H
NANYANG JUNIOR COLLEGE
JC 2 PRELIMINARY EXAMINATION
Higher 2
PHYSICS
9745/01
28 September 2009
Paper 1 Multiple Choice
1 hour 15 minutes
Additional Materials:
Multiple Choice Answer Sheet
READ THESE INSTRUCTIONS FIRST
Write in soft pencil.
Do not use staples, paper clips, highlighters, glue or correction fluid.
Write your name, class and tutor’s name on the Answer Sheet in the spaces provided unless this has been
done for you.
There are forty questions on this paper. Answer all questions. For each question there are four possible
answers A, B, C and D.
Choose the one you consider correct and record you choice in soft pencil on the separate Answer Sheet.
Read the instructions on the Answer Sheet very carefully.
Each correct answer will score one mark. A mark will not be deducted for a wrong answer.
Any rough working should be done in this booklet.
This document consists of 15 printed pages.
[Turn over
H2 Physics Papers, Notes at alevelphysics.co
2
DATA AND FORMULAE
Data
8
–1
speed of light in free space
c
=
3.00 x 10 m s
permeability of free space
µo
=
4π x 10 H m
permittivity of free space
εo
=
8.85 x 10
–7
–1
–12
–1
Fm
–9
–1
(1/(36π)) x 10 F m
e
elementary charge
h
the Planck constant
u
unified atomic mass constant
me
rest mass of electron
mp
rest mass of proton
=
=
=
=
=
–19
1.60 x 10
C
–34
6.63 x 10
Js
–27
1.66 x 10
kg
–31
9.11 x 10
kg
–27
1.67 x 10
–1
kg
–1
R
=
8.31 J K mol
NA
=
6.02 x 10 mol
the Boltzmann constant
k
=
1.38 x 10
gravitational constant
G
=
6.67 x 10
acceleration of free fall
g
=
9.81 m s
s
=
ut + ½ at
2
=
u + 2as
W
=
pΔV
hydrostatic pressure
p
=
ρgh
gravitational potential
φ
=
–Gm/r
displacement of particle in s.h.m.
x
=
xosin ωt
velocity of particle in s.h.m.
v
=
vocos ωt
=
± ω (xo − x 2 )
R
=
R1 + R2 + ....
1/R
=
1/R1 + 1/R2 + ....
electric potential
V
=
Q/4πεor
alternating current/voltage
x
=
xo sin ωt
transmission coefficient
T
=
exp(–2kd)
where k
=
radioactive decay
x
=
xo exp(–λt)
decay constant
λ
=
0.693
t 1/ 2
molar gas constant
the Avogadro constant
23
–1
–23
–1
JK
–11
2
–2
N m kg
–2
Formulae
uniformly accelerated motion
v
work done on/by a gas
resistors in series
resistors in parallel
NYJC 2009
2
2
2
8π 2 m(U − E )
h2
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3
Answer ALL questions.
1
In physics, thermal conductivity, k, is the property of a material that indicates its
ability to conduct heat. Rate of heat flow of heat energy, dQ , can be found
dt
(T
T
)
dQ
2
1
using the equation
where k is the thermal conductivity, A is
=kA
dt
L
the total cross sectional area of conducting surface, T2 – T1 is temperature
difference across the surface, and L is the thickness of conducting surface
separating the 2 temperatures.
What is the SI unit for thermal conductivity?
2
A
W m-1 K-1
B
W m-2 K-2
C
W m-3 K-1
D
J m-2 K-1
The velocity of a liquid in a pipe can be calculated by measuring the force on a
small disc placed in the centre of the pipe with its plane perpendicular to the
flow. The equation relating the force to the velocity is
force = constant x (velocity)2
.
If the velocity is to be found with a maximum uncertainty of 1%, what is the
maximum permissible uncertainty in measuring the force?
3
A
0.25%
B
0.5%
C
1%
D
2%
A boy holding a ball is standing on the floor of a lift. The lift starts to accelerate
from rest at 6.5 m s-2 upwards. After 2.0 s, he releases the ball at 1.4 m away
from the floor of the lift. At the same time, the lift stops accelerating and moves
at a constant speed. Find the time taken for the ball to reach the floor of the lift.
A
NYJC 2009
0.53 s
B
0.92 s
C
2.5 s
D
2.8 s
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H2 Physics Papers, Notes at alevelphysics.co
4
4
An archer is firing an arrow towards a target, at a distance of 40 m away from
him. He fires horizontally, and the arrow hits a point 10.0 mm below point X. If
the bull’s eye is located 5.0 mm below point X, how far away from him should
the target be placed such that the arrow will hit the bull’s eye? Assume that he
fires with the same velocity and that air resistance can be neglected.
X
10 mm
point of impact
40 m
A
5
10 m
B
C
20 m
D
25 m
28 m
A man is parachuting at terminal speed towards the surface of the Earth. The
force which, according to Newton’s third law, makes an action-reaction pair with
the downward force on the man is
A the tension in the harness of the parachute.
B the viscous force of the man and his parachute on the air.
C the gravitational force on the Earth due to the man .
D the viscous force of the air on the man and his parachute.
6
A stationary thoron nucleus (A = 220, Z =90) emits an α particle with kinetic
energy Eα. Which is the kinetic energy of the recoiling nucleus?
A
7
Eα /108
B
C
Eα /110
D
Eα /54
Eα /55
A 100 g block of width 8.0 cm and height 20.0 cm rests on a rough inclined
plane. The centre of gravity of the block is located 8.0 cm above its base at the
centre of its cross-section. The angle of inclination of the plane is gradually
increased until the block topples.
8.0 cm
block
20.0 cm
8.0 cm
rough plane
Calculate the angle of inclination at which this occurs.
A
NYJC 2009
22o
B
27o
C
30o
D
45o
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H2 Physics Papers, Notes at alevelphysics.co
5
8
A mass is attached to two springs as shown (not drawn to scale). The springs
A and B have spring constants k and 3k respectively. Forces are applied to the
springs such that the free end of A is displaced x to the left and that of B is
displaced y to the right, but there is no change in the displacement of the mass.
mass
spring A
x
spring B
k
y
smooth horizontal
plane
3k
Which of the following is equal to y?
A
9
D
3/2 x
3x
½ mv2
B
C
mgv
mgvsinθ
D
mgv2 sin2 θ
Calculate the total work done by a person when he carries a load of 2 kg and
walked for 20 m, then raises it by a vertical distance of 0.5 m, finally throwing it
with a velocity of 15 m s-1 at 40o to the horizontal. Take g = 10 m s-2 .
A
11
C
x
A spacecraft of mass m re-enters the Earth’s atmosphere at an angle of θ to the
horizontal. Due to air resistance, it travels at a constant speed v. The heatshield of the spacecraft dissipates heat at a rate P, so that its mean
temperature remains constant. Taking g as the acceleration of free fall, find an
expression for P.
A
10
B
1/3 x
B
143 J
C
235 J
D
275 J
635 J
In a frictionless roller coaster ride, a car of mass m, starts from rest at the top of
the first hill at point A. What will be the magnitude of the force of car on the hill
when it reaches the top of the second hill at point B? The radius of curvature of
the hill at point B is r.
A
v
B
h1
h2
h3
A
 2(h1 − h2 ) 
mg 1 −

r


B
 2(h2 − h3 ) 
mg 1 −

r


C
2mgh2
r
D
2mg(h2 − h1 )
r
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6
12
In the Rutherford model of the hydrogen atom, an electron of mass m and
charge -e performs uniform circular motion with angular velocity ω about a
stationary proton with charge, e. If the radius of the circular orbit is r, which of
the following statement is correct?
A The force acting on the electron does not depend on r.
B The instantaneous force is always perpendicular to the instantaneous
velocity.
C The electron experiences uniform acceleration.
D The electron experiences no acceleration.
13
14
An artificial satellite is orbiting around the Earth at a steady speed. The
astronaut in the satellite can be regarded as ‘weightless’ because
A
the gravitational force acting on him is zero.
B
the centripetal force he experienced is zero.
C
the satellite’s acceleration is the same as his.
D
the acceleration he experienced is zero.
The table below gives the gravitational potential values at various points in the
field of a planet.
Distance from surface / km
Potential / kJ kg-1
0
- 544.6
220
- 369.2
230
- 345.8
240
- 322.5
Infinity
0
What is the gravitational acceleration at a height of 230 km on this planet?
A
NYJC 2009
1.50 m s-2
B
2.34 m s-2
C
3.46 m s-2
D
9.81 m s-2
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H2 Physics Papers, Notes at alevelphysics.co
7
15
A mass is attached to the end of a vertical spring. It is given a downward
displacement of 3.0 cm from its equilibrium position and then released. The
mass is found to oscillate with period of 0.50s. What is the maximum speed of
the oscillation?
0.21 m s-1
A
16
0.38 m s-1
B
C
0.53 m s-1
D
A pendulum is driven by a periodic driving force of frequency f. The variation of
pendulum’s amplitude with driving frequency was determined for experiments
done in a container of fixed volume of gas, and at two temperatures T1 and T2.
When T2 > T1, determine which of the following graphs best illustrates how
amplitude of the pendulum changes with the driving frequency.
Amplitude
A
Amplitude
B
T2
A
T1
B
T2
T1
Driving frequency
C
Amplitude
Driving frequency
Amplitude
D
T2
T1
D
C
17
T1
T2
Driving frequency
Driving frequency
Which statement about internal energy is correct?
A
B
C
D
18
0.88 m s-1
The internal energy of a system can be increased without transfer of
energy by heating.
The internal energy of a system depends only on its temperature.
When two systems have equal internal energies, they are in thermal
equilibrium.
When work is done on a gas, its internal energy always rises.
An ideal gas undergoes an expansion at a constant pressure of 1.3 x 105 Pa
from a volume of 1.3 x 10-4 m3 to 3.6 x 10-4 m3 . During this expansion, 24 J of
5
heat is supplied to the gas. Its pressure is then increased to 3.6 x 10 Pa at
constant volume. After which, it is compressed to its original volume at
constant pressure. Which statement about the gas is correct?
A
The work done by the gas is 83 J.
B
Its internal energy increases by 6 J during the expansion.
C
The work done by the gas is 30 J.
D
The net work done on the gas is 30 J.
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H2 Physics Papers, Notes at alevelphysics.co
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19
A point source of sound emits energy equally in all directions at a constant rate
and a person 8 m from the source listens. After a while, the intensity of the
source is doubled. If the person wishes the sound to seem as loud as before,
how far should he be standing now?
B 2 2 m
A 2m
20
The distance between 2 points of a progressive transverse wave having a
phase difference of π is 40 cm. If the frequency of the wave is 300 Hz,
3
what is the speed of the wave?
A
21
22
360 m s-1
B
720 m s-1
C
36000 m s-1
D
72000 m s-1
Two loudspeakers L1 and L2, driven by a common oscillator and amplifier, are
set up as shown. As the frequency of the oscillator increases from zero, the
detector at D recorded a series of maximum and minimum signals. At what
frequency is the first maximum observed? (Speed of sound = 330 m s-1)
A
165 Hz
B
330 Hz
C
495 Hz
D
660 Hz
40 m
L1
D
9m
L2
A diffraction grating is placed at the centre of a circular 0 – 360o scale. A beam
of laser light is incident normally on the grating. The zero order maximum
occurs at a scale reading of 180o and a first order maximum occurs at a scale
reading of 155o. A second order maximum would be observed at
A
23
D 2 8 m
C 8 2 m
205 o
B
213 o
C
223 o
The table shows the electric potential V measured
from various distances x from P along the line PQ.
The electric field strength along PQ for a point
distance x = 5.0 m is approximately
A
12 V m
-1
towards P.
-1
D
238 o
V/V
x/m
65
3.0
56
4.0
39
5.0
B
12 V m towards Q.
C
17 V m-1 towards P.
22
6.0
D
17 V m-1 towards Q.
17
7.0
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H2 Physics Papers, Notes at alevelphysics.co
9
24
25
Two charges, - 9.0 × 10-6 C and + 2.5 × 10-3 C are placed 10.0 m apart.
When their separation is changed to 5.0 m, the electrostatic potential energy of
the system
A
decreases by 20 J.
B
decreases by 6.0 J.
C
increases by 6.0 J.
D
increases by 20 J.
The electron beam current in a cathode ray oscilloscope is 40 µA. The electron
beam strikes the screen perpendicular to its path and sweeps horizontally
across the screen at a speed of 0.80 cm s-1.
What is the number of electrons arriving on the screen in 2.0 cm length of the
horizontal trace?
A 6.25 x 1014
26
C 3.13 x 1013
D 3.13 x 1010
A potential difference of 12 V is applied across a resistor for a time interval of
10 s. The current flowing through the resistor is 1 A. Which of the following
statements is incorrect?
A
B
C
D
27
B 1.00 x 1014
The resistance is 12 Ω.
The potential difference across the resistor is 12 J C-1.
The charge passing through the resistor is 10 C.
The energy dissipated is 12 J.
In the circuit diagram below, X is an ideal diode. The power supply has
negligible internal resistance and the voltmeter reads 5.0 V.
4Ω
4Ω
V
4Ω
X
If the connections to the terminals of the voltage supply are reversed, the
voltmeter reading would be
A
NYJC 2009
2.0 V
.
B
3.3 V
.
C
5.0 V
.
D
7.5 V .
9745/01/PRE/09
H2 Physics Papers, Notes at alevelphysics.co
10
28
In the circuit shown, X can be connected to A, B, C or D.
18 Ω
30Ω
G
X
10 Ω
6Ω
A
7Ω
B
2Ω
C
15 Ω
D
In order to obtain a zero reading on the galvanometer G, which point, A, B, C or
D should X be connected to?
29
A and B are two parallel wires carrying currents of magnitudes 1.0 A and 2.0 A
respectively. Which of the following statements is definitely wrong?
A
B
The external magnetic field experienced by A is stronger than that
experienced by B.
The external magnetic force experienced by A is stronger than that
experienced by B.
C
A and B attract each other.
D
A and B repel each other.
NYJC 2009
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H2 Physics Papers, Notes at alevelphysics.co
11
30
An electron enters a region at point O at an angle of 45o to the y-axis as shown .
The region contains a magnetic field which is directed into the plane of the page.
Magnetic
field
y
x
45o
O
An electric field can be applied such that the electron is able to pass through
the region undeflected. Which of the following correctly shows the direction of
this field from O ?
y
A
D
B
x
O
C
31
Two coils X and Y are arranged as shown. Coil X is connected to a current
supply and coil Y is connected to a voltmeter.
X
Y
voltmeter
current supply
V
Which of the following will not produce a reading in the voltmeter?
A
Using a high direct current supply.
B
Using a low alternating current supply.
C
Quickly increasing the direct current supply.
D
Slowly decreasing the direct current supply.
NYJC 2009
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H2 Physics Papers, Notes at alevelphysics.co
12
32
Two coils P and Q enter a magnetic field at the same time, as shown. P has the
same length but twice the width of Q and is moving with half the speed of Q.
Magnetic
field
P
vP
Q
vQ
Which of the following correctly shows the e.m.f. induced in the coils as they
enter the field?
e.m.f.
e.m.f.
P
Q
Q
P
time
time
A
B
e.m.f.
e.m.f.
P
Q
Q
time
C
33
P
time
D
The graph shows a rectangular waveform with a peak current of 3.0 A.
Current / A
3.0
time
0
-3.0
In order to obtain the same r.m.s. current with the same frequency as the
waveform shown, a sinusoidal current should have a peak value of
A
NYJC 2009
2.1 A .
B
3.0 A .
C
4.2 A .
D
6.0 A .
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13
34
An a.c. supply is connected across a resistor R as shown in Fig. 34.1. The
voltage across AB varies sinusoidally with a peak voltage of 5.0 V as shown in
Fig. 34.2.
Voltage / V
B
A
5.0
0
0.02
time /s
0.04
-5.0
R
Fig. 34.2
Fig. 34.1
Which is the following statements about the setup is not correct?
A
The frequency of the supply is 50 Hz.
B
An electron will travel from A through R to B and reverses its direction of
travel every 0.02 s.
C
A steady d.c. supply of
5
V will transfer the same power as the a.c.
2
supply.
D
35
A p-n semiconductor diode connected to the circuit will be able to rectify
the a.c. source to obtain a d.c. output at R.
An electron with kinetic energy E has a de Broglie wavelength of λ. Which of
the following graphs correctly represents the relationship between λ and E?
A
B
λ
λ
1
0
E
C
λ
1
1
NYJC 2009
E
D
λ
0
1
0
0
E
E
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H2 Physics Papers, Notes at alevelphysics.co
14
36
37
Light quanta each of energy 3.5 x 10-19 J fall on the cathode of a photocell. The
current through the cell is just reduced to zero by applying a reverse voltage to
make the cathode 0.25 V positive with respect to the anode. The minimum
energy (in J) required to remove an electron from the cathode is
A
2.9 x 10-19
B
3.1 x 10-19
C
3.5 x 10
D
3.9 x 10
-19
-19
Consider the simple circuit as shown in Fig. 37.1. The input signal is a sine
wave as shown in Fig. 37.2 .
C
VAB
A
t
B
D
Fig.37.2
Fig.37.1
The output signal would be
VCD
VCD
t
t
A
B
VCD
VCD
t
t
C
NYJC 2009
D
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H2 Physics Papers, Notes at alevelphysics.co
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38
Below are energy level schemes of possible laser materials. The “pump” is
where excitation takes place. The “laser transition” indicates the transition
where lasing should occur. The transition “fast decay” is fast compared to the
pumping or excitation process as well as the lasing transition.
Which of these level schemes is best for facilitating population inversion?
A
B
fast decay
fast decay
laser
transition
pump
pump
laser
transition
fast decay
C
D
fast decay
laser
transition
pump
39
laser
transition
pump
A deuteron (2H nucleus) consists of a proton and a neutron. If the binding
energy of a deuteron is 1.12 MeV per nucleon, what is the mass of the deuteron?
Given that 1 eV = 1.60 x 10 -19 J ; mproton = 1.007825 u ; mneutron = 1.008665 u
40
A
2.014091 u
B
2.015291 u
C
2.016490 u
D
2.018889 u
The 14C : 12C ratio of living matter has a constant value during life but the ratio
decreases after death because 14C is unstable and decays by β-emission with
a half-life of 5740 years. Two archeological samples of organic matter were
found at a site. The 14C : 12C ratio of one sample is greater than the other by a
factor of 8. The difference in age (in years) between the two samples is
A
NYJC 2009
718
B
1913
C
17220
D
45920
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