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CANDIDA TE'-PLEASENOTE!::C</ ·•· •
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
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-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
Density of water
=
1.00 x 103 kg m· 3
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 X 10-S W m· 2 K- 4
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
kg
23
J K- 1
.. -·
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)
k' •
(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?
v2
r
a=-
I I.
a= r'm
(A)
(B)
Ill.
.a=vm
(C)
(D)
(A)
(B)
I, II and Ill
I and II only
I and III only
II and III only
(D)
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
I.
(C)
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)
(C)
(D)
7.
m
rm
{B)
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)
v
I
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
11.
(A)
(B)
. (C)
Fd
Fx
(D)
2Fx
2Fd
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
Which graph below represents measurements
of poor accuracy but high precision?
v
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)
7t
7t/4 r
d
(C)
3.1..n rd
(D)
1112 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
(A)
(B)
Y>A
2A
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.
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)
31.
XT is a temperature measuring quantity of
a substance. X and X, 00
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)
gig
(D)
g'/g
lll.
(A)
(B)
(C)
(D)
XT
0
XT
0
XT
ex
(C)
Which of the following statements are
TRUE about resonance?
II.
0
(B)
g'
(C)
I.
XT
ex
(B)
30.
0
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.
ex
(D)
I and II only
I, II and Ill
I and Ill only
II and III only
'
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)
33.
P=cr AT I4
P =cr AT'
2
P = cr A (T, -T,)4
P=cr A(Ti'-T24)
37.
What is the unit of heat capacity?
(A) • Jkg· 1 K· 1
(B)
J kg·'
(C)
J K·'
.J
(D)
34.
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)
(D)
35.
217kJ
245kJ
273kJ
347kJ
Which of the following options has the
materials CORRECTLY categorized?
36.
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.
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
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 K
386 K
597 K
870 K
(A)
(B)
(C)
(D)
41.
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
IV
p
e/mm
v
FIN
0
e/mm
(C)
FIN
R
(D)
v
v
e/mm
FIN
S
e/mm
n\C'l!bove P-V diagrams represent ideal gas
cycles. Which pair of diagrams corresponds
to NET work being done by the gas?
(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
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
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.
I
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021380 I O/C2007