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
-
------·--.
-~------ ·--------~~--~---~·~~-
------~~-~-...------- ~----
··-------- ----9·-------- ____,_____ ---- ----·
~--·-
·------- -·
-,
•~·••
.,, •
--'
•·•·
'·••••·---~---.-----·
_
••• _ , . •••••
~--- ~--_....,,
.<
•·. ,., •• · - • -·-•··•
••· • ' ' ' •
··--·~--
••-
-
'• - -
'v-,
I
.... ....
._
~ --·--····~--··-··- ...... ·~
·-·..-...----....
-.•.......... ...._~............-.................~·-.. ........
--.
_
_._._ -~~-·-
··--·-·- ·-·-
...... ~
... :~-- ...... - ...-..........-.-~.,. -~·-·
--
- .. ~~_,... ..... --,~ ·-· .......... __........~
..·-·· ......... ....... -.-
···-~
........, .........~-._..,.. _...... .-....... _._ ....
-.........-_. ..... ._........
... -.... _.......
.
-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.
amplitude ofthe oscilh1tion
wavelength of the oscillation
square of the wavelength of the
oscillation
square of the amplitude of the
oscillation
(C)
(D)
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)
25.
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
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••.·,
,.,_,,.,,,, ,,, •• .., .. , , .. ,., ..... ~..... , ................
-..-,·~-·· •
,,._.,~.- • .....,,- ..
...,_,.., '""''
.., .. ,-.,~,,.,.
• o _ _ _ _ , . . , , ... ,
•··~·-
'o ......
••"'•W••• ' ' • - ,,...,. .... •
,, '
!•
-·•·•-
•
'
•• ·'•
•O'
. ~
--· ~ ......~ .. ~~---~---· .-.-- --~·~ ·-·--· ..,........ .-....~.... ~~--·
~~._, . .,.
-~···~ • .,._..,.,._,_ •. _
_..
-.-.-.-.. • ..._.._,~~···
.
.-.•.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
··-"-·. · - . -
. . . . . _.~·-· · - ·