# CAPE Physics 2017 U1 P1 ```TEST CODE 02138010
FORM TP 201729.0.
MAY/JUNE 2017
CARIBBEAN EXAMINATIONS COUNCIL
PHYSICS
Unit 1 - Paper 01
1 hour 30 minutes
(08 JUNE 2017 (a.m.))
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
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)
Force, velocity
Mass, temperature
Momentum, pressure
Potential energy, volt
The correct answer to this item is &quot;Momentum, pressure&quot;, 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 &copy; 2015 Caribbean Examinations Council
LIST OF PHYSICAL CONSTANTS
Universal gravitational constant
=
6.67 x 10&quot; 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
N
=
6.02 x
Molar gas constant
R
=
8.31J K-' mol'
=
5.67 x 10-8 W m 2 K&quot;
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
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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&plusmn;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 &plusmn; 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&quot;, 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=&amp;
25
(D)
g
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0213 8010/CAPE 2017
-4
6.
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&gt; W
F+ U&lt; 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
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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
&gt;
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
&gt;
fO Frequency
Frequency
(C)
A
(D)A
&gt;
Frequency
10
&gt;
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
2
3it
lit
(C)
(U)
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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
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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&deg;
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&deg;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)
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&deg;C
41.7&deg;C
50.0&deg;C
58.3 &deg;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
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 -
-&oslash;_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
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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.
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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.