TEST CODE 02138020
FORM TP 2024318
CARIBBEAN
MAY/JUNE 2024
EXAMINA TIONS
COUNCIL
CARIBBEAN ADVANCED PROFICIENCY EXAMINATION®
PHYSICS
UNIT
-Paper 02
1
2 hours 30minutes
403
READ THE FOLLOWING INSTRUCTIONS CAREFULLY.
1.
2.
This paper consists of THREE
Write your answers
in
questions.
AnswerALL questions.
the spaces provided in this booklet.
3.
Do NOT write in the margins.
4.
Where appropriate, ALL WORKING MUST BE SHOWN in this booklet.
5.
You may use a silent, non-programmable calculator to answer questions, but you
should note that the use of an inappropriate number of figures in answers will be
penalized.
6.
If
you need
to
rewrite any answer and there
originalpage, you must use the extra lined
space
to
do so on the
of this
Remember to draw a line through your original answer.
A002
booklet.
is not enough
page(s) provided at the back
7.
If you use the extra page(s), you
MUST write the question number clearly in
the box provided atthe top of the extra page(s) and,where relevant, include the
question part beside the answer.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
Copyright©2023Caribbean Examinations
All rights
02138020/MI/CAPE 2024
Council
reserved.
L
-4
G
Universal gravitational constant
=
LIST OF PHYSICAL CONSTANTS
6.67 x 10-!! N m? kg?
9.81 ms-2
Acceleration
due to gravity
atm
Atmosphere
=
1.00 x
105
N
m2
1
1.38 x 10-23 J K-l
Boltzmann's constant
Density
Specific heat capacity
1.00
Pw
of water
Specific latent heat of fusion
4200 J kg-' K-!
Cw
of water
of ice
x 10³kg m3
3.34 x 105 J kgl
Lf
L,
2.26 x 10 J kg1
Avogadro'sconstant
NA
6.02 x 1023 per mole
Molar gas constant
R
8.31
Specific latent heat of vaporization
ofwater
AREA
Stefan-Boltzmann's
constant
J
K
mo-!
5.67 x 10-%
WmK4
m
Speed of light in free space (vacuum)
C
3.00 x
Speed of sound in air
C
340 m s-!
Planck's constant
h
6.626 x 10-34
IN
s-!
WRITE
10
THIS
NoT
Triple point temperature
tonne
1
Tr
=
J
s
DO
273.16 K
1000kg
AREA
THS
WRITE
BN
NOT
DO
02138020/MJ/CAPE 2024
GO ON TO THE NEXT PAGE
J
-6
Answer ALL questions.
AREA
1.
(a)
Define
(i)
EACH of the following terms.
THIS
Displacement
IN
WRITE
NOT
DO
[2 marks]
(ii)
Acceleration
AREA
THIS
[lmark]
N
(b)
A rocket balloon
is released
into the air on a calm day. Its speed in
m s was noted at
one-second intervals after release and the results were recorded in Table 1.
WRITE
TABLE 1: VELOCITY-TIME DATA FOR ROCKET BALLOON
NOT
Time, ts
0
v/m s
Velocity,
DO
0
1
2
11
3
13
4
14
5
AREA
AREA
13
THIS
THIS
6
11
7
IN
IN
On the axes provided in
Figure 1 on page 7,plot a
represent the motionof
the
02138020/MJ/CAPE 2024
rocket balloon.
graph
of
velocity, v, versus
Draw the best smooth curve
time,
,
through the points.
[3 marks]
NOT
DO
NOTWRITE
WRITE
8
po
-7
sl
Velocity,
v/m
Time,t/s
Figure 1. Graph of velocity,
v, versus time, t
J
-8 -
(c)
From the graph in (b)on page 7,determine
(i)
the instantaneousacceleration
of
the balloon after 1.5 s
[4 marks]
(ii)
the total distancetravelled
by the balloon.
|1 mark]
L
-9
(d)
During a football match, the striker kicks the
football at an angle
V, of 30.0m s as shown in
Figure 2.
,
= 25°, witha velocity,
Figure 2. Motion of kicked football
Ignoring air resistance and the rotation of the ball and
assuming that the ball
foot at ground level, calculate
()
leaves the
the verticalcomponent of the ball's
velocity
|3 marks]
(ii)
the horizontal
component of the ball's velocity
3marks]
02138020/MI/CAPE 2024
GO ON TO THE NEXT PAGE
J
- 10 -
the time,1, for the football
to reach the maximum
height,
H
DONOT
HRIIE
NTHLSAREA
(ii)
[3 marks]
height reached by the football.
AREA
THIS
WRITEIN
the maximum
[3 marks]
NOT
DO
AREA
THIS
IN
WRITE
(iv)
NOT
DO
J
-11-
(e)
Find the equation of the trajectory,
football
y
as a functionof x, to show that the motion of the
is parabolic.
[7 marks]
Total 30 marks
-
Define EACH of the followingterms.
(i)
Depth of focus
AREA
7HIS
IN
WRITE
(a)
J
|2marks]
(i)
NT
DO
Accommodation
AREA
[2 marks]
THIS
(ii)
Astigmatism
IN
WRITE
NOT
DO
|2 marks]
THISAREA
2.
12
IN
WRITE
0T
J
- 13
(b)
Short-sightedness
Use annotated
is an eye defect
that affects many people.
optical sketches to explain
defect can be corrected.
how short-sightedness
occurs
AND how the
(5marks]
- 14 -
(c)
a studentmeasures
of a converging lens,
the focal length
determine
to
the graph
In an experiment
image distances, v. She plots
corresponding
u,
and
a series of object distances,
in Figure 3.
of uv against u v as shown
+
AREA
THIS
uvem²
800
IN
RITE
600
NOT
Do
400
200
10
20
30
50
40
(u
Figure 3. Graph of uv againstu
(i)
+v)lcm
+y
Show that the gradient of the graph in Figure 3 is equal to the
focal length,f,of
the converging lens.
AREA
N
[3 marks]
rwer
- 15 (ii)
From the graph in Figure 3,
determinea value for the focal
lens the
length
student used in the
of
the converging
experiment.
[2 marks]
(ii)
Determine the power of the converging lens
used in the experiment.
[2 marks]
(d)
(i)
State, in words, Snell's law.
[2 marks]
(ii)
Explain how total internal reflection occurs.
[2 marks]
- 16 -
A film of liquid separates the lower face of a glass cube resting on a horizontal surface
as shown in Figure 4. The refractive index of theglass is 1.50. A ray of light strikes the
vertical face of the cube (as shown) at an angle of incidence
i
48°. The ray of light
undergoes reftraction at the vertical air'glass boundary such that it strikes the horizontal
=
glass/liquid interface at the critical
AREA
angle.
THEs
WRITIN
Glass cube
NOr
Do
Film of liquid
Figure 4. Glass cube resting on film of liquid
(i)
AREA
Calculate the critical angleatthe glass/liquid interface.
THIS
IN
WRITE
(e)
NoT
DO
|3marks]
(ii)
Calculate
the angle of emergence of the ray from the cube.
AREA
THIS
IN
WRITE
|1 mark]
NOT
Do
L
- 17
()
A teenageruses only the right earphone of
device.
his headsetto listen to music
from his mobile
Describe a simple experiment he
can perform to determine if the
frequency response of
his right ear is
different from that of his
left ear:.
[4 marks]
Total 30 marks
J
-
Write the equation
ofEACH symbol.
TnSAREA
(a)
stating the meaning
of statefor an ideal gas,
IN
DoNOTHRIE
3.
18
[3 marks]
(b)
6 mm² is used to explore the relationship
between
pressure.
the volume and temperature of a fixed mass of an ideal gas at constant
Table2
A glass tube of cross-sectional
area
shows the results of the experiment.
TABLE 2: TEMPERATURE AND VOLUME OF FIXED MASS OF IDEAL GAS
Temperature, t/°C
Length of gas column, L/mm
-35
85
-3
95
27
105
57
115
87
125
(i)
(ii)
Volume of gas, V/mm³
Complete Column 3 of Table 2.
[1mark]
On the grid provided in Figure 5 on page 19, plot a
graph of volume of gas, V,
Use scales which range between -325
to +100 °C on
the temperatureaxis AND between 0
mm³ and 1000 mm³ on the volume axis.
versus temperature, t.
°C
14 marksl
(ii)
From the graph in (b) (ii), determine the
temperature at which the volume is
0 mm².
[2 marks]
-
19
t.
Figure 5.Graph of volume of gas, V, versus temperature,
- 20
(iv)
State whether
it
is
cooled sufficiently.
a state of zero volume
possible to achieve
Justify
your
for the gas if it is
response.
[2 marks]
(v)
in this experiment.
State the gas law which explains the observations
[2 marks]
(c)
The first law
of
thermodynamics
is given by
the equation
AU=Q+ W.
Explain the meaning of EACH of the symbols used in the equation above when the law
is applied to the heating of a fixed mass of gas.
(3 marks]
L
-
(d)
One mole of an ideal
by States
Ito
21 -
monoatomic gas,
4 as shown in Figure 6. At
On the graph, the vertical scale is set by
V= 0.0225 m².
3
=R,
C..
is
p= l.01
taken through the
cycle
=273 K and at State 3,T,repres
=1092 K.
State 1. T,
x 10$
Nm² and the horizontal scale by
Pressure
2P
P
4
2V
Volume
Figure 6. Cycle ofa monatomic gas
(i)
Calculate the work done during the cycle.
[2 marks]
(ii)
Calculate the temperature, T, at State 2.
[3 marks|
-22 -
()
Calculate the energy added
as heat during the process from State
l to
State 2,
[4 marks]
(iv)
Derive an expression for C, forthe gas in
terms ofR.
AREA
[2 marksl
THIS
IN
RITE
- 23 -
(v)
State
TWO reasons why the cvcle
in Figure
6 is NOT 100% efficient.
[2 marks]
Total 30 marks
END OF TEST
F
YOURINISHBEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEsT