39.
Which of the following methods of heat transfer
occurs as a consequence of a change of density
of a substance?
(A)
(B)
(C)
(D) ·
Item 42 refers to the followi.rig diagram.
Conduction
Convection
Radiation
Evaporation
42.
The temperature inside a furnace is 627 °C. At
the centre of the furnace is a cube of sides 0.5 m
with temperature 27 °C. What is the rate of heat
transfer between the furnace and the cube?
40.
The StefanLBoltzmann constant,
'
'
WnY 2 K·'
(Al
(B)
(d)
(]))
<I,
The material shown has length, I, and cross
sectional area A. When a force, F, is applied
to the material it causes an extension, e, in
the material. Which of the following
expressions can be used to determine the
Young modulus of the material?
is 5.67 x IO·'
(A)
II kW
lJ kW
'
5+;kW
!lOkW
(B)
(C)
Jt~m 41 refers to the following diagram.
(D)
Fl
Ae
FA
el
Ae
Fl
el
FA
~tmosphere
43.
20_!11
-
-
Water
- - -
(A)
(B)
j
4i. ! • Water of depth 10 m exet1s a pressure equal to
I
aimosphe~ic pressure. An air bubble rises to the
I
'.'. sJrface ofa lake which is 20 m deep. When the
i
Helium gas is kept in a container at a pressure
of 1.7 x 10' Pa. If the density of helium is
0.92 kg in-', calculate the root mean square
speed of the helium atoms.
!
I
!' . bubble reaches the surface its volume is 6 cm'.
What was'the volume of bubble at the bottom of
the lake?
(A)
2 c1n 3
CB)
3 cm'
12 cm'
18 cm 3
(C)
(D)
(C)
(D)
248
330
430
745
m s· 1
ms·'
ms·'
ms·'
- 12 44.
Item 45 refers to the following diagram.
Two identical springs are hung side by side
(in parallel) and they are connected to a loacl
of7 .5 N. They each experience an extension
of2.5 cm. What is the force constant of one
of the springs?
FIN
60
-------
30
-
-
-
2
el mn1
7.5 N
45.
I
1.5 Nm·'
(A)
(B)
(C)
l\SONm·'
(DJ
300Nm· 1
~ciNm·'
The figure above shows the force-extension
graph of a wire. How much work is done in
stretching the wire from an extension of I mm
to2mm?
(A)
'
(B)
(C)
(D)
0.0151
0.0301
0.0451
0.0601
IF ,YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
'
..
I ' ·.
I . :..
c I (:)2010 U1 P1
CAPE.,;Physics
1.
Which of the quantities below are
dimensionless?
I.
2.
4.
1
IL
III.
IV.
Rela:tive density
Force
Length
Refractive index
(A)
(B)
(C)
(D)
I and II only
II and III only
I and IV only
II and IV only
..
5.
In determining the density of a cube a student
records the following measurements:
m
. l'
6.
The student then uses the equation p = -
(A)
(B)
(C)
6 x 10
6 x 1026
6 x 1027
(D)
6 x 1028
':\
i'
must be zero
cannot be zero
is negative
may or may not be zero
1·
. i' :'~ ii .
l ,'.
A tennis ball is given a horizontal!vrlOfity of
8 mis when it is hit at a height L8:m'above
the ground. It is in the air for
IS
(A)
(B)
(C)
(D)
0.6%
7%
14%
40%
i
I
If the average velocity of a particle is zero,
then the distance it has travelled .
to deteqnine the density of the cube. The
percentage error in the calculated value of p
(A)
(B)
(C)
(D)
I
25
(A)
(B)
(C)
(D)
Length of side, l = 3.0 ± 0.1 cm
Mass Of cube, m = 12.5 ± 0.5g
3.
The molar mass of aluminium is rp g:and its
density is 2700 kg m.J. The nl).rnper of
.aluminium atoms in a piece of al~ujn with
a volume of LO m 3 is approximate!~ I
,
~.·
I '\
0.37 s
0.61 s
2.98 s
8.89 s
I1
'i1
; ,i
P: kg m.,
Q: kg ms.z
R: kg 2 m.J s·'
represent?
R
(A)
(B)
(C)
(D)
Distance .
Speed
Acceleration
Force
J
I
'
..
,
''
.,
i
I
.l
. Given that the following quantities have the
base units shown
What quantity does PQ
·.I
"
-4-
·,
Item 7 refers to the following information. Two identical masses are attached by a string, which
passes over a frictionless pulley.
:>
'
·,
L
'
1:
'i
1'
j
l
'"
All the graphs below are drawn to the same scale.
1.:1
Which pair of graphs below represents the acceleration of Body P and the acceleration of Body Q?
a
a
(A)
Q
p
time
time
\, i
I
I
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ji
i
a
i' I
a
Q
11
p
[: l'(B)
• 1<
';·
,,
time
l:t:
time
1
1
I
a
a
Q
p
I
\(C)
time
time
a
a
p
Q
,, {D)
1-------.. time
GO ON TO TIIB NEXT PAGE
..
,
..
,
-5-
8.
Which of the following pairs of conditions is
true for an inelastic collision?
10.
.A man of mass 50 kg stands on a.':~:.i,
bat. · oom
scale (balance) in an elevator. If~e el '. at or
accelerates upwards to 2 m s·'. What is the
reading on the scale?
·
Momentum
Kinetic Energy
(A) conserved
conserved
(A)
IOON
(B) not conserved
conserved
(B)
390N
(C) conserved
not conserved
(C)
490N
(D)
590N
(D) not conserved
not conserved
I
I
9.
Which of the following equations gives the
correct relationship between impulse and
momentum?
(C)
(D)
12.
It moves with the same velocity as
~ "'
. ·:.\
the earth.
:, ,f,f JI
Its geographical location\c]!J.~s as
the earth rotates.
: ,\ ~! ,
Its acceleration is zero. ' ; · ' ;
Its angular velocity is equal . that
of the earth.
·
•
(A)
I
(A)
(B)
.:
Which of the statements belbw·l3EST
I
'
;
describes the motion of a geqstat~opary
satellite?
' .
·
11.
• [mpulse=momentum
Impulse= rate ofchange
of momentum
Iinpulse =change in momentum
Impulse=(momentum)'
(B)
(C)
(D)
6
A man with a parachute jumps from a plane. He opens his parachute after 2.5 se<0onds. Which of the
graphs below BEST represents how his vertical acceleration a, could vary with time t, during the first 6
seconds ofhis fall?
(A)
a
(B)
I
(C)
2
3
4
5
a
t
6
(D)
a
.,
I
2
3
4
5
6
I
2
3
4
5
6
a
.. ,
t
-6A body falls from a cliff 80 m above the
ground. If it loses 25% of its energy
overcoming friction, what is its velocity on
impact with the ground? [g = 9.8 N kg· 1]
3.
16.
When a particle oscillates in a straight line
with simple harmonic motion, the period of
the oscillation is
(A)
(A)
(B)
(C)
(D)
1
19.8 m s·
28.0 m s· 1
34.3 m s· 1
39.6 m s· 1
(B)
(C)
(D)
If mis the mass of an object and E its kinetic
energy, then its linear momentum is
17.
directly proportional to the
displacement ofthe particle from
the origin
directly proportional to the
acceleration of the particle
independent of the frequency of
oscillation
independent of the amplitude of
oscillation
'
I
The displacement of a particle undergoing
simple harmonic motion is given by
(B)
x = 8sin 0.47l't
The frequency of oscillation of the paiticle is
(A)
15.
(B)
0.2Hz
0.4Hz
(C)
(D)
5Hz
8Hz
A student of weight 500 N is planning a trip
up to the peak of Blue Mountain. From her
, starting point, this will involve an increase in
, . altitude of 1800 m, She buys "high calorie"
.:' energy bars which contain 1000 kJ ofenergy.
1 Assuming her body to be 10 % efficient, how
\ , many bars will she need to eat for the
necessary gain in altitude?
r
I
(A)
1
(B)
, (C)
9
I
I
!
I
I
1~)
90
900
GO ON TO Tf:l\ENEXT PAGE
...
·1
-7Item 18 refers to the following diagram.
20.
/String
Which of the following events is as.sociated
with transverse waves but NOT )ongitudinal
waves?
ii
A
p
B
Interference
(B)
Polarisation
(C)
Reflection
(D)
Refraction
'
t
c
Driver
D
18.
(A)
21.
The diagram shows a Barton pendulum
system used to demonstrate resonance.
Which pendulum would swing with the
GREATEST amplitude when the driver 0 is
pulle9 aside and released?
Item 19· refers to the diagram below which
shows a snapshot of a rope as a transverse
wave passes along it from left to right.
I
'[
·i
_j
I
·I
i!
I, 1i
Sound waves with a frequencx <if . 00 Hz
travel through a medium with' a! s~. ~~.ed o. f
400 m s· 1• What is the phase difJfirence
between two points which are 3 m apart in
the direction of the wave?
Jr
(A)
-rads
4
(B)
-rads
2
Jr
i:·
(C)
-!i'
2
-Jr rads
3
'' ·1
I
(;:
(D)
19.
Which pf the following correctly shows the
directions ofthe motion ofpoints X, Y and Z
on the rope?
x y z
(A)
.J..
---+
t
(B)
.J..
t
.J..
(C)
t
t
t
(D)
---+
~
---+
Jr
:.:
rads
I
'
22.
4 '
·The following ~placement-po~i~o1 g.raph
represents a stationary wave at two ~erent
I1 ": '. .,
instants oftime.
Displacement
· '' ' j
Position
What does the distance PQ reprbse.iiit?
i
.
i
(A)
(B)
(C)
(D)
Halfthe velocity
Half the period
Half the wavelength
Halfthe amplitude
I
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-+ft
1·
)
.. ,
- 8-
I:
A wave of amplitude 10 cm has intensity I,.
Another similar wave has an amplitude of
5 cm and intensity I,. What is the value of
26.
11
12 .
-?
(A)
(B)
(C)
(D)
. (A)
(B)
(C)
(D)
2
4
20
50
27.
Item 24 refers to the following graph which
shows a stationary wave on a string.
Amj ).titude
J,
r
0.60
0.80
1.25
1.50
III.
Blue light is used instead of red,
The screen is moved away from the
I
slits.
·
The slits are brought closer togetl1er..
(A)
(B)
(C)
(D)
I only
I and II only
II and III only
I, II and III
38.
R
J
' I\
I
31
For a double slit interference pattern using!
light, the separation of fringes will increase
if
I.
II.
i'
i,
As light travelling in air enters a medium its
speed changes to 2.4 x 1O" m s· 1• The
refractive index of the medium is
p
Distance
I Where
on this stationary wave does an
antinode exist?
(A)
(B)
!(C)
· (D)
25.
An object is placed3 cm in frontofadiverging
lens of focal length 5 cm. Where will the
image be found?
(A)
About 2 cm in front of the lens
(B)
About 2 cm behind the lens
(C)
About
(D)
I
.
About -cm behmd the lens
·.Two light sources are said to be coherent.
The waves from them must therefore have
';'
:.1·
.l
!! '(B)
+I
I
\
!'
\
\ -~. (C)
'
.,,
1
!
\,
Ponly
Qonly
Sonly
PandRonly
28.
I
~D)
I
i
the same frequency and a constant
phase difference
the same amplitude and a constant
phase difference
the same wavelength and no phase
difference
the same velocity and a constant path
difference
~cm
in front of the Iens
2
2
I
I
GO ONTO THE NEXT PAGE
02138010/CAPE2010
.. ,
.,
39.
:I.
'
- 9! :
i
'
l.
IL
Ill.
(A)
(B)
(C)
(D)
30.
34.0
- - - - - I'
2.0
0
100 Temp/°C
I
32.
!
The graph show's how the lel\i.gth of the
mercury in a thermometer chan~~siwith
temperature. The temperatfr~· :"1hich
corresponds to a length of I 0.0 qm 1s :
(A)
(B)
(C)
.
'I ·~·fheat
What is the name
given to the amblint
energy needed to chitnge I kg bi w ·.ter at
I 00 °C into steam at I 00 °C? .
..
5cm
25cm
30cm
150cm
Which instrument is MOST suitable for
measuring rapidly changing temperature?
15 °C
20°c
25°C
30°C
I ,
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
.. ,
A converging lens always forms an
image biggerthan the object.
An object placed in front of a
converging lens can form a virtnal
IIllage.
A diverging lens can form a real
image of an object placed in front
ofit.
The near point of a defective eye is 30 cm
from the eye. The normal near point is
25 cm from the eye. The focal length of the
lens needed to ·correct this defect is
'
(D)
31.
'
Length/cm
!only
Uoniy
I and Ill only
_ ll and III only
.
Item 32 refers to the following g~ap!p..
Which pf the following statements regarding
lenses rs/are correct?
29.
1
I : :.
; • 'I
33.
(A)
(B)
(C)
(D)
Molar heat capacity
Specific latent heat of fusion
Specific heat capacity
S pecificlatent heat ofvaporisation
The resistance thermometer
The mercury-in-glass thermometer
The thermocouple
The alcohol-in-glass thermometer
.. ,
.,
- 10 -
i~ \In an electrical method for determining the
36.
i \specific heat capacity ofa metal, the fullowing
\ Ireadings were obtained
r: .
,mass of metal
\supply voltage
\current
'time for which heat supplied
\~~~peraturerise of metal
2 kg
240 V
3A
20 s
10 °C
~at is the specific heat capacity ofmetal?
.tA)
A composite conductor with materials of
thermal conductivities k, k!2, k/3 has insulated
sides. Heat is transferred through it from left
to right as shown in the diagram below.
Q
Each material has the same thickness. Which
ofthe following diagrams BEST describes tl1e
temperature gradient of the composite wall?
(B)
ti
{A)
I (C)
!'
~ '·,
I
'1
,l·j~)
1
•
i
.1\::
t,
t,
t.
x- x-
' :'.- - 'Ii
,..
,
-
'j
f
1'
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35:"!',:''' ,: Water
falls from a height of 500 m. What is
I
':l ; e rise in temperature ofwater at the bottom
''\ ·. \ · all of the energy gained is converted to
J
• ternal energy in the water?
. i:.
)
)
( )
(b)
ti - -
{B)
t,
----
t,+--+--~1.-----l
l.17K
0.19K
0.24K
0.49K
ti
{C)
--
--
--
t,
t,
t.
•i
i
~ 'I
I I
'!; f,.
I•
1
I
(D)
ti
-- -- --
t,
t,
t,
GO ONTO THE NEXT PAGE
'."
.,
..,
.I
37.
- II :
'
A cqntractor builds an office window of
40.
height I 50 cm and width ZOO cm with a glass
pane ofthickhess 0.5 cm. The temperature
difference across the glass is I 5 K and the
thermal conductivity of the glass is
0.65W m·' K· 1• Calculate the heat energy
per second conducted through the window.
(A)
j
>
(D)
·r
38.
A small black sphere has an absolute
temperature T 1• It is hung in the centre of
an enclosure whose walls are at a higher
absolute temperature T,. The net rate ofgain
of .thermal energy by the sphere is
proportional to
39.
(B)
(C)
(T,)'
(T2) 4 .,- (T/
(D)
(T2 - T/
P&·
.,
(A)
(D)
'j
~c, +c~+ ... CN
'
c12 +cff+ ..... +c~
(ci'+cJ+ ..... +c~f
N
I:! i
i
41.
'
(T,)•
A gas contains N molecules. \Tpe ;~peeds of
the molecu'.es are Cl'. C2 ... ,
f(hich of
the followmg equat10ns cap' \br··!used to
determine the r.m.s speed oftb.e:m . ecules?
N
'
(A)
I
(B)
1.63 kW
5.85kW
163kW
585kW
(B)
(C)
'
1
What is the total pressure on, the base of a
container of cross-sectional area \P,m'. if it
is filled with ethylene gylcb~ ci~ density
. 'I
"
1120 kg m" up to a depth of3 .D µi?j
[Atrn.
(A)
(B)
(C)
(D)
Avogadro's number is the number of
molecules in
'
press~ i~o t: IO' Pa]
3.3 x 104 Pa
6.7 x 104 Pa
I.Ox JO'
,,
Pa
1.33 x 10' Pa
Item 42 refers to the following,diagram.
(A)
(B)
(C)
(D)
G-A
one litre of gas atN.T.P.
one mole of a gas
one gram ofa gas
one kilogram of a gas
(..,__)- - - - - ; - - v i
i.
- + - - - - - [ - - - - - ' - ,~, :
42.
The material shown has length,/, and crosssectional area A. When a for4 I;', is applied
to the material it causes an extension e, in the
material. Which ofthe followir\g~xpressions
can be used to determine the Yc:rnpg~odulus
of the material? ·
· \ ·
!
- 12 -
43.
'•
Four different liquids are poured into identical measuring cylinders. The diagrams show the heights of
the liquids and their densities. Which liquid exerts the LARGEST pressure on the base ofits measuring
pylinder?
2 g/cm3
1.6 g/cm 3
(B)
-~---
20cm
i :'
lOcm
.'
1.2 g/cm3
C)
0.7 gfcm 3
(D)
~j,§
~~~
~~
40 cm
30cm
~!~}l
I i
•.;I
i: I
l rem 44 refers to the following graph.
' I'.
Item 45 refers to the following diagram.
~tress
· 1:
FIN
.·: !
60 ----------30 ------
1
e/mm
i
44.
This graphisMOSTlikelyto apply to
(A)
(B)
(C)
!·
(D)
~
I
2
~
I
f.
'
steel
glass fibre
an elastic band
polythene sheet
j
i''
li l
II
45.
The figure above shows the force-extension
graph ofa wire. How much work is done in
stretching the wire from an extension of I mm
to2mm?
(A)
(B)
(C)
(D)
0.015 J
0.030J
0.045 J
0.060J
rf ~OU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK. ON fHIS TEST.
'
I
. \
..
,
.. ,
CAPE Physics 2011 U1 P1
20log(6/4)
CANDIQATJO'
PI EASE NOTE'
PRINT your name on the line below and return
thisbookletwi~ht~eans~ers~eet. Failureto do
so may result m dJSquahfication.
TEST CODE
02138010
MAY/JUNE 2012
CARIBBEAN
EXAMINATIONS
COUNCIL
ADVANCED PROFICIENCY EXAMINATION
PHYSICS
Unit 1- Paper 01
90 minutes
(
22 MAY2012 (a.m.) )
READ THE FOLLOWING lNSTRUCTIONS
I
CAREFULLY~
l.
This test consists of 45 items. You will have 90 minutes to answer them.
2.
In addition to this test booklet, you should have an answer shee!.
3.
Do not be concerned that the answer sheet provides spaces for more answers than there are
items in this test.
4.
Each iten1 in this test has four suggested answers lettered (A), (B), (C), (D). Read each item
you are about to answer and decide which choice is best.
5.
On your answer sheet, find the number which corresponds to your item and shade the space
having the same letter as the answer you have chosen. Look at the sample item below.
Sample Item
Which of the following lists one scalar quantity
and one vector quantity?
(A)
(B)
(C)
. (D)
Mass : temperature
Momentum : pressure
Force : velocity
Potential energy : volt
Sample Answer
The best answer to this item is "Momentum : pressure", so answer space (B) has been shaded.
--
i iiiii
-=
-~
.
--
~--...
6.
If you want to change your answer, be sure to erase it completely before you fill in your new
choice.
7.
When you are told to begin, tum the page and work as quickly and as carefully as you can.
If you cannot answer an item, go Oii to the next one. Your may return to this item later. Your
score will be the total number of correct answers.
8.
You may do any rough work in this booklet.
9.
Figures are not necessarily drawn to scale.
10.
You may use a silent, non-programn1able calculator to answer items.
iiiiiiiiii
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
!!!!!!!!!!!!
Copyright © 2011 Caribbean Examinations Council
;;;;.
............ _.. . -·--··-- -. ----- . -- _..._ --"''
~---
. ------ . . . ··-. --......---..-
-~~-
~-
-.......----· .· ____ .... ,J·---
-~ ~ -~-.
--
·~--
-··- '-··- ......... "...............
-~-.--
.. -- .... -.................-.
- 2-
IJST OF PHYSICAl, CONSTANTS
Universal gravitational constant
Acceleration due to gravity
6.67 x 10- 11 N m2 kg·2
G
·- g
1 Atmosphere
Atm
Boltzmann's constant
k
9.81 m s·2
1.00 x 105 N m·2
::::
1.38 X 10"23 J K- 1 .
1.00 x 103 kg m·)
Density of water
=
Specific heat capacity ofwater
4200 J kg· 1 K- 1
2.26 X 106 J kg· I
Specific latent heat of vaporization of water
Avogadro's number
NA
6.02 x 1023 per mole
Molar gas constant
R
8.31 J K·' mol·'
Stefan-Boltzmann constant
cr
5.67 x I0-8 W m·2 K 4
Speed of light in vacuum
c
3.0 x 108 m s· 1
- 3-
1.
.2.
· Which of the quantities below are dimensionless?
1.
II.
III.
IV.
Relative density
Force
Length
Refractive index
(A)
(B)
I and II only
I and IV only
(C)
II and III only
(D)
II and IV only
4.
Which of the following is NOT an S.I. base
unit?
(A)
(B)
(C)
-(D)
In determining the density ofa cube, a student
records the following measurements:
Length of side, I= 3.0 ± 0.1 em
·Mass of cube, m =12.5 ± O.j g
. _·
6
to determine the density of the cube. The
percentage error in the calculated value of p
is
(A)
(B)
(C)
·(D)
3400m
(D)
34000m
.
.
.
Which of the following is NOT an equation
for uniformly accelerated motion?
v 2 = u 2 + 2at
(B)
· v =u+ at
(C)
s = ut +
(D)
s=
Yz
Ji
at2
(u + v) t
.
the~ the ~xpression
; .
2
P . has the same unit as
m
energy
force
irripulse
acceleration
(A)
(B)
(C)
(D)
. does --!::::..
PO represent?
Wh at quantity
R
(A)
(B)
(C)
(D)
34m
340m
(A)
. (B)
(C)
lfp is the momentum of an object ofmass,m, .
7.
P: kg m-3
Q: kg m s-2
R: kg 2 m-3 s- 1
3.
s
(A)
0.6%
7%
14%
40 o/o
Item 3 refers to the following quantities
. with their base units.
m
A signal station soWids its hom and flashes
a light to warn an·approaching·ship. The
· ship hears the sound 10 seconds after the
flash is seen. If the speed of sound in air
is 340 rn s-1, how far away from the signal
·station is the ship?
·
5.
The student then uses the equation p = .~
g
K
Distance
Speed·
Acceleration
Force
.I
i
ll
1
J
GO ON TO THE NEXT PAGE
l
l
02138010/CAPE 2012
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--
- .. ~~_,... ..... --,~ ·-· .......... __........~
..·-·· ......... ....... -.-
···-~
........, .........~-._..,.. _...... .-....... _._ ....
-.........-_. ..... ._........
... -.... _.......
.
-4-
8.
Which of the following pairs of conditions
is true for an inelastic collision?
Kinetic Energy
Conserved
(B) Not conserved
(C) Conserved
{D) Not conserved
(A)
11.
Momentum
A car with mass, m, moves round a circular
road of radius, r; at a constant speed, v.
Which of the following statements is/are
true?
I.
Conserved
Conserved
Not conserved
Not conserved
v2
r
II.·
III.
9.
Which of the following equations gives the
correct relationship between impulse and
momentum?
(A)
(B)
(C)
(D)
10.
Impulse = momentum
Impulse = rate of change
of momentum
Impulse = change in momentum
Impulse = (momentum)2
A force of 200 N acts on a trolley of mass
2 kg causing it to move off from rest and
reach a speed of 14 m s- 1• The rate of
change of momentum of the trolley is
(A)
(B)
(C)
(D)
28 kg m s-2
100 kg m s-2
200 kg m s-2
2 800 kg m s-2
Its velocity changes and the
magnitude of t~e acceleration is
(A)
(B)
(C)
(D)
12.
There is no resultant ·force on the
car since its speed is constant.
The resultant force on the car is
outwards from the centre and
.,
mvequals - - ·
r
I only
II only
III only
I and II only
When a small steel ball bearing falls
through glycerine it quickly reaches a
terminal velocity. This happens because
the
(A)
(B)
(C)
(D)
viscous drag reduces to zero
upthrust
the ball bearing equals
the viscous drag
weight of the ball bearing equals
the upthrust acting on it
viscous drag increases as the
velocity of the ball bearing
increases
on
·.- .............. ·~·~· ····-.· .....
;
'
..
.
- 513.
A body falls from a cliff 80 m above the
ground. If it loses 25% of its energy
overcoming friction, what is its velocity on
ii?pact with the ground? [g = 9.8 N kg- 1]
(A)
(B)
(C)
(D)
14.
16.
x = 8 sin 0.4
(B)
(A)
(B)
(C)
(D)
(C)
17.
0.2 Hz
0.4 Hz
5Hz
8Hz
A pendulum is held at its highest point and
then released. A suitable graph to show one ·
cycle of this motion is
2P
mv
t
lS
A van has mass, m. The van's engine has a
maximum power output ofP. The LEAST
time for the van to be accelerated froni rest
(A)
1t
The frequency of oscillation of the particle
19.8 m s- 1
28.0 m s- 1
34.3 m s- 1
39.6 m s- 1
to a speed, v, is
The displacement of a particle undergoing
simple harmonic motion is given by
Velocity
(A)
p
mP
v
Velocity
(D)
15.
2P
mv
2
(B)
If m is the mass of an object and E its
kinetic energy, then its linear momentum
lS
(A)
m.fi
(B)
Velocity
(C)
(C)
(D)
Velocity
. ..f2mE
(D)
GO ON TO THE NEXT PAGE
02138010/CAPE 2012
<
...................... ~--........--.•.• ___ ,_ _ _ _ '_'-:"-............:. '-·-.................._ ............... ----- k"••• ..... _..... __ , __........_ ....... _.._.......,
----~~-----.. ·~--. ···~·
......... _ .. - .. ~-- ........._ .. __. ...- .....- ...... : .... __ _
oo · - - .. ~ ....... ___ ...................., __ ,..................._._.._., _
_,..0•
----··P~
....-..
-~------·-··--····-···-~
'00
,,._.,,.,,-~-·-- -.·r·--·· .. o•,·•~ .... '"' ·~-
•
-618.
Which of the· following graphs represents
a body undergoing critical damping?
(A)
20.
Amplitude
Which ofthe following events is associated
with transverse waves but NOT longitudinal
waves?
(A)
(B)
{C)
(D)
(B)
21.
Amplitude
Reflection·
Refraction
Interference
Polarisation
What is the phase difference between the
two points labelled A and B on the graph
below?
D
Time
X
(C)
Amplitude
Time
(D)
(A)
3tr dians
-ra
4
(B)
37r d"tans
-ra
2
Amplitude
(C)
1tr d"1ans
-ra
4
(D)
37rradians
Item 22 refers to the following displacementposition graph which represents a stationary
wave at two different instants of time.
Displacement
19.
Which of the following statements
concerning sound and light waves is
correct?
Position
(A)
(B)
(C)
(D)
Both sound and light waves in air
are longitudinal.
Both sound and light waves in air
are transverse.
Sound waves in air are transverse
and light waves are longirudinal.
Sound waves in air are longin1dinal
and light waves are transverse.
22.
What does the distance PQ represent?
(A)
(B)
(C)
(D)
Half the velocity
Half the period
Half the wavelength
Half the amplitude
...
- 723.
The intensity of soun<l 1s directly
proportional to the
(A)
(B)
(C)
(D)
24.
(C)
(D)
25.
amplitude ofthe oscilh1tion
wavelength of the oscillation
square of the wavelength of the
oscillation
square of the amplitude of the
oscillation
when they have the same frequency
only when they have a phase
difference of zero
when they can undergo
superposition
when they have a constant phase
difference between them
After investigating the refraction of water
waves in a ripple tank, a student draws the
following conclusions.
In a double slit experiment using a
monochromatic light source of wavelength
400 nm, the distance between the bright
fringes was found to be 8.0 mm. If the
screen is 5 m from the double slit, what is
the slit separation?
(A)
(B)
(C)
(D)
Two sources are said to be coherent
(A)
(B)
A&D
27.
28.
What is the ratio of the intensity of two
sounds if one is 8.0 dB louder than the
other?
(A)
(B)
(C)
(D)
29.
0.001 mm
0.25 mrn
1 mm
250 mm
10^0.8
0.63
6.3
80
108
The power of a lens of foca1length 15 em
is
I.
II.
III.
When refraction occurs, the wave
length of the waves changes.
Refraction is caused by a change
in the speed of the wave.
When the waves are incident along
the normal, a change of frequency
occurs.
(A)
(B)
(C)
(D)
30.
Which of the above conclusions is/are
correct?
(A)
(B)
(C)
(D)
(D)
26.
As light travelling in air enters a medium
its speed changes to 2.4 x 108 m s- 1• The
refractive index of the medium is
(A)
(B)
(C)
(D)
6.7D
67D
If an object is placed 10 em in front of
a converging lens of focal length 30 em,
where is the image forrned?
(A)
(B)
(C)
I only
I and II only
II and III only
I, II and III
0.067 D
0.67D
10 em behind the lens
30 em in front of the lens
Between 10 em and 30 em behind
the lens
Between 10 ern and 30 em in front
ofthe lens
0.60
0.80
1.25
1.50
GO ON TO THE NEXT PAGE
02138010/CAPE 2012
., . .._~,.._~~'"'-·•'•
••·•
__ ,.,..,,., •••. _ . . , , _.,..,..,..,...,.,_ ..... . _ . , , , ,.. ... _
.,. -"-'•-...:•·-~ ..- · ........•, • ' · '
·~-.-.. .. ••,· .-,..,_.,..,.._..,....
--•--·,•·
_.,....., ..., - _ , , _ . . , _ , •• ,..._.-...... -.--..·,,•,
o••.·,
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-..-,·~-·· •
,,._.,~.- • .....,,- ..
...,_,.., '""''
.., .. ,-.,~,,.,.
• o _ _ _ _ , . . , , ... ,
•··~·-
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,, '
!•
-·•·•-
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. ~
--· ~ ......~ .. ~~---~---· .-.-- --~·~ ·-·--· ..,........ .-....~.... ~~--·
~~._, . .,.
-~···~ • .,._..,.,._,_ •. _
_..
-.-.-.-.. • ..._.._,~~···
.
.-.•.o·• ....-.-....- ... .,,.,... ._.,_~,·-·· ' " ' • , . ..,. ... ._,. • .,,.,.
.-<-• ~,....,...._ .. ~- .. ,....... ....._,,.,...-. ,,.,...._,, __,..,,..,-.,•• ......_.. v
, .• ,., o _.,., . . . . .
.
•·•·•··"''",. ,,,,....._........... .,
·~-~•- .._ ,_..,,_.~ -·~•-·-''"-"'"''""' "'"••'··
"·
,.,. •• - - .
..... , ··~·
,..,__., ... ·• ••·
• - ~ •• - . • ·--• .- •
. ..
-831.
Which of the thermometers listed below
could possibly measure temperatures
between 73 K and 1473 K?
(A)
(B)
(C)
(D)
32.
34.
Thermocouple
Alcohol-in-glass
Mercury-in-glass
·Constant volume oxygen thermometer
In an electrical method for determining
the specific heat capacity of a metal, the
following readings were obtained:
2kg
Mass ofmetal
240V
Supply voltage
3A
Current
Time for which heat is supplied 200 s
lOK
Temperature rise of metal
What is the specific heat capacity of the
metal?
Temperatures on the empirical centigrade
scale are determined by the formula,
(A)
240x3x6 Jkg. 1K_ 1
2xl0x200
where x is a physical property that
varies with temperature. What is x for a .
thermocouple?
(B)
2xl0x200 Jkg. 1K_ 1
240x3x60
(A)
(C)
2x10x200 Jk _,K_ 1
240x3
g
(D)
240x3x200 Jk _1K_ 1
2xl0
g
B=
Xo-Xo
.X
100 °C
Xtoo -xo
(B)
(C)
(D)
33.
e.m.f.
Volume·
Length·
Resistance
Which of the following statements is/are
true about temperature?
35.
I.
II.
IlL
(A)
(B)
(C)
(D)
Whilst a substance is melting its
temperature remains constant.
The temperature at the triple point
of a substance has a constant
value.
The boiling point of a liquid does
not depend on the pressure of the
surroundings.
· I only
I and II only
II and III only
I, II and III
On a hot day, you feel cool when you
perspire because the
(A)
(B)
(C)
(D)
perspiration is wet and you feel
cooler when you get wet
molecules in the air absorb the
perspiration from your skin
day is so hot that you feel cooler
when compared to the heat of the
day
perspiration takes heat energy from
your skin to help it evaporate
- 9Item 36 refers to a compo_site conductor
with materials of thermal conductivities, k,
k/2, k/3, which has insulated sides. Heat is
transferred through it from left to right as
shown in the diagram below. Each material
has the same thickness.
37.
.,.__ Insulation
A contractor builds an office window of
height 150 em and width 200 em with
a glass pane of thickness 0.5 em. The
temperature difference across the glass is
15 K and the thermal conductivity of the
glass is 0.65W m- 1 K- 1• Calculate the heat
energy per second conducted through the
window.
Q
. (A)
(B)
(C)
(D)
.,.__ Insulation
36.
Which of the following diagrams BEST
describes the temperature gradient of the
composite wall?
38.
Ill.
(A)
(B)
(C)
tl
tl ·- -~~---+---""!
(B)
585W
· Covering a bowl of hot soup with a plate
reduces heat loss by
I."
II.
(A)
1.63 kW
5.85 kW
163 w
(D)
conduction
convection
evaporation
I only
II only
II and III only
I, II and III
t3 -+--t-----"''icc---+
(C)
. tl +----"'1<:--t----t
t3+--+--~~-+
t4
(D)
tl
tl
t3
t4
GO ON TO THE NEXT PAGE
02138010/CAPE 2012
...
- 10-
39.
(A)
Which graph BEST represents pressure 'P' of a gas as a function of its mass when the gas is
pumped into a container of fixed volume and the temperature remains constant?
p
(C)
p
Mass
(B)
p
(D)
p
Mass
Mass
40.
The total kinetic energy of n moles of a
monatomic gas at temperature T is given
by the equation
(A)
Ek =
41.
What is the total pressure on the base of a
container of cross-sectional area 5.0 m 2 if
it is filled with ethylene glycol of density
1120 kg m-3 up to a depth of3.0 m?
nRT
[Atm. press= 1.0
1
(B)
E=
k
2 kT
(C)
E=
k
3
2
(D)
E=
k
3
nRT
2
nk:T
(A)
(B)
(C)
(D)
3.3 x 104 Pa
6.7 x 104 Pa
1.0 x 105 Pa
1.33 x 105 Pa
x 105 Pa]
- 11 -
42.
Item 44 refers to the following graph.
Two identical springs hang side by side (in
parallel) and are connected to a loadof7.5
N. They each experience an extension of
2.5 em. What is the force constant of ONE
of the springs?
Stress
The graph above is MOST likely to apply
to
44.
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
1.5 Nm-1
30 Nm-•
150 Nm- 1
300Nm- 1
steel
glass fibre
an elastic band
polythene sheet
Item 45 refers to the following diagram.
43.
A 5 kg mass hangs from a uniform steel
wire· and the resulting stress in the wire
is cr. Hanging a 10 kg mass from a steel
wire of twice the diameter would result in
a stress of
(A)
(B)
(C)
(D)
F(N)
60
cr/2
cr
2cr
4cr
30
1
45.
2
e(mm)
The figure above shows the force-extension
graph of a wire. How rr.tUch work is done
in stretching the wire from an extension of
1 mm to2 mm?
(A)
(B)
(C)
(D)
0.015 J
0.030 J
0.045 J
0.060 J
ENDOFTEST
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
02138010/CAPE 2012
'
I
·.
- 12-
Two ide~tical sp1ings are hung side by side
(in parall~l) and they are connected to a load
9f7 .5 N. :They each experience an extension
6f2.5 crri. What is the force constant of one
9fthe sp9ngs?
44.~
Ite1n 45 refers to the follo·wing diagran1.
FIN
..
I
i
I'
I
.I
30
I·
I
45.
i
i 1.5 Nm·•
I
i'
30Nm·1
i'I·
rboNm· 1
I;
The figure above shows the force-extension
graph of a wire. How tnuch work is done in.
stretching the wire from an extension of 1 rnm.
to2mm?
300Nm· 1
!
(A)
(B)
!
0.015 J
0.030J
0.0451
0.060 J
(q
j,
(D)
,.
:
I
I·
i·
i
i
I:·
I~
I
I
i·IF
f.
----·-
•
------·-
'
- · · - ~ ----~--- -~--
-
~ou ~H BEFORE TIME IS CALLED, cHECK YOUR woRK oN THIS TEST.
i
"'
•
;
~ ............. ··~ _
.
.. · · - - ........ k
~
~
........ v
••
· · · · - · · ' k . . . . . . . · - - - - - ~--- --~--- • • • • ·--~ · - · - · -
.
........
, , ..
·.r .•.
• ....... ·- · · - - · ·
~
· · - - • - - - . , ..................
-·----·~._
.
----- · · - · --· • --···- ··- •
---- . ·- . - ...... ··-··· '· - - · · · · · · · •••.••
~,... ~--
.....
··-h .....
-~-'·"-
••
·-. • • • • • . w
··-"-·. · - . -
. . . . . _.~·-· · - ·
. A-
•
CANT>T!).\TV
PI
EA~E
NOTE 1
Ptt!NT your 11:1111c on tl\C line hclnw and return
this booldt:l 1dlh the :UISll'~rsh~·cr. F:lilure to dll
so rn:i._y rc.-.:11lf i11 disqu11lific.ntion.
'('".
TE.) I
FORM TP 2013238
c.:( )QC.
1~
021. 38010
lvlAYl.IUNE 2013
L========-1
CARlBBEAN E:\AiVllNATIONS .COUNC:IL
CAHIBBEAN ADVANCYD PROFICIENCY EXAMINATION''
PHYSICS
U11it I - Paper 01
•.
1hour30 niinutes
(07.1uNE 2013 (a.m.) )
READ THE FOLLOWING INSTRUCTIONS CAREFULLY.
I.
I
~
.
r:.____·
~rhis
test.consists of45 ite1ns. You
'~'.ill have
l hour and 30 niinutes to ans\.ve·r then1.
'2.
In addition to this test booklet. you should have an answer sheet.
J ..
'
Do not be concerned that the nns,ver sheet provides spaces for 111ore ans\vers than there are
iten1s in this test.
4.
Each item in this test has four suggested answers lettered (A), (BJ, (C), (D). Read each item
you are about tcvans..,ver and decide "vhich choice is best.
5.
On your ans..,ver sheet, find the nun1ber \Vhich corresponds to your iL.e111 and shade the .spact.!
having the same Jetter as the ans\vc:r you have chosen. Look at the san1ple iten1 below.
Sample Item
Which of the following opiions lists one scalar quantity
and'one vector quantity?
(A)
Mass : ten1perature
(B)
(C)
(D)
ll-lomentt1m : pressure
00©@
Force : velocity
Potential energy : volt
The best answer to this iten1 is •·tv101ne11tu111: pressure", so ansv1er space (B) lu1s been shaded.
6.
If you \vant to change your uns,ver, be sure tO erase it con1pletely b~fore you fill in your ne\v
choice.
7.
When you are told to begin, turn the page and work as quickly and as carefully as you can.
lfyou cannot ans,ver an iten1, go on to the next one. You n1ay return· to this iten1 later. Your
score will be the total number of correct answers.
8'.
You may do any rough work in this booklet.
9.
Figures are not necessarily drawn to scale.·
JO.
You may use silent, non-programmable calculators to answer items.
DO
NOT TURN THIS PACE UNTIL YOU ARE TOLD TO DO SO.
r,..,, .. ,,,.;,,.1~• fF"I
,/"\11
r.,.,.;h1.........
i=~.• ,,....,;.., .. ~;,...,,
..
r ........~ ... :1
----,---~-----,.-....---.
•·
-2I .ISI OF PHYSICAi. CONSTANTS
lJniver!;al gravitntional constant
G
,·\cceleration due to gravity
"'"
=
9.81
I Atmosphere
Atn1
=
l.00 x IO'N nr'
Boltzn1ann's constant
k
l .38 x 10"-' J K- 1
Density of water
p
l.00 x 10 3 kg m-.'
6.67 x I 0- 11 Nm' kg·'
Specific hent capacity of water
s· 2
4200 J kg·• K- 1
.Specific latent heat of vaporization of,vater
1\vogadro's
111
=
nu~nber
2.26 x IO" J kg·I
6.02 x IO'-' per mole
Molar gas constant
R
8.31 J K·' 11101· 1
Stefan-Boltzmann constant
cr
5.67 x IO·' Wm·' K·'
Speed of light in vacuum
c
=
3.0 x 10' ms·'
GO ON TO THE NEXT PAO~
-3.
L
A rubber ball of weight, W, is suspended
from a support and is being displaced
lateralfy at an angle, (3 ° 1 from the vertical
by a wind of constant Corce, H. The ball is
in equilibrium and the tension in the string
is T.
3.
Which of the choices below gives the
dimensions of the universal gravitational
constant G?
(A)
(CJ
kg·' ml s-'
m s-2
kg m-2 s-'
(D)
kg-• m- 1 s-•
(B)
///
19
I
4.
Tension (T)
Ball
The number of moles of carbon-12 atoms in
0.060 kg is
(A)
0.5
(BJ
(CJ
5
6
(D)
12
Wind (H)
Which of the following equations is
s.
If x
=3 mg
and y
=9 kg
then
correct?
(AJ
(A)
(B)
(C)
(D)
2.
T= W
T= H
T = W/cos 8
T = H/cos 8
(B)
(C)
(D)
In determining the density ofa cube, a student
records the following measurements:
Length ofside, I= 3.0 ± 0.1 cm
Mass of cube, m
= r2.5 ± 0.5 g
,,
6.
y=3x!O'x
y=3xlO'x
y=3 x 106 .r
y=3xlO'x
What is the gravitational field strength of
a planet whose mass is one-third that of
the Earth's and whose radius is one-half
"that of the Earth's? (The gravitational field
strength of Earth is g.)
16
27
m
The student then uses the equation p = -
(AJ
--g
to determine the density of the cube. The
percentage error in the calcu.lated value of
(B)
-g
p
3
4
IS
(A)
0.6%
(BJ
7%
(C)
(D)
14%
40%
(C)
4
-g
3
(DJ
9
-g
4
GO ON TO THE NEXT PAGF.
-4 -
7.
For an object undergoing projectile motiL>n
which of the following options BEST
describes the vertical and horizontol
components of velocity"
Ill.
An object of mass, m, travelling initially
at a velocity, u, is ~cted upon b"y a force, F:
for n pc~·iod, t, uncil it is trnvelling with a
velocity, v. Which nf the following cqm1tions can be used ttJ dctc:nnine the itnpulsc
of the force?
Vertical
V,
Horizontal
V,
{A)
Constant
Changes
(Bl
Constant
Constant
(C)
Changes
(D)
Changes
Constant
Changes
Item 8 refers to the following information.
A lig.ht spring is permanently connected
I I.
2 kg
t' oooo' j
s kg
I
The masses of the blocks nre 2.0 kg and
5.0 kg nncl they cnn move freely along a
straight horizontal track. The spring is
compressed and the blocks are released
Impulse= Fr
IL
Impulse= mv -
1111.1
l'rl\I - 11111
Ill.
Impulse~
{A)
(B)
(C)
l only
ll only
l and IJ only
I and lll only
(Dl
between twu blocks ofwood on a frictionless
surface·as shown in the diagra111 be\o\v.
I
"I.
---1
A cnr with 111ass, in, n1oves around a
circular road of radius, r, at a const:.1nl
speed, v. Which of the following statements is/are true?
l.
The car's velocity changes and the
magnitude of the acceleration is
,,-,
sin1ultE1neously fron1 rest.
r
8.
When the acceleration of the heavier block
is I 0 m s-'. the acceleration of the lighter
block will be
{A)
(8)
(C')
(D)
5 111
IJ..
car since its speed is constant.
111.
s·<!
The resultant force on the car is
out\.vards fron1 the centre and
n1v~
equals--.
I 0 ms-'
r
20 111 s·~
25 n1 s··~
(A)
(BJ
9.
TJ1ere is no resultant force on the
Which of the following pairs of conditions
is true for nn inelastic collision'?
Kinetic Energy
Momentum
(A)
not conserved
conserved
(B)'
conserved
conserved
(C)
conserved
not conserved
(D)
not conserved
not conserved
..
(Cl
(D)
I only
J[ only
II and 111 only
I and ll only
-512.
Which of the statements below BEST
describes the motion of a geostationary
satellite?
(A)
(B)
(CJ
(D)
13.
It moves with the same velocity
as the earth.
Its geographical location changes
as the earth rotates.
Its acceleration is zero.
Its angular velocity is equal to
that of the earth.
If mis the mass of an object and£ its kinetic
energy, then its linear momentum is
16.
(A)
(B)
14.
15.
(A)
I
(B)
(C)
(DJ
9
90
900
A pendulum is held at its highest point and
then released. A suitable graph to show one
cycle of this motion could be
Velocity
(Cl
j;, E
(D)
,/2m£
A van has moss m. The van's engine has a
maximum power output ofP. The LEAST
time required for the van to be accelerated
from rest to a speed, v. is
(A)
A student of weight 500 N is planning a
trip to the peak of Blue Mountain. From
her starting point, this will involve an
increase in altitude of 1800 m. She buys
'high calorie' energy bars whicl]. release
1000 kl of energy when digested. Assuming
her body to be 10% efficient, how many
bars will she need to eat for the necessary
gain in altitude?
(A)
Ti1nc
Velocity
(B)
mv1
Thne
2P
(B)
mv
p
Velocity
(CJ
mP
v
(C)
Time
(D)
2P
n1V
2
Velocity
(D)
Tinic
GO ON TO THE NEXT PAGE
.
'
-617. ·
The displacement of n particle undergoing
sirnple harn1onic n1otion is given by
x = 8 sin (0.4 rrt) \\'here x is in metres and
I in seconds.
l9.
The following displocernent-position
graph represents n stationary wave at t\VO
different instants ol_' ti1nc.
Displ:lcc111cnt
The fr~quency ofosci\lation of the particle
is
(A)
(B)
(C)
(D)
0.2 Hz
0.4 Hz
5 Hz
8 Hz
The distance PQ represents half the
Item 18 refers to the following diagram.
.,-:~/.
' .
I
''
I
I
I
I
(D)
''
I
I
I
I
I
I
Ad~
18.
(A)
(B)
(C)
'
''
velocity
period
wavelength
amplitude
\
'
\
"
. t);;-Bob
~c
B
A pendulum starts its oscillation from
Position A. The kinetic energy of the
pendulum bob is MAXIMUM when the
bob is
(A)
(B)
(C)
(D)
ol position A
at position B
at position C
between Positions A a11d B
,.... ...... ,....
""·
.
.
.
..
~'
............................ .- ................... -
J
-720.
What is the phase difference between the two points A and 13
D
011
the graph below?
A
.;
(A)
(B)
77r
4
·137!'
radians
d'
- - ra 1ans
3pi/2
4
(€)
-7 7l'
ra d'1ans
2
(D)
21.
3n radians
The intensity of sound is directly
proportional to the
(A)
(B)
(C)
(D)
23.
amplitude of the oscillation
square of the amplitude of the
oscillation
wavelength of the oscillation
square of the wavelength of
oscillation
(A)
(B)
(C)
(D)
24.
22.
Which of the following statements
concerning sound and light waves is
correct?
(A)
(B)
(C)
(D)
Both sound and light waves in air
are longitudinal.
Both sound and light waves in air
are transverse.
Sound waves in air are transverse
and light waves are longitudinal.
Sound waves in air are longitudinal
and light waves are transverse.
Which of the following events is associated
with transverse waves but NOT longitudinal
waves?
Polarisation
Interference
Reflection
Refraction
Stationary waves are produced b·y
superimposing progressive waves of
frequency 500 Hz. Successive nodes are
separated by a distance of2 m. What is the
speed of the progressive waves?
(A)
(B)
(C)
(D)
125 m
250 ffi
I 000 m
2 000 m
s- 1
s-I
s- 1
s- 1
GO ON TO THE NEXT PAGE
-8ltetn 25 refers to lhe following diagrn1n \.vhich shO\VS n c;tationary \.vave on a ~;Lring.at one instant
in. tin1e.
An1plit11de
R
Q
Distance
p
25.
Where on this stationary wave does an antinode exist?
(A)
(BJ
(C)
(D)
26.
27.
P only
·Qonly
Sand Q only
P and R only
As light Lravclling in air enters a n1ediun1,
its .speed changes to 2.4 x IO' m s· 1. The
refractive index of the medium is
(A)
(B)
0.. 60
0.80
(C)
(D)
l.25
1.50
29.
(AJ
(B) ·
(C)
(DJ
unchanged
halved
doubled
quadrupled
X-rays differ from microwaves in that tl1ey
30.
(AJ
(B)
(C)
(D)
28.
In Young's double slit experiment, the
separation between the slits is halved and
the distance between the slits and screen is
doubled. The fringe width is
cannot be refracted
are deviated by an electric field
have a shorter wavelength
cannol be polarized
Accommodation in the human eye refers
to
A student's range of hearipg is from 40
Hz to 15 kHz. What is tile SHORTEST
wavelength of sound she can hear if the
speed of sound in air is 330 111 s·'?
(A)
(8)
(CJ
(D)
(Al
(B)
(~)
(D)
0.022 111
0.045 111
8.25 111
22.0
m
the dilation of the pupil to allow
more light to enter the eye
the adjustment of the lens to focus
on objects according to their
distance
changing the shape of the eye so
that tlie image fits on the retina
the use of lenses ro correct defocrs
in vision
.. ./'·
.
':?--:i;
I
•
-9-
!
31.
Which instru1ncnt is MQST suitable for
1neasuring rapidly changing temperature?
(A)
(B)
(C)
(0)
32.
The thermocouple
The resistance thermometer
The alcohol-'in-glass thermometer
The mercury-in-glass thermometer
(CJ
(D)
76.6
87.8
88.1
102.4
2s
5s
20 s
150 s
2 kg
240 v
3A
20 s
LO °C
What is the specific beat capacitY-of the
metal?
°C
°C
°C
°C
An immersion heater rated 150 Wis fitted
into a large block of ice at 0 °C. The
specific latent heat of fusion of the ice is
3 x LO' J kg- 1• How long does it take to melt
IOgofice?
(A)
(B)
(C)
(D)
In an electrical method for determining
the specific heal capacity of a metal, the
following readings were obtained:
Mass of metal
Supply voltage
Current
Ti.me for which heat supplied
Temperature rise of metal
The length of the liquid column in a
mercury thermometer at the ice point is
15 mm and at the steam point is 220 mm.
When placed in· a cup of tea, the length of
the mercury column is .195 mm. What is
the temperature of the tea, as measured on
the centigrade scale of this thermometer?
(A)
,(8)
33.
34.
35.
(A)
240x3x6 1 kg' 1K_ 1
2x!Ox20
(8)
2xl0x20 J kg-IK-I
240x3x60
(C)
2 x IO x 20 J k _, K-'
(D)
240x3x20 J k
2xl0
g
240x3
g
_,K_'
Water falls from a height of 500 m. What
is the rise in temperature of the water at the
bottom, ifall the energy gained is converted
to internal energy in the water?
(A)
{B)
(C)
(D)
O.L9K
0.24 K
0.49 K
1.17 K
GO ON TO THE NEXT ?AGE
.
.
- I0 -
36.
Which of the follo ...ving
statctncnt~
is/are
40.
TRUE?
I.
Whilst a substance is ni~lting~ its
temperature ren1ains constant.
II.
The triple point of n substance has
detenninc the r.n1.s speed of the n1olec.:1.1lc:s?
(A)
a constant value.
Ill.
(A)
(B)
(C)
(D)
37.
The boiling point of a liquid does
not depend on the pressure of the
surroundings.
I only
land 11 only
ll and m only
I, Tr and III
38.
(D)
Evaporation
(c,-, +Ci, + ..... + C,;;')'
(0)
41.
N
Four different liquids are poured inlo
identical measuring cylinders. The
diagrams below show the heights of lhe
l'iquids and their densities. Which liquid
exerts the LARGEST pressure on the base
of its 111easuring cylinder?
2 g/c111 3
(A)
Conduction
Convection
(C1 +c, +.... C.v)'
N
Which of the following methods of heat
transfer occurs as a consequence of a
change in density of a substance?
(A)
(B)
(C)
C1, + c'i + .... + c'N
N
(C)
conductors than non-metals because
they contain free electrons
they contain more electrons
their molecules are closer together
their molecules are less firmly
bonded
JC, + C~+ ... C,v
(8)
Metals are generally better thermal
(A)
(B)
(C)
(D)
/\ gas contriins N molecul_~s. 1·11e spci:ds
of the m0lccules are Cl, C2 ... , C,;. Whid1
of the follo,ving equations can be used to
..
,
I.6g/cmJ
Radiation
10
39.
(B)
A small black sphere has an absolute
temperature T,. It is hung in the centteof
an enclosure whose wnl Is arc at a higher
absolute temperatu;e T,. The net rate of
gain of thermal energy by the sphere is
proportional to
(A)
(T ,l '
(8)
(T,)'
(C)
(T/- (T;J'
(D)
(T, - T,)'
20 cm
Clll
l.2 g/cm 3
(C)
t~
(0)
0.7 g/cm 3
40 cm
30cm
.•.
- 11 [Lem
42 refers to the following diagram.
Which of the following statements is NOT
one of the basic assumptions of the kinetic
theory of gases?
44.
The attractive forces between the
gas molecules are negligible.
The collisions between the gas
·molecules are inelastic.
The size of the gas molecules is
negligible compared to their
separation.
The duration of a collision is
negligible compared with the
time between collisions.
(A)
42.
The material shown has length, I, and
cross-sectional area, A. When a force,
F, is applied to the material .it causes an
extension, e, in the material. Which of
the following expressions can be used
lo determine Young's modulus of the
material?
•·-'
(A)
(B)
(C)
(D)
Fl
·Ae
4~
refers to the following diagram.
60
-
-
-
30
-
-
-
Item
(8)
(C)
FA
el
F(N)
Ae
-
Fl
(D)
43.
(A)
(C)
(D)
-
-
-
·el
-FA
Helium gas is kept in a container at a
pressure of I. 7 x IO' Pa. l f the density of
helium is 0.92 kg m·', calculate the root
mean square speed of the helium atoms.
(8)
~
2
45.
248 ms·•
330 ms·'
430 ms·'
745 ms·'
e(mm)
The figure above shows the force-extension
·graph of a wire. How much work is done
in stretching the wire from an extension of
1 mm to2 mm?
(A)
(B)
(C)
(D)
0.015 J
0.030 J
0.045 J
0.060 J
END OFTEST
IF YOU FINISH BEFORE TIME
rs CALLED, CHECK YOUR WORK ON THIS TEST.
021380 IO/CAPE 2013
~-····-····
-.
,..
t
CAPE
?|.,-',;^
Unit L PaPer 120L4
lr
1
1.
2.
Which of the ibllowing qr-rantities are dimen-
Item 3 refers to the follorving quantities
sionless?
and their Lrase units.
I.
II.
III
tV'.
Relative densiry
(A)
(B)
(C)
(D)
I and II only
I and IV only
P. lcg m-]
kg m s-l
R: kg2 1n-; t-t
p:
Force
Length
Reiractive index
lI
lI
and
and
3.
What ouantitv does
(A)
(B)
(C)
(D)
III onlY
IV only
A rubber ball of u'eight, W, is suspended fronr
a support and is being displaced laterally at
an angle, 0o, fiorn the vertical by a lvind of
constant fbrce, H. The bail is in e-qttilibrium
ancl the tension ;n the string is T.
Lt.
3PO
rerrresent?
R
Distance
Speed
Acceleration
Force
The nurnber of inoles of carbon -12 atoms in
0.060 kg is
(h)
(B)
,/ ,/ ,/
0.5
(c)6.
(D)
5
t2
\
Tension
(I)
5.
lf :r:
-?
mg and ,r,: 9 kg
then
(A) u:l x lOrx
(B) ,:3^i0s-r
(C) /:3 x 106.r
(D) /:3x lOe-u
;
t\
-.--_------.--..
Wind (fl)
II'
A iennis ball is given a horizontal velocity
of 8 m s-r rryhen it is hit at a height 1.8 m
abo.re the gror.rnd. It is in the air for
Wlrich of the fbllou'ing equatiorrs is correct?
(A)
1R\
(c)
(D)
T:
(A)
(B)
(C)
(D)
'V
I = ll'lcos 0
/:riicosv
7.
0.37
s
|
s
1.98
s
8.8e
s
0.6
ll' ,, is tlle t11(lntent(tnt
ar, thert the erpression
oF utr
4-
olrieci of ttrass.
11n5
the samc- unit
as
(A)
energ)/
rfl\
folce
inrpulse
acceleratiou
(c')
(D)
GO On\ TO TFIE NEXT PACE
-48.
n'hiclt oi the following pairs of u'ords
An object 0f mass, nr, travelling initially at
a velocity. a. is acted upon by a tbrce. F,
BEST descLibes tlte verricaI and horizontal
fbr a period, l, until it is travelling rvith
components of velocitv
velocity, r'. Which of the follorving equa-
For an object undergoing projectile motion'
10.
?
a
tions can be used to determine the impulse
Horizo ntal
!'ertical
V
V
ofthe force?
!
tA)
Constant
Clranges
(B)
Constant
Constant
(c)
Changes
Constant
(D)
Changes
Changes
l.'
lntpulsc = Fr
ll.
lnrpulse = mv
tu.
lmpulse
tnv
9.
=-
-
(A)
I only
Which oithe
(B)
be true tbr an
INELASTIC collision'l
(c)
IIonly
I and tl only 'I and ttt only
I
The
mu
I
fbllou'in,u statetnents rvould
(D)
il'ttt
tc,rl amount of tnomentum is
not L:onserved.
il.
Tlre totalamount o['kinetic
energy ll.
describes the rnotioh of a geostationary
is not conserved.
I
II.
Thc total arnount of tnotnentum
Which ol'the fbllorving staternents BEST
is
satellitel)
conserved.
/A\
I only
(B)
t/.\
lllonly
I nrrrl ll nnlv
(D)
lirncl Illonly
(A)
tts a'cceleration is zero.
(B)
It moves rvith the same ve locity
as
the earth.
(c)
Its angular velocity is equal to that
Oi tlic u.irtli.
(D)
Its geographical location changes
as the earth rotates.
-5Item 12 relers to the fbilorving diagram which shorvs a plank in equilibrium when acted on by the
forces P, T and !V.
12.
From the diagram above, rvhich of the tollorving statenrents rvould be true?
I.
II.
IIl.
(A)
(B)
(C)
(D)
r3.
T+P=W
P (.r
+-v; = 11u
p.r =
!,
lonly
I and l[ only
ll
and
lll orrly
tll
I, II and
A tbrce of 200 N acts on a trolley cf
ma.ss
2 kg causing it to move otJ'from resr and
reach a speed
.lofa
(A)
(ts)
(C)
(D)
oi
14 m
s-r. The rate of
cf rnro'"ynlurn of the trolley
28 kg nr
s:
100 kg nr s-:
200 kg nr s'r
2800 kg nr s l
is
14.
A. body
talls tionr :r clitl'rtO nr above ihc
ground. If it loses 25% ot' its energy
overcoming fiiction, what is its velocity on
impact rvith the srorrnd? [g = 9.8 N kg-']
(A)
(i];
((')
(D)
i9.8 m
s-l
28.0 nr s
I
J4...i rn s-l
39.(r n, s-l
-615.
Item 16 refers to the following diagrarn
below rvhich shows a mass, rrl, hanging
from a spring rvith tbrce constant, /c' aud'
oscillating vertically rvith arnplitude ,L.
Which of the f,ollou'ing graphs of kinetic
energy against time BEST represents a
body i-ailing ftom rest and eventually
reaching a tcrnrirtaI velocity?
(A)
Ep
(B)
r6.
i/
t___--_--.---;,
(c)
during this simple harrnonic rnotion is
t
Ek''
,/
i/
i/
:/
i,/
-z-.
t
The tvIAXIMIUM velocity on the mass
/
(A)
_A
(B)
+A
(c)
r/l'
(D)
.I-.1
G_
F-,
Vrn
.
-- ,--,-
--..
=.
Item l7 refers to the tbllorving diagranr.
(D)
Ek,
:\
,\
\__
*--
T'
,/
al
D\*-/
^
l7
S--____>,
A pt:rrdulrrur star(s its oscillatiorr li'orn
Position P. l'he kinetic energy ot' the
pendullrm bob is lvlAxlVtUiVl rvltett the
bob is
(A)
(B)
(C)
(D)
at Positiou Q
at Positiorr [t
betrveeu Posiriorrs P anct Q
bettveen Positions
(l lrtd lt
CO ON TO THF- N[X1'P.'\(II:
Item 18 ret-ers to the diagram belovv which
shows a snapshor
ofa rope
21.
as a transverse
Which of the tbllowing graphs represents
a body undergoing critical damping?
wave passes along it from left to right.
(i\)
18.
!Vhich of the following sets of arrows
correctly shows the directions of the motion
of points X, Y and Z on the rope?
Amplitudc
(B)
YZ
tfl
(A)
vtv
(B)
t4\
v-+l
(c)
at+
tti
(D)
t9.
AmPlitude
(C)
Anrplitu<Ie
(D)
Amplitude
!Vhich oi the tbllou'ing starernents
concerning sound and lieht rvaves is
correct'l
(r\)
Both souncl and light rvaves in air
(B)
Both sound and light rvarves in air
(c)
are transverse.
S<;uncl rvaves in air ale transvcrse
are lougitudinal.
and light rva!'es irr
ail
are
longitr.rdinal.
Sourrd rvaves in ttir arc longitudinal
(D)
ancl
light \\,!lves in air
are
trans\jerse.
20.
Which ot'thc l'olklrving events is assc'rcitrted
rvith transve lse \\ja\jcs but NOT longituclinal
22.
Whiclr of'the fbllou'ing stlten'rents is NOT
trtrc lill a l'lrogrcssir.c rvatve'l
rr':t,.'cs'.)
(i\)
(B)
(C)
(D)
Retlectiorr
Reli'action
Interterence
Polarization
(A)
(lll
(C)
lt cclnsists of crcsts and troughs.
lt cortsists oi'one \\'ave rnoving
lt appears to tlavel flonr'one point
to anotlrcr.
(D
t
Energf is not tlansl'en'ed alorrs
the
\\'ii\ c.
GO ON TO Tl-lE NE.X-t P.,\GE
f\1 | f('frln,'r'-
^
nr- lrrr
.l
in
a singlc clircction.
-823.
As light tr:tvelling in air enrers a lnedium,
its speed chanses to 2.4 x lOs m s''' Ttre
lettactive index of the meditrm is
(A)
(B)
(c)
(D)
24.
26.
regardin-e lenses is/are correct?
0.60
1.25
a
r\ diverging lens can fotrr a real
irnage of an object Placed in
IIl.
sttur oF ttre displacemetrts
of
fi'ont oI it.
(A).
(B)
(C)
(D)
the
difflelence of the displacements of
tlre i'.,Cividual rvaves
product of the displacements of the
individual
(D)
a
virtual inrage.
l.5o
individual rvaves
(C)
An object Placed in fiont of
converging lens can form
lL
0.s0
at a point. the resLtltant displacement is the
(B)
Aconverging lens alrvays fbrrns an
irnage bigger than the object-
l.
The principte of superposition of !\'aves
states that u,hen trvo or mo[e waves n'leet
(A)
Which oI the tbllou'ing statements
27.
rvvaves
L
ontY
ll only
I and III onlY
It and ll[ onlY
The ncar point of a clefective eye is 30 cm
from the eye. The normal near point is
25 cm l'rom the eye. lre fbcal length of the
lens neecled to corrcct this det'ecr is
square of'the clisplacenrents ofl the
irrclividual waves
(A)
(B) (C),'
(D)
ttcnr 25 refbrs to the tollorving diagranr
rvhich sholvs two w:tves' A and B.
28.
-5
ctu
75 cm
30 cnr
l5O cm
\
Accommodation in the hulnarl eye
ret-ers
to the
25
What is tlre phasc difti:rence beL$'cerl
i\
aud
B'l
(A)
(B)
;T
-
r-ad
-l
racl
'l
(c)
(D)
29.
to
(A)
adjtrstnrent ol- the lcus
(B)
distance
charrging of the shape o[the eye so
that the irnage fits on the retitra
Tinre
fbcus
on objects according to their
(C)
dilation ot'the ptrpil to allos' nrtlre
light to entct tl'lc eYe
(D)
usc-
-l"he
of lenses Lo corrcct det-ects irr
visiorr
lrorvcr ttl'a lctts ot'lbcal lertgth l5 cnl
is
,,
rzt(l
-+
,T
TACI
(A)
(B)
(c)
(D)
t).067
L)
0.67 D
6.7 t)
(r7
l)
(io oN
1"O'l'l{F. NEX-f l'.\L;ir
-930.
object'is placed l0 cm in Front of
tF an
Item 34 ret'ers to a composite conductor
rvith materials of thermal conductivities. k,
k/2, k/3, rvlrich has insrrlated sides. Heat is
transferred through it fiom left to right as
shown in the diagram belorv. Each marerial
a converging lens of tbcal length 30 cm,
',vhere is the image fbrrned'l
(A)
(B)
(C)
l0 cm behind the lens
30 cm in front of the lens
Betvveen [0 cnr and 30 cm behincl
the lens
Betrveen l0 cm and 30 crn in front
of the lens
(D)
has the same thickness.
tl
k
.{
31.
The readings of a resistance thermometer
are 20.O ohms at ice point, 28.? ohrns at
steam point and 23.1 ohms at an unknorvn
temperatul'e. The unknorvn temperatule on
the centigrade scale of the thermometer is
(A)
(B)
(c)
(D)
32.
t1
34'
az
+.t+
p-t4
Insulation
+
Insulation
lr/3
+J+
Which of the Follou,ing diagrams BEST
describes the temperature gradient o{. the
composite rvall?
tl
0.03 "c
0.38 "C
3.7 "C
37.8 "C
(A)
t,
t-
tl
Which ol'tlre thennoltreters listed belorv is
best [or rneasuring telnperatures between
73 K and 750 K?
(r\)
(B)
(C)
(D)
33.
+
tt
E
tl
t,
(8,
Thermocouple
Alct>lrol-in-glass
Vlerctrry-in-glass
Constant volume oxygen
Lf
tr
Temperatures on tlre cnrpirical centigrade
scale are cleternrined by tlre tbmrula,
g
=
'\'t- -\" x
'tttr,
-
ll
(c)
100 "C
(,
-\,,
t;
tr
rr,here.r is a physical propert_V thar
varies rvith tcnlperaturL-. What is .v lilr.
a
thcrnrocoup lc'.)
(A)
(B)
(C)
(D)
Le ngth
Vtllunre
lnternal rc.sisrance
Electlourorivc tbr.cc (enrl)
(D)
tr
t,
t,
tJ
tl-) | 1()/l r n//\
^
nr
1r\ | r
CO Orl- TO TI-lll NEXl'Pr\GFl
- l0-
35.
The St unit tbr heat capacif.v-
Covering a bor'r'l of hot soup with a plate
reduces heat loss bY
(A)
(B)
(C)
(D)
36.
38.
is
.l
K''
['
II.
lll.
kg''
J [o'r 6'r
J kg K'r
J
Which of the fotlorving statements is
about
true
vision'?
(A)
A short-sigltted person
near 39.
(B)
r\ long-sighted person
(C)
For a sltort-sighted person, the
image ol a distanr object is
clearly.
sees
retina'
(D) For a ltlng-sighted person, tlte focal
is too long fbr
length of th"
"y.
the length of the e,veball.
A contractor builcls ari ullic,; it.itlou ui'
"i
height 150 crn ancl rvidth 200 cm rvitlr
a glass parte of thickness 0.5 cm. The
temperature clift-erence across the glass is
lttrl lh.. ihcrrrrrl conriuctivily oi tire
glass is 0.65 w m-r K-r. lVhat is the heat
i5
F-
energy per seconcl conducteci thLough
,,vindow'l
(A)
(B)
(c)
(D)
1.63 kW
5.85 kW
163
585
w
w
evaPoration
(A) [ onlY
(B) ll only
(Q) [[ and III onlY
(D) I,ll and tll
Which o[ the follorving statements rrbout
internal energy is/are true?
l.
focu.sed behincl the
37.
convection
sees near
objects blured.
objects
condtrctiorr
the
The internalenergy of a system is
and E of the
the sum of the
molecules of the system'
The intemal eneryy of a system is
';
ll.
lll.
proportional to the temperature
of the system.
Achange in phase does not attect
the internal ellergy of a system
because it happens at constant
temperature'
i
(B)
(C)
(D)
i.r'.
i '-il!v
[ attd
I and
l[ ort,-,
[[t onty
I, ll, and tll
I
ll
40.
Which oI rhe fbllos,ing graphs BEST
represents horv the extension ofa ductile
material varies progressively rvith the load
attached?
Load
41.
Four ditferent liquids are poured into iden-
tical measuring cylinders. The diagrams
shorv the heights of the liquids and
their densities. Which Iiquid exerts rhe
LARGEST pressure on the base of its
measuring cylinder?
(A)
(A)
2 g cm'J
u
(B)
(B)
l0
cm
1.6 g
cnr'l
(c)
F.rension
t.oad
|
/('\
I
1.2 q cnr-i
I
H
H
Extcnsioir
(D)
30 crn
L_t 0.7 g cm-'r
l.-'',ll
l',,11
l.ll
}]
,10
cnt
- t? Trvo idenrical springs hang sicle by side
(in parallel) and are connected to a load of
42.
7.5
N. They each
experieuce an exrension
of 2.5 cm. What is the tbrce constant of
ONE of the springs?
Strain
44.
The graph above is ivlOST likely to appty
to
(A)
(B)
(C)
(D)
1.5
(A)
(B)
(C)
(D)
N m-'
30 N m-l
N
;:r-l
300 N
n-'
150
steel
glass hbre
an elastic band
polythene sheet
Itern 45 refbrs to the follou,ing diagranr.
43.
What is the total pressure on the base of a
container oFcross-sectional area 5.0 m2, if
it is filled rvith ethylene gylcol of density
I120 kg m'i up to a dcpth of 3.0 m?
[Atnr. pless: 1.0 x lOi Pa]
(r\) 3.i x l0' Pa
(B) 6.7 x l0'Pa
(C) 1.0 * 105 Pa
(D) 1.33 x 105 Pa
-t
45.
The diagram sholvs the fbrce exter'rsion
graph tbl an elastic uraterial. Which
property of the elastic material does the
slraded regiorr under the graph reprcsent'?
(A)
(B)
(C)
( D)
E\D
IF YOU
r\i
r ltrn
| /rrl\
I.I\ISH BI..FOIIE ITtIi
r nl-
aar | .l
Young's rnorlulus
-l'ensile
stless
Tensile strain
Strairr cnergl'
OF TEST
IS C.\LLED. CHIiCK
\'OUII \\ ORK ON TI-IIS'I'EST.
=4,
coDE
FoRryI TP 2015?sE
0213E0r0
MAY/JIJNE 20I5
CARIBBEAN EXAMINATIONS COUNCTL
CARIBBEAN ADVAT.{CED PROFICIENCY EXAMINATIONO
PHYSICS
Unitl-Paper0l
I hour 30 minates
05 JUNE 2015 (a.m.)
BEAD THp FOLLOWTNG TNSTRUCTIONS CABEFULLY.
t.
This test consists of 45 itpms. You will have
2.
In addition to this test booklet, you should have an answer sheet.
3.
Do not be concerned that the answer sheet provides spaces for more answers than there are
items in thir test.
4.
l
hour gnd 30 minutes to answer them.
Each item in this test has four suggested answers lettered (A), (B),
arre about to answer and decide which choice is best.
you
5.
(c), (D). Read e4ch item
On your answer sheet, find the number which corresponds to your item and shade the space
having the same letter as the answer you have chosen. Look at the sample item below.
Sample ltem
Which of the following lists has one scalar quantity
and one vector quantity?
(A)
(B)
(C)
(D)
Sample Answer
@o@@
Mass : temperature
Momentum : pressure
Force : velocity
Potentialenergy : volt
The correct answer to this item is "Momenturn : pressure", so (B) has been shaded.
6.
lf you want to change your answer, be sure to erase it completely before you fill in your new
choice.
8.
Whgn you are told to begin, turn the page and work as quickly and as carefully as you can.
lf you cannot answer an item, go on to the next one. You may return to that item later.
You may do any rough work in this booklet.
9.
Figures are not necessarily drawn to scate.
7.
-II
I--I
10.
You may use a silent, non-programmable calculator to answer items.
DO NOT
THIS PAGE UNTIL YOU ARE
All
02 1380 tO/CAPE 20 t5
Exami
'
rights reserved.
-
rcns
TO DO
SO.
-2LIST OF PI{YSICAL CONSTANTS
Universal
gravitationalconstant
Acceteration due to
I
gravity
Atmosphere
G
:
6.67
B
atm
:
9.81 m
:
1.00
Boltzmann'sconstant
k
water
p*
Density of
=
:
x l0-'r N
x l05N
m-2
l.38xl0-23JK-r
1.00
x
103
kg m-3
2.26
x
| 06
number
NA
6.02
x
1023
constant
R
=
:
5.67
c
=
:
3.0xt08ms-l
Triple point temperature
T"
=
273'16 K
I
t
-
1000 kg
water
Specif;c f atent heat of vaporization of wate r
Avogadro's
Molar gas
Stefan-Bolumann
Speed
constant
of light in vacuum
tonne
o
kg-t
s-2
C*ro :
:
)"
Specific heat capacity of
m2
6-t
4200 J kg-r
J
kg-'
per mole
E.3i J K-' mol-'
x lO-t W m-2 K{
GO ON TO THE NEXT PAGE
02r38010/CAPE 20ls
3-
l.
Four students measure the circumference
of a circular room of radius 5.00 m using
a metre rule. Their recorded results are:
31.40
31.41
31.42
31.43
+ 0.04
+ 0.M
+ 0.M
+ 0.04
3.
in the container is
(A)
(B)
(c)
m
m
m
m
(D)
Which of the followings statements is
(A)
The measured circumference is
(B)
precise and accurate.
The measured circumference is not
precise and not accurate.
(c)
The measured circumference is
(D)
precise but nol accurate
The measured circumference is not
precise but accurate.
In determining the density ofa cube, a student
records the fol lowing measurements:
Length of side, I = 3.0 + 0. I cm
Mass of cuba, tn
=
12.5
+
r
to determine the density of the cube. The
percentage error in the calculated value of
(A)
(B)
0.0 m s'l
8.2 m s'l
(c)
28.0 m s'r
39.6 m s'l
(D)
5.
An object falls freely under gravity, g, from
a height of 12.5 m. Which of the following
equations can be used to determine the
time, l, taken for the object to reach the
ground?
(A) t- tB
{t
r
(B)
l=
(c)
t=L
25
(D)
l=-
pis
0.6 %
7%
t4 %
40%
2.s0
4.00
+ 9.5 g
The student then uses the equation p =
(A)
(B)
(c)
(D)
O.zs
0.40
A metal case is dropped out of a hovering
helicopter and plummets E0 m before
hitting the ground. What is its velocityjust
before it hits the ground?
colrect?
2.
A container of gas contains 1.505 x 1024
molecules. The number of moles of gas
25
I
CO ON TO THE NEXT PACE
02 1380 | OicAPE 20l 5
46.
What is the gravitational field strengh of a
planet whose mass is one-third that of the
Earth's and whose radius is one-half that
of the Earth's?
8.
is thrown vertically upwards and then
caughtatthe same level from which itwas
thrown. Which of the following graphs
would BEST represent the variation of the
ball's acieleration with time?
A ball
(The gravitational field strenglh of Earth
is g-)
IA
(A) 7s
(B)
(c)
(D)
7.
(A)
3
7s
4
1s
9
os
(B)
The frequency of a transverse wave
travelling along a stretched string of length,
/, with tension, Z, is given by
,=+E
Whichofthe following unis ofp willmake
the equation dimensionally
(A)
(B)
(C)
(D)
consistent?
(C)
kg m-'
kg s-'
kg-'s
kg-'m
(D)
GO ON TO THE NEXT PAGE
02l3801O/CAPE 201 s
-5-
.
9.
Which of the foltowing jairs of phrases is MOST appropriate for describing elastic and inetastic
collisions?
Elastic Collision
10.
Inelesfic Collision
(A)
Kinetic energy NOT conserved
Momentum NOT conserved
(B)
Momentum conserved
Kinetic eners/ NOT conserved
(c)
Kinetic energ/ conserved
Kinetic ener5/ conserved
(D)
Momentum conserved
Bodies stick together
An object of mass, n, travelling initially
at a velocity, z, is acted upon by a force,
I
for a period, l, until it is travelling with a
velocity, v. Which of the following equations can be used to determine the impulse
of the force?
lmpulse: Ft
Il.
lmpulse: mv - mu
(A)
(B)
(C)
(D)
lmpulse
-
A car with mass, ,tt, moves around a
circular road of radius, r, aa a constant
speed, u. Which of the following statements iVare true?
I.
mv-ma
t
There is no resultant force on the
car since its speed is constant.
III.
The resultant force on the car is
outwards from the centre and
eQuals tnY2 '
ll only
lll
r
II.
| only
Il only
I and
I and
The car's velocity changes and the
magnitude ofthe acceleration is
v'.
l.
lll.
u.
only
r
(A)
(B)
(C)
(D)
| only
II only
| and ll only
ll and lll only
GO ON TO THE NEXT PAGE
02t38010/CAPE 20t5
6Item 12 refers to the following graph which
shows the velocity of a small ball bearing
travelling through a measuring cylinder of
14.
Two cars of equal mass move with
velocities V, and V" respectively. When
the ratio of their kinetic energiestt
glycerine.
what is the ratio of their velocities?
(A)
E
(B)
E
(c)
^ft
i
,
2
(D)
3
,12
12.
The points labelled X and Y represent
respectively
(A)
(B)
(C)
(D)
force and acceleration
acceleration and terminal velocity
terminal velocity and acceleration
uniform velocity and displacement
15.
What is the powerof an engine that delivers
a driving force of200 N and causes a body
to move at a velocity of | 5 m s-t?
(A)
(B)
(c)
(D)
t3.
200
ls00
w
w
22s0w
3000
w
If m is the mass of an object and E its kinetic
energy, then its linear momentum is
(A)
^J-E
(B)
zJi n
(c)
,[i n
(D)
J2,,,8
GO ON TO THE NEXT PAGE
02r3801O/CAPE 2015
.716.
A pendulum is held at is highest point and
then released. A suitable graph to show one
cycle of this motion could be
17.
The displacement of a particle undergoing
simple harmonic motion is given by
x:
8 sin 0.4 n t.
The frequency ofoscillation ofthe particle
is
(A)
(B)
rt.
0.211z,
(c)
tlz
5.0llz
(D)
8.0 Hz
0.4
Which of the following pairs of words
BEST describes how a wave disturbance
moves in relation to the direction ofenergy
transfer for longitudinal and transverse
waves?
Longitudinal
(C)
vao"rty
Transverse
(A)
(B)
Same
Opposite
Same
Perpendicular
(c)
Opposite
Same
(D)
Opposirc
Perpendicular
(D) vdocity
GO ON TO THE NEXT PACE
02t380t0/CAPE 20t5
.8Item 19 refers to the following two graphs which display the variation of displacement, with
and distance rcspectively, for the motion of a wave,
x/cm
19.
What is the velocity of the wave?
(A)
(B)
(C)
(D)
20.
x/cm
LQ x lQr 6 t-r
3.0 x l03 m s-l
J.Q x lQr nt r-t
S.Q x I Qr n't t-t
What is the phase difference between the two points A and B on the fotlowing graph?
(A)
Z
.u61"n,
4
(B)
3z
radians
4
(c)
3o odiun,
2
(D)
3z radians
GO ON TO THE NEXT PAGE
021380r0/CAPE 20t5
time
9Two sources of wat'er waves, X and Y
generate waves which are of identical
frequency but out ofphase by 180". The
waves from X erc of amplitude 5 m and
the waves from Y are of amplitude 3 m.
Which of the following graphs corectly
describesthe oscillation ofa particle which
is equidistant from X and Y ?
2t.
I
22.
a
monochromatic light source of wavelength
400 nm, the distance between the bright
fringes was found to be 8.0 mm. If the
screen is 5 m from the double slit, what is
the slit separation?
(A)
(B)
DlspLccment(m)
I
In a double slit experiment using
(c)
(D)
23.
x
2.5 x
1.0 x
2.5 x
1.0
l0-5 m
lO-a m
l0-3 m
l0-2 m
The power of a lens of focal length | 5 cm
is
(A)
(B)
Displrcemeat(m)
(c)
(D)
24.
0.067 D
0.67 D
6.7 D
6AD
Stationary waves are produced by
superimposing progressive waves
frequency 500
of
Hz.
Successive nodes are
separated by a distance of2 m. What is the
speed of the progressive waves?
(c)
(A)
(B)
(C)
(D)
25.
125 m s-l
250 m s-'
1000 m s-l
2000 m s-r
Which of the following statements is NOT
true about reflection or refraction?
(A)
(B)
(C)
I
J
J
(D)
Both occur at the interface between
two different media.
The angle of incidence equals the
angle of reflection.
The refracted ray is on the same
side ofthe normal as the incident
ray.
The reflected ray is in the sanre
plane as the incident ray and the
normal to the miror at the point
of incidence.
CO ON TO THE NEXT PACE
02 l 380 | O/CAPE 201 5
t026.
Which of the following statements
concerning sound and light waves is
30.
to | 5 kHz. What is the SHORTEST
wavelength of sound that the student
can hear if the speed of sound in air is
330 m s-r?
40 Hz
corrcct?
(A)
(B)
(C)
(D)
Both sound and light waves in air
are longitudinal.
Both sound and light waves in air
are transverse.
Sound waves in air are transverse
and light waves are longitudinal.
Sound waves in airare longitudinal
and light waves are transverse.
(A)
(B)
(C)
(D)
31.
27.
At what angle does the second order
constructive interference occur for rcd light
ofwavelength 700 nm through a diffraction
grating that has 600 lines Per mm?
(A)
(B)
(c)
(D)
28.
As light travelling in air enters a medium,
its speed changes to 2.4 x lOtm s'r. The
refractive index of the medium is
(A)
(B)
(c)
(D)
29.
12"
39"
57"
90"
0.E0
t.2s
l.s0
Which of the following options conectly
identifies the disadvanage ofthe given type
of thermometers listed in the table?
Isbulkyanddifficult
to use.
(B) Thermocouple
Temperaturc range
is too small.
(c)
Platinum
Platinum is very
rcsistance
expensive.
(D) Constant volume Gas expands too
quickly.
gas
The triple point of water is chosen as the
upper fixed point on the thermodynamic
scale oftemperature ratherthan the melting
point of ice because
(A)
(B)
the distance between the slits and screen is
doubled. The fringe width is
(c)
(A)
(B)
(C)
(D)
(D)
doubled
quadruPled
Disadvantage
(A) Liquid in glass
ln Young's double slit experiment, the
separation between the slits is halved and
unchanged
halved
0.022 m
0.045 m
8.25 m
22.0 m
TYpe
32.
0.60
A student's range of hearing is from
the thermodynamic scale is not an
empirical scale
it makes the scale more linear for
gas thermometers
the melting point of ice varies with
the type of thermometer used to
measure it
it is precisely reproducible as it only
has one Possible temPerature and
pnessure
GO ON TO THE NEXT PAGE
02138010/CAPE 20ls
-
.
33.
The thermal productivity, &, of a material
in the form of a uniform cylinder is to be
determined from the rate of linear heat
flow, P, its cross-sectional atea'A,and the
temperature gradient, G (where C =
P
Ax
ll
35.
to internal energy in the water?
(A)
(B)
l.
(c)
Which of the following equations is
(c)
36.
Which of the following statements is/are
true?
*=G'!
I.
While a substance is melting, its
II.
temperature remains constantThe triple point of a substance has
a constant value.
P
lll.
(D) *=U
G
34.
0.19 K
0.24 K
0.4e K
(D) l.l7 K
correct?
(A) r=*
p
(B) k=fu
Water falls from a height of 500 m. What
is the rise in temperature ofthe water at the
bottom, if all the energy gained is converted
(A) I only
(B) I and ll only
(C) ll and lll only
(D) I,ll and III
ln an electrical method for determining
the specific heat capacity of a metal, the
following readings were obtained:
metal
Supply voltage
Current
The boiling point of a liquid does
not depend on the Pressure ofthe
surroundings.
2kg
Mass of
240V
3A
37.
Which of the following statements is true
abopt sight in human beings?
Temperature rise of
Time for which heat supplied 20 s
metal l0 "C
(A)
A short-sighted person sees near
What is the specific heat capacity of the
(B)
A long-sighted person
metal?
C&D(C)
z!W:-\ kg-r6 -r
(A)
\- -/
2xl0x20
(D)
2 xlO x20
(B) ffiJkg-r*-'
38.
(c) #tkg-'!s-r
(D)
2a9x?!20
2xl0
t kg -'s
-r
objects blurred.
sees near
objects clearly.
For a short-sighted person, the
image of
a
distant object is iocused
in front of the retina.
Fora long-sighted person, the focal
length ofthe eye is too long forthe
length of the eyeball.
Which of the following methods of heat
transfer occurs as a consequence of a
change in the density of a substance?
(A)
(B)
(C)
(D)
Conduction
Convection
Radiation
Evaporation
GO ON TO THE NEXT PAGE
02r 3801O/CAPE 2015
t239.
The mean kinetic enetgy of the
molecules
in a sample of a monoatomic gas is
8.28 x lC-23 J. What is the temperature of
the gas?
(A)
(B)
(c)
(D)
40.
A gas contains N molecules. The speeds
of the moleculbs are Cr, Cr..., Cn. Which
of the following equations can be used to
determine the root mean squate speed of
the molecules?
2s0
300
3s0
400
K
K
K
K
(A)
. |Cr+Ql:Ct_
--
(B)
(c)
l(c, +c,
+...ci'
1cl + cl +...c'i'z
(D)
41.
(A)
a gas as e function of its mass
Which of the following graphs BEST rcpresents the pressure of
the temperature rcmains constant?
when the gas is purnped into a container of fixed volume and
(c)
E
a
O
O
g
rt
;
E
A
F{
(D) i
B
E
I
42.
lt is hung in the centre of an enclosure
A small black sphere has an absolute temperature'f,'
?i" Th" net rate of gain of thermal energy by
whose walls are at a higher absolute temperature'
the sPhere is ProPortional to
(A)
(B)
(c)
(T,)'
(D)
(T2-T)1
(T,Y
(?ry
- (r,y
02138010/CAPE 20ls
GO ON TO THE NEXT PAGE
-1343.
Item 45 refers to the following graph which
shows the force in newtons, ^E, required for
the extension in millimetres,4 of a material.
Helium gas is kept in a container at a
pressune of 1.7 x l0r Pa. If the density of
helium is 0.92 kg m'', then what is the root
mean square speed of the helium atoms?
^F0{)
(A)
(B)
248 m s'l
(c)
430 m sl
745 m s'l
(D)
330 m s'l
I{mn)
Which of the following graphs correctly
shows the force, F, vs extension, E, for
copper, glass and rubbefl
44.
(A)
45.
According to the graPh, which of the
following statements is/are true?
l.
II.
The graph represents the extension
of a metal.
The graph represents the extension
III.
Plastic deformation is predominant.
(A)
(B)
l only
ofrubber.
(c)
ll only
I and lll only
(D)
Il and III only
END OF TEST
.
IFYOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
02l38010/CAPE 2015
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TEST CODE 02138010
FORM TP 201729.0.
MAY/JUNE 2017
CARIBBEAN EXAMINATIONS COUNCIL
CARIBBEAN ADVANCED PROFICIENCY EXAMINATION®
PHYSICS
Unit 1 - Paper 01
1 hour 30 minutes
(08 JUNE 2017 (a.m.))
READ THE FOLLOWING INSTRUCTIONS CAREFULLY.
This test consists of 45 items. You will have 1 hour and 30 minutes to answer them.
In addition to this test booklet, you should have an answer sheet.
Do not be concerned that the answer sheet provides spaces for more answers than there are
items in this test
Each item in this test has four suggested answers lettered (A), (B), (C), (D). Read each item
you are about to answer and decide which choice is best
On your answer sheet, find the number which corresponds to your item and shade the space
having the same letter as the answer you have chosen Look at the sample item below.
Sample Item
Which of the following lists has one scalar quantity
and one vector quantity?
(A)
(B)
(C)
(D)
Sample Answer
Force, velocity
Mass, temperature
Momentum, pressure
Potential energy, volt
The correct answer to this item is "Momentum, pressure", so (C) has been shaded.
6.
If you want to change your answer, erase it completely before you fill in your new choice.
7.
When you are told to begin, turn the page and work as quickly and as carefully as you can.
If you cannot answer an item, go on to the next one You may return to that item later.
8.
You may do any rough work in this booklet.
9.
Figures are .not necessarily drawn to scale.
10.
You may use a silent, non-programmable calculator to answer items.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
Copyright © 2015 Caribbean Examinations Council
All rights reserved.
LIST OF PHYSICAL CONSTANTS
Universal gravitational constant
=
6.67 x 10" NM2 kg2
Acceleration due to gravity
=
9.81ms 2
=
1.00x105 Nm 2
Boltzmann's constant
=
1.38x10 23 JK'
Density of water
=
1.00x103 kgnr3
1 Atmosphere
atm
Specific heat capacity of water,
C
=
4200 J kg-' K-'
Specific latent heat of fusion of ice
L1
=
3• 34x 105 Jkg'
=
2.26x106 Jkg'
W
Specific latent heat of vaporization of water
1023
Avogadro's constant
N
=
6.02 x
Molar gas constant
R
=
8.31J K-' mol'
=
5.67 x 10-8 W m 2 K"
Stefan—Boltzmann 's constant
per mole
Speed of light in free space (vacuum)
C
=
3.00x108 ms'
Speed of sound in air
C
=
340ms'
Planck's constant
=
6.626x10 34 Js
Triple point temperature
=
273.16 K
I tonne
=
1000 kg
GO ON TO THE NEXT PAGE
02138010/CAPE 2017
1.
A student measures the circumference of
3.-
a circular room of radius 5.00 m using a
metre rule and obtained the result 31.41 m.
Which of the following statements is
correct?
The measured circumference is
(D)
precise and accurate.
The measured circumference is not
precise and not accurate.
The measured circumference is
precise but not accurate
The measured circumference is not
precise but accurate.`
In determining the density of a cube, a
student records the following measurements:
4.
Length of side, 1=3.0±0.1 cm
(A)
V versus r
(B)
V versus
(C)
In V versus In r
(D)
In V versus
m.
The student then uses the equation p =
(D)
5.
r
Inr
A metal case is dropped out of a hovering
helicopter and .plummets 80 m before
hitting the ground. What is its velocity just
before it hits the ground..
(A)
(B)
(C)
Mass of cube, m. = 12.5 ± 0.5 g
to determine the density of the cube. The
percentage error in. the calculated value of
P is
The terminal velocity of a spherical body
falling through a viscous liquid is given by
V= kr", where r is the radius of the sphere,
and k and n are constants. The values of k
and n can be determined by plotting a graph
of
0.0 m
82ms'
28.0 m s'
39.6. m s-'
An object falls freely under gravity, g, from
a height of 12 5 m. Which of the following
equations can be used to determine the
(A)
(B)
(C)
(D)
0.6
7
14
40
time, t, taken for the object
to reach the
ground?
(A)
25
g
(B)
(C)
2s
t=&
25
(D)
g
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0213 8010/CAPE 2017
-4
6.
Avogadro's constant, NA, is numerically
equal to the number of
Item 8 refers to the following scenario.
A swimmer of mass 66 000 g starts from
(A)
(B)
(C)
(D)
atoms in 0.120 kg of carbon-12
atoms in.0.012 kg of carbon-12
molecules in 0.120 kg of carbon-12
molecules in 1.20 kg of carbon-12
rest and accelerates uniformly to the other
end of the pool during a competition. His
force against the water is 90 N.
What is his acceleration?
7.
An object of mass, m, travelling initially
at a velocity, u, is acted upon by a force,
F, for a period, t, until it is travelling with
a - velocity, v. Which of the following
equations can be used to determine the
impulse of the force?
(A)
(B)
(C)
(D)
1.36 m s 2
7.3 ms-2
13.6 ms-2
m s-2
733
II. Impulse=my-mu
Impulse =
(A)
(B)
(C)
(D)
my — mu
t
I .only
II only
I and II only
I and III only
Which of the following pairs of phrases is MOST appropriate for describing elastic and inelastic
collisions?
Elastic Collision
Inelastic Collision
(A)
Kinetic energy NOT conserved
Momentum NOT conserved
(B)
Momentum conserved
Kinetic energy NOT conserved
(C)
Kinetic energy conserved
Kinetic energy conserved
(D)
Momentum conserved
Bodies stick together
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02138010/CAPE 2017
Item 10 refers to the following diagram of a small ball bearing falling from rest in a viscous liquid.
The forces acting on the ball bearing are its weight, W, viscous drag, F, and upthrust, U.
F
10.
U
When terminal velocity is achieved, which of the following conditions is satisfied?
(A)
(B)
(C)
(D)
F+ U> W
F+ U< W
F+U=W
F+U+.W=0.
,Item 11 refers to the following diagram which shows a plank in equilibrium when acted on by the
forces P. T and W.
T
E— y
11.
From the diagram above, which of the following statements are true?
I.
II.
II1.
T+P=W
P(x+y)Wy
Px = Ty
(A)
(B)
(C)
(D)
I and II only
I and III only
II and III only
I, II and III
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0213 8010/CAPE 2017
-6Item 12 refers to the following diagram
which shows a rectangular picture
supported by two strings
12.
13.
If m is the mass of an object and E its kinetic
energy, then its linear momentum is
(A)
m'f
(B)
2-JE
(C)
VmE
(D)
42mE
What is the value of T in the diagram
above?
(A)
(B)
(C)
(D)
200N
300N
600N
1200N
Item 14 refers to the following diagram which represents the track of a roller coaster.
Ground
level
14.
At which point, Q, R, S or T, on the roller coaster track does the cart have maximum kinetic energy
and minimum potential energy?
(A)
(B)
(C)
(D)
Q
R
S
T
GO ON TO THE NEXT PAGE
021380101CAPE2017
-7
to
Which of the following quantities is dimensionless?
15.
•
16.
(A)
(B)
(C)
(D)
Density
Volume
Kinetic energy
Refractive index
Which of the following graphs BEST represents the relationship between total energy, E7, potential
energy, E1 , kinetic energy, EK, and displacement of a particle moving in a straight line with simple
harmonic motion.?
(A)
(C)
Energy
Energy
EK
Displacement
(B)
Displacement
(D)
Energy
Energy
ET
Displacement
17.
Displacement
The displacement of a particle undergoing simple harmonic motion is given by x = 8 sin (0.4 itt
where x is in metres and t in seconds.
The frequency of oscillation of the particle is
(A)
(B)
(C)
(D)
• r4s.
0.2 Hz
0.4 Hz
5.0 Hz
8.0 Hz
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02138010/CAPE 2017
-8
Item 18 refers to the following information.
A system which is made up of a light helical spring to which a small mass is attached, is forced
to oscillate at different frequencies,f, in air. The frequency of the unclamped oscillator lsh The
result is shown in the following diagram
A
I
>
Frequency
18.
If the experiment were carried out in different pressure chambers, which graph reflects the chamber
with the LOWEST pressure?
(A)
V
PC
I
>
fO Frequency
Frequency
(C)
A
(D)A
>
Frequency
10
>
Frequency
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02138010/CAPE 2017
-9Item 19 refers to the following two graphs which display the variation of displacement, with time
and distance respectively, for the motion of a wave.
19.
What is the velocity of the wave?
20.
What is the phase difference between the two points, A and B, on the following graph?
D
(A)
(B)
7it
radians
2
3it
radians
lit
(C)
-y- radians
(U)
3it radians
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02138010/CAPE 2017
-10Item 21 refers to the following diagram which represents the waveform produced when a speaker
is held over one open end of.a pipe of length 85 cm.
1= 85 cm
21.
If the speed of sound is 340 m s, what is the waveform's fundamental frequency?
(A)
(B)
(C)
(D)
22.
In a double slit experiment using a
monochromatic light source of wavelength
400 nm, the distance between the bright
fringes is found to be 8.0 mm If the screen
is 5.0 m from the double slit, what is the
slit separation?
(A)
(B)
(C)
(D)
23.
35 Hz
70 Hz
140 Hz
200 Hz
1.0x10 5 m
2.5x10 4 m
1.0x10 3 m
2.5x10 2 m
24.
Which of the following statements concerning sound and light waves is correct?
(A)
(B)
(C)
(D)
Both sound and light waves in air
are longitudinal.
Both sound and light waves in air
are transverse.
Sound waves in air are longitudinal
and light waves are transverse.
Sound waves in air are transverse
and light waves are longitudinal.
The intensity of sound is directly proportional to the
(A)
(B)
(C)
(D)
amplitude of the oscillation
wavelength of the oscillation
square of the wavelength of the
oscillation
square of the amplitude of the
oscillation
GO ON TO THE NEXT PAGE
02138010/CAPE 2017
After investigating the refraction of water waves in a ripple tank, a student draws the following
conclusions:
25.
II.
III.
When refraction occurs, the wavelength of the waves changes.
When the waves are incident along the normal, a change of frequency occurs
Refraction is caused by a change in the speed of the waves
Which of the conclusions above are correct?
(A)
(B)
(C)
(D)
I and II only
I and 111 only
II and III only
I, II and III
Item 26 refers to the following diagram.
Object
2F
I
F
F
2F
f
MW
AN
18 cm
26.
An object is placed 18 cm in front of a convex lens of focal length 12 cm. The position of the
image formed is at
(A)
(B)
(C)
(D)
27.
12 cm
W
X
Y
Z
At what angle does the second order
constructive interference occur for red light
of wavelength 700 nm through a diffraction
grating that has 600 lines per mm?
(A)
12°
390
(B)
570
(C),
(D) 900
28.
Which of the following eye defects can be
corrected by a cylindrical lens?
(A)
(B)
(C)
(D)
Cataract
Astigmatism
Short-sightedness
Long-sightedness
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02138010/CAPE 2017
- 1212 29.
How much intensity change in dB will take
place with an increase in intensity from
I mWm 2 to 100 MW m2?
(A)
(B)
(C)
(D)
30.
32.
x —x
(A)
(B)
(C)
(D)
34.
Which of the following instruments is
MOST suitable for measuring a rapidly
changing temperature.?
Thermocouple
Resistance thermometer
Alcohol-in-glass thermometer
Mercury-in-glass thermometer
The triple point of water is chosen as the
upper fixed point on the thermodynamic
scale of temperature rather than the melting
point of ice because
(A)
(B)
(C)
(D)
the thermodynamic scale is not an
empirical scale
it makes the scale more linear for
gas thermometers
the melting point of ice varies with
the type of thermometer used to
measure it
it is precisely reproducible as it has
only one possible temperature
and pressure
0
xlOO°C,
where x is a physical property that
varies with temperature..Which of the
following properties does x represent for
a thermocouple9
Accommodation, in the human eye refers
to the
(A)
(B)
(C)
(D)
Temperatures on the empirical centigrade
scale are determined by the formula
X100
2O
3. dB,
20 dB
30dB
adjustment of the lens to focus
on objects according to their
distance
changing of the shape of the eye so
that the image fits on the retina
dilation of the pupil to allow more
light to enter the eye
use of lenses to correct defects in
vision
31.
33.
An uncalibrated mercury-in-glass
thermometer when placed in a cup of water
indicates the top of the mercury stem to
be 14 cm above the bulb On placing the
thermometer in pure melting ice, the height
is 4 cm and in steam above pure boiling
water, the height. is 28 cm What is the
temperature of the water in the cup9
(A)
(B)
(C)
(D)
35.
Electromotive force (emf)
Internal resistance
Volume
Length
35.7°C
41.7°C
50.0°C
58.3 °C
Water falls from a height of 500 m. What
is the rise in temperature of the water at the
bottom, if all the energy gained is converted
to internal energy in the water?
(A)
(B)
(C)
(D)
0.19 K
0.24 K
0.49 K
1.17 K
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02138010/CAPE 2017
- 13
3--
36.
Item 37 refers to a composite conductor
with materials of thermal conductivities,
k, k/2, k/3, which has insulated sides. Heat
Js transferred through the conductor from
left to right as shown in the diagram below.
Each material has the same thickness.
Which of the following statements
are true about the process of thermal conduction in metals?
1.
II
III
Electrons play a major role in the
conduction process
Adding moisture to an object
increases its rate of thermal
conduction
Two objects need to be in contact
for conduction to take place
between them
I and II only
land III only
II and III only
I, II and III
*- Insulation
t2
t3
t4
/ti
k
Qk/2
A .4- X .
X ..... .. X ...-.
37.
-Insulation
Which of the following graphs BEST
descnbes the temperature gradient of the
composite wall?
(A)
A
A
ti
(C)
t2
t3
t4
--x -
-ø_F.-x
A
(D) ti
t3
t4.__ -.-x 4.LX4X -61
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02138010/CAPE 2017
- 1414 38.
The rate of energy radiated by a perfectly
black body is proportional to
(A)
(B)
(C)
(D)
39.
its celsius temperature
its kelvin temperature
the square of its kelvin temperature
the fourth power of its kelvin
temperature
40.
Four different liquids are poured into
identical measuring cylinders. Which of
the following diagrams shows the liquid
that exerts the GREATEST pressure on
the base of its measuring cylinder?
A)
The mean kinetic energy of the molecules
in a sample of a monoatomic gas is
8.28 x 10-21 J What is the temperature of
the gas?
(A)
(B)
(C),
(D)
250K
300K
350K
400 K
2gcm 3
10 CM
(B)
1.6gcm 3
20 cm
1.2gcm 3
(C)
30cm
0.7gcm 3
(D)
40 cm
GO ON TO THE NEXT PAGE
02138010/CAPE 2017
- 15
5-Item 41 refers to the following P—V
Item
graph for a gas undergoing a cycle
Q R—+S--+T--+Q
43.
(x 10)
P(Pa)
Helium gas is kept in a container at a
pressure of 1 7 x 105 Pa If the density of
helium is 092 kg m , what is the root mean
square speed of the helium atoms?
(A)
(B)
(C)
(D)
A
248 m s'
.330M S-'
430ms'
745 m s
1.6
44.
0.8
Which of the following graphs correctly
shows the force, F, vs extension, E, for
copper, glass and rubber?
(A)
1.4
41.
2.0
In which section of the cycle is no work
being done on the gas?
(A)
(B)
(C)
(D)
42.
1.6
Q--+R
R
S
T—Q
A small black sphere has an absolute
temperature, T1 It is hung in the centre of
an enclosure whose walls are at a higher
absolute temperature, T2 The net rate of
gain of thermal energy by the sphere is
proportional to
(A)
(B)
(C)
(D)
(T1 )4
(T2)4
(T2)4 —(T1 )4
(7;—T1 )4
(C)
F(N)
E(mm)
(D)
Glass
Copper
Rubber
E(mm)
Fc.
GO ON TO THE NEXT PAGE
02138010/CAPE 2017
- 1645.
The first law of thermodynamics is sometimes expressed as L\Q = AU + AW.
Which of the following statements is correct?
(A)
(B)
(C)
(D)
W represents work done by the system.
AW represents the work done on the system
AU represents heat energy added to the system
AQ represents internal energy removed from the system.
END OF TEST
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
021 IR01fl/CADP "nil
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