TEMASEK JUNIOR COLLEGE
2009 Promotional Examinations
Higher 2
PHYSICS
9745
12 October 2009
BOOKLET 1
2 hours 30 minutes
READ THESE INSTRUCTIONS FIRST
This paper consists of 2 booklets and an MCQ answer sheet.
Booklet 1: Section A
Booklet 2: Section B and Section C
Write your name, Index number and C.G. on the MCQ answer sheet and cover
page in Booklet 2.
DO NOT open the booklets until you are told to do so.
Section A
Answer all questions. For each question, there are four possible answers A, B, C and D.
Choose the one you consider correct and shade the box below the correct answer using
soft pencil on the MCQ answer sheet. The MCQ answer sheet will be collected after
45 minutes.
Sections B and C
Answer all questions in the spaces provided in Booklet 2. The number of marks is given
in brackets [ ] at the end of each question or part question. For numerical answers, all
working must be shown.
Write in dark blue or black pen. You may use a soft pencil for any diagrams, graphs or
rough working. Do not use staples, paper clips, highlighters, glue or correction fluid.
At the end of the paper, hand in Booklet 2 only.
INFORMATION
The values of physical constants and a list of formulae are given on page 2.
This booklet consists of 11 printed pages.
2
Data
speed of light in free space,
c
=
3.00 x 108 m s-1
molar gas constant,
R
=
8.31 J K-1 mol-1
NA
=
6.02 x 1023 mol-1
the Boltzmann constant,
k
=
1.38 x 10-23 J K-1
gravitational constant,
G
=
6.67 x 10-11 N m2 kg-2
acceleration of free fall,
g
=
9.81 m s-2
s
=
ut + ½at2
v2
=
u2 + 2as
W
=
pΔV
p
=
ρgh
the Avogadro constant,
Formulae
uniformly accelerated motion,
work done on/by a gas,
hydrostatic pressure,
gravitational potential,
Gm
r
 =

displacement of particle in s.h.m.
x
=
xo sin ωt
velocity of particle in s.h.m.
v
=
vo cos ωt
=

x
2
o
 x2

3
Section A (24 marks)
This section consists of 24 multiple-choice questions.
1
At temperatures close to 0 K, the specific heat capacity of a particular solid is given by
c = bT3, where T is the thermodynamic temperature and b is a constant characteristic of
the solid.
What are the SI base units of b?
A
2
3
m2 s2 K3
B
m2 s2 K4
C
kg m2 s2 K3
D
kg m2 s2 K-4
Which estimate is realistic?
A
The kinetic energy of a bus travelling on an expressway is 30 000 J.
B
The power of a domestic light is 300 W.
C
The temperature of a hot oven is 300 K.
D
The volume of air in a car tyre is 0.030 m3.
A model rocket accelerates vertically upwards from rest at 50 m s-2 for 2.0 s before its
engine burns out. After that, the rocket is observed to continue its motion upwards.
Assuming that air resistance is negligible and the acceleration due to gravity remains
constant, what is the maximum height reached by the rocket?
A
4
100 m
B
520 m
C
610 m
D
1020 m
The figure below is a game of cricket, showing two consecutive shots by a batsman.
Both balls reach the same maximum height above the ground but ball Q travels
twice as far as ball P. Neglect air resistance.
P
Q
If up and uQ are the initial speeds of ball P and Q respectively, which one of the
following about their initial speeds is correct?
A
up > uQ
B
up = uQ
C
up < uQ
D
uQ = 2 uP
4
5
The figure shows an acrobat in equilibrium at the midpoint of a tightrope. The acrobat
has a weight W.
supporting
post
The tension in the rope between the supporting posts is
equal to
B
greater than
C
less than
D
6
W
.
2
A
W
.
2
W
.
2
equal to W.
An object of density o is suspended from a vertical spring and the spring extends by
5.0 cm. When the same spring is used to suspend this same object that is fully
immersed in a liquid of density l, the spring extends only by 2.0 cm.
What is the ratio of
A
7
0.40
l
?
o
B
0.60
C
0.80
D
1.2
A particle which moves from rest is acted upon by two forces: a constant forward force
and a retarding force which is directly proportional to its velocity.
Which one of the following statements about the subsequent motion of the particle is
true?
A
Its velocity increases from zero to a maximum and then decreases.
B
Its acceleration increases from zero to a maximum and then decreases.
C
Its velocity increases from zero to a maximum.
D
Its acceleration increases from zero to a maximum.
5
8
A helicopter with blades of diameter 5.0 m is hovering above the ground. Its blades are
rotating in such a way that they are pushing air downwards at a speed of 18 m s-1. The
density of the surrounding air can be taken as 1.02 kg m-3.
The upward force acting on the blades is
A
9
10
360 N
B
1400 N
C
D
6500 N
26000 N
Students A and B engage in a tug of war. Student A wins the game, and student B falls
forward. Which of the following statements is correct?
A
The force exerted by student A on student B is larger than that exerted by student
B on student A.
B
The force exerted by student A on student B is smaller than that exerted by student
B on student A.
C
The frictional forces exerted by the ground on both students are the same.
D
The force exerted by student A on student B is larger than the frictional force
exerted by the ground on student B.
The diagram shows two blocks A and B of 4.0 kg each, initially stationary and
connected to each other by a light cord passing over a light pulley. Block A is in contact
with the rough surface of an inclined plane at 30 to the horizontal.
B
B
X
2.0 m
A
Y
30
The system is released from rest and block B moves vertically downwards from position
X to Y. The work done against friction due to block A moving against the rough surface
is 10.0 J. What will be the total kinetic energy of the system when block B has travelled
from X to Y through a vertical distance of 2.0 m?
A
29 J
B
34 J
C
39 J
D
68 J
6
11
A car is traveling on a hilly terrain as shown in the figure below. The car has a constant
speed v and the hills have radii of curvature R.
R
R
R
The driver of the car is most likely to feel weightless
12
13
14
A
at the top of a hill when v  gR
B
at the top of a hill when v  gR
C
going down a hill when v  gR
D
at the bottom of a hill when v  gR
A centripetal force is applied to a rubber stopper moving at a constant speed in a
horizontal circle. If the same force is applied and the radius is made smaller, which of
the following correctly describes what happens to the speed, v, and the frequency of
rotation, f, of the stopper?
A
v increases and f increases
B
v decreases and f decreases
C
v increases and f decreases
D
v decreases and f increases
Gravitational field strength at a point may be defined as
A
the force on a small mass placed at the point.
B
the force per unit mass on a small mass placed at the point.
C
the work done to move unit mass from infinity to the point.
D
the work done per unit mass to move a small mass from infinity to the point.
A satellite of mass m is in a circular orbit at a height h from the surface of the Earth. If R
is the Earth's radius and g is the acceleration due to gravity at the surface of the Earth,
the velocity of the satellite is given by
A
g( R  h )
B
gR 2
h
C
gR 2
Rh
D
gR 2
( R  h )2
7
15
The values of acceleration, a, of a particle moving in simple harmonic motion as a function
of its displacement, x, are given in the table below.
a / mm s-2
x / mm
16
-4
8
-2
0
0
-8
2
-16
4
The period, in seconds, of the motion is
A
16
1/
B
2/
C

D
2
A light conical funnel initially filled with sand is suspended by a rope and set to oscillate in
simple harmonic motion as shown in the diagram below.
If sand leaks from the bottom of the funnel at a constant rate, which of the following profiles
shows the distribution of the sand on the floor after some time?
8
17
Two objects P and Q are given the same initial displacement and are then released. The
graphs show the variation with time t of their displacements x.
P and Q are then subjected to driving forces of the same constant amplitude and of
variable frequency f.
Which graph represents the variation with f of the amplitude A of P and Q?
A
B
C
D
9
18
For an ideal gas at 500 C, the mean kinetic energy of the gas molecules is 1.6 x 10-23 J.
What are the values for the temperature of the gas and the mean kinetic energy of the gas
molecules when the mean square speed of the molecules is doubled?
19
Temperature / C
Kinetic energy / J
A
1000
3.2 x 10-23
B
1300
3.2 x 10-23
C
2000
6.4 x 10-23
D
2800
6.4 x 10-23
A sample of an ideal gas initially having internal energy U1 is allowed to expand under
constant temperature condition as shown in the figure below. In this process it absorbs
a quantity of heat Q1 and does external work W. Heat Q2 is then supplied to it, keeping
the volume constant at its new value, until the pressure returns to its original value. The
internal energy is then U2.
Pressure
U1
U2
Volume
The increase in internal energy, U2 – U1 , is equal to
A
0
B
Q1 + Q2
C
W + Q2
D
Q2
10
20
The graph shows, at a particular instant, the variation of the displacement of the
particles in a transverse progressive water wave, of wavelength 4.0 cm, travelling from
left to right.
Which one of the following statements is false?
21
A
Particles at P and R are in anti-phase.
B
The particle at S is moving upwards.
C
The velocity of the particle at Q is a maximum.
D
The distance PS is 3.0 cm.
Which line, A to D, in the table gives a correct difference between a progressive wave
and a stationary wave?
progressive wave
A
all the particles vibrate
some of the particles do not vibrate
B
none of the particles vibrate with
the same amplitude
all the particles vibrate in phase
with each other
some of the particles do not
vibrate
all the particles vibrate with the same
amplitude
none of the particles vibrate in
phase with each other
all the particles vibrate in phase with each
other
C
D
22
stationary wave
Interference maxima produced by a double source are observed at a distance of 1.0 m
from the sources. In which one of the following cases are the maxima closest together?
A
red light of wavelength 700 nm from sources 4.0 mm apart
B
sound waves of wavelength 20 mm from sources 50 mm apart
C
blue light of wavelength 450 nm from sources 2.0 mm apart
D
surface water waves of wavelength 10 mm from sources 200 mm apart
11
23
Two wave generators S1 and S2 produce water waves of wavelength 0.5 m. A detector X is
placed on the water surface 3 m from S1 and 2 m from S2 as shown in the diagram. Each
generator produces a wave of amplitude A at X when operated alone.
X
3m
2m
S2
S1
The generators are operating together and producing waves which have a constant phase
difference of 2 radians. What is the resultant amplitude at X?
A
24
2A
B
A
C
A/2
D
0
Light consisting of two wavelengths, the shorter of which is 420 nm, is incident normally on
a grating. At a diffraction angle of 44°, the third order maximum produced by light of one
wavelength coincides exactly with the second order maximum produced by light of the
other wavelength.
What is the number of lines per metre of the grating?
A
1.8 x 106
B
8.3 x 105
C
5.5 x 105
D
3.7 x 105