G
FORM TP 2024321
CARIBBEAN
TEST CODE 02238020
MAY/JUNE 2024
EXAMINATIONS
COUNCIL
CARIBBEAN ADVANCED PROFICIENCY EXAMINATION®
PHYSICS
UNIT 2 -Paper 02
2 hours 30 minutes
212
READTHE FOLLOWING INSTRUCTIONS CAREFULLY.
This paper consists of THREE questions. Answer ALL questions.
2.
Write your answersin the spaces provided in this booklet.
3.
Do NOT write in the margins.
4
5
Where appropriate, ALL WORKING MUST BE SHOWN in this booklet.
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 vou need to rewrite any answer and there is not enough space to do so on the
original page, you
booklet.
must use the extra lined
page(s) provided
at the back
of this
Remember to draw a line through your original answer.
A002
7.
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.
If you use the extra
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO S0.
Copyright
© 2023 Caribbean Examinations
Council
All rights reserved.
L
02238020/MJ/CAPE 2024
L
-4LIST OF PHYSICAL CONSTANTS
C
=
3.00 x 10
=
47 X 10-7 Hml
=
8.85 x
msl
Speed of light in free space
Permeability
of free space
Permittivity
of free space
1
Elementary charge
e
atomic mass constant
x 1031 kg
1.67 x 10-27 kg
due to gravity
Avogadro's constant
1.60 x 10-19 C
9.11
Rest mass of proton
Atmosphere
F
931 MeV/c?
Rest mass of electron
1
m
1.66 x 10-7kg (931l MeV)
Energy equivalence
Acceleration
10
6.63 x 10-34 J s
Planck's constant
Unified
9.0 x
10-12 F m-!
9.81
ms2
atm
1.00 x 105
NA
6.02 x 102 per mole
N m2
-5 -
Answer ALL questions.
1.
(a)
Define the term 'magneticflux density'.
[2 marksl
(b)
(i)
Draw
a fully
labelled diagram to
illustrate
a straight conductorof length L carrying
of the force, F, acting on
a current, I, at an angle, 0, to a uniform
the direction
magnetic field of fiux density, B.
[6 marks]
(i)
Write the expression
for the force, F, experienced
per unit length ofthe conductor
in terms of B, I, L and 0.
[2 marks]
GO ON TO THE NEXT PAGE
02238020/MJ/CAPE 2024
-6
a
current of
nlong wire carries
of feld strength, 2.0
magnetic field
A3.5
(ii)
m
making
7.5 A,
with
a
uniform
mT.
of the magneticforce
experienced by the wire,
DONOr
HRIIEIN
THISAREA
Calculate the magnitude
an angle of30°
212
3marks]
(c)
Figure
1
shows a section ofa current-carrying conductor of uniform cross-section.
On Figure
field
around the conductor in the plane
INSWHW
1, sketch the pattern of the magnetic
normal to the axis of the conductor.
WRTE
NoT
Plane
AREAHIpo
A002
THIS
IN
WEITE
Current-carrying conductor
Figure 1, Section
of a
current-carrying
NOT
conductor
(2marks]
02238020/MJ/CAPE 2024
GO ON TO THE NEXT PAGE
DO
-7
(d)
An electron travels at 2.5 x 10'm s
in
a plane perpendicular
to a uniform
10 mT magnetic
field.
(i)
Determine an expression
for the magnitude of the force acting
on the electron.
|3 marks]
(i)
The electron will travel in a circular path. Determine an expression
of this path.
for the radius
|3marks]
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(iii)
Calculate
the radius of the path.
[2marks]
GO ON TOTHE NEXT PAGE
02238020/MJ/CAPE 2024
(i)
State Lenz's law.
THLSAREA
THISAREA
N
IN
with a bar magnet, a galvanometer and
a solenoid.
NOT
DO
DONOT
Youare provided
WRITE
THISAREA
Describea simpleexperimentthat can be performed to demonstrate Lenz's law
WRITE
IN
NOT
DONOTWRITEIN
DO
THIS
THISAREA
N
WRITE
(ii)
WIRIIE
[2 marks|
WRITEIN
(e)
5marks]
Total 30 marks
NOT
O
DO
- 10-
2.
(a)
Draw the symbol and the truth table for EACH of the following
(i)
two-input
logic gates.
NAND
aREAnONar
212
[3 marks]
(ii)
OR
THIN
IN
WRITE
NOT
DO
A002
AREA
THIS
IN
[3 marks]
WRITE
poNOT
02238020/MJ/CAPE 2024
GO ON TO THE NEXT PAGE
L
-
EXNOR
THISAKEA
(iii)
11 -
WRITE
IN
NOT
DO
212
THIS
AREA
[4 marks]
NONOTWKTEFA
NTAIS
A002
DONOLEE
WRITE
IN
GO
02238020/MJ/CAPE 2024
ON TO THE NEXT PAGE
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- 12 -
(b)
Figure 2 shows a logic circuit with three binary
inputs, A,
B and C.
A
D
B
Figure 2: Logiccircuit with binary inputs,A,B and C
Table 1 is a truth table for the logic circuit in Figure 2 which shows combinations of the
inputs, A,
binary
B andC. Complete Table
1
by deducing the corresponding values of C",
D, E and F.
TABLE 1: TRUTH TABLE WITH BINARY INPUTS, A, B, C
A
B
0
C
C!
D
E
F
0
1
0
0
1
0
1
1
0
1
1
1
1
[8 marks]
- 13
(c)
Figure 3 is a timing diagram which shows the input waveforms
to the circuit in
Figure 2.
A
B
Figure 3. Timing diagram for logic circuit in Figure 2
Use your truth table in (b) to determine and sketch the resulting outputwaveform on the
grid provided in Figure 3. On your sketch, include the binary equivalent of the output
waveform.
[5marks]
- 14 -
(d)
Draw a circuit
containing
NAND gates only equivalent to that shown in Figure 2.
A002
212
[7 marks]
Total
02238020/MJ/CAPE 2024
L
30 marks
GO ON TO THE NEXT PAGE
- 15 -
3.
Figure
4 showsa simplifed version of the apparatus used in R.A. Millikan's famous experiment.
AREA
THIS
IN
WRITE
A
D
Test droplet
NOT
E
B
DO
F
212
Figure 4. Apparatus used in R. A. Millikan's
AREA
(a)
Identify
experiment
EACH of the components labelled A-F.
THIS
IN
A
KRITE
B
DONOT
D
E
F
[6 marks]
DONOKITELNSAREADU
A002
GO ON TO THE NEXT PAGE
02238020/MJ/CAPE 2024
- 16 -
(b)
It
experiment, the charge Q, in Coulombs, on the test
and the voltage V, in Volts, of the supply are related by the equation
can be shown that for Millikan's
droplet
where K is a constant derived from the properties
of the droplet.
Table 2 shows results derived from a simulatedexperiment in which the charge on different
droplets
and the correspondingbalance voltages were obtained.
TABLE 2: RESULTS OF EXPERIMENT
(i)
(ii)
QIC(* 10-19)
VIV (x 10')
4.80
5.01
8.00
4.17
11.2
2.14
17.6
1.48
22.4
1.07
32.0
0.83
/V(10)
x
Complete Column 3 of Table 2.
[2 marks]
On the grid provided in Figure 5 on page 17,
plot a graph of charge, 0,
versus
Draw the line of best fit through the points.
[4 marks]
(ii)
Use the graph in (b) (ii) to determine a value
for the constant,
K.
[4 marks]
- 17
RERERERRRREEER
DONOTWRIITE
TANRRE
ARE
212
A002
PONOTHRIGEIIIEHS:A
R
Figure 5. Graph
of
charge,
,
versus
GO ON TO THE NEXT PAGE
- 18 -
(c)
(i)
between the electrical force on
Write the equation expressing the equilibrium
E, and the gravitational force on a droplet of
acharge, Q, in a field of strength,
mass, m.
[1mark]
(ii)
Write the equation
voltage,
relating the magnitude of the electric field, E, to the
impressed
V, and plate separation, d.
[1mark]
(ii)
Assuming that the droplets
write the equation
expressing
with radius r and density p,
the mass, m, of the droplets in terms of the radius
are perfectly
spherical
and density.
[1mark
(d)
(i)
Show that Q is given by the equation
by substituting the equations
in (c)(i) and (ii) into the equation stated in
(c) ().
[2 marks]
J
- 19
(ii)
Hence, deduce an expressionfor K.
[1mark]
(iii)
Given the experimental data
magnitude of K.
in the following table, determine a value for the
Symbol
d
Value
Quantity
6 mm
Plate separation
Radius of typical droplet
of droplet
1.2 x
m
10 kg m3
AO02
Density
2x 10
3marks]
J
- 20 -
(e)
in the presence of
The original Millikan experiment was performed
buoyancy force on the
(i)
a
air which exerted
droplet.
State the direction
of the buoyancy force.
|lmark]
(ii)
Calculate
1.3
kg
the
m.
magnitude of the buoyancy
force
given that the density
of air is
A002
14 marks]
Total 30 marks
END OF TEST
IF YOU FINISH BEFORETIME IS
CALLED, CHECK YOUR
WORKON THIS TEST.