Download CMock exam IV paper 2

CCC HOH FUK TONG COLLEGE
Mock Examination 2012–2013
Physics Paper 1
Secondary：6
Date：06/02/ 2013
Time allowed：2.5 hours (8:15 am – 10:45 am)
Marks：120
Name：____________________________
Class：S.6E
Number：_____
GENERAL INSTRUCTIONS
1.
There are TWO sections, A and B, in this Paper. Section A consists of multiple-choice
questions in this question book, while Section B contains conventional questions
printed separately in Question-Answer Book B. You are advised to finish Section A in
about 60 minutes.
2.
Answers to Section A should be marked on the Multiple-choice Answer Sheet while
answers to Section B should be written in the spaces provided on Question-Answer
Book B. The Answer Sheet for Section A and the Question-Answer Book for
Section B must be handed in separately at the end of the examination.
SECTION A (MULTIPLE-CHOICE QUESTIONS)
INSTRUCTIONS FOR SECTION A
1.
Read the instructions on the Answer Sheet carefully. Insert the information required in
the spaces provided.
2.
When told to open this book, you should check that all the questions are there. Look for
the words ‘END OF SECTION A’ after the last question.
3.
All questions carry equal marks.
4.
ANSWER ALL QUESTIONS. You should use an HB pencil to mark all your answers
on the Answer Sheet. Wrong marks must be completely erased.
5.
You should mark only ONE answer for each question. If you mark more than one
answer, you will receive NO MARKS for that question.
6.
No marks will be deducted for wrong answers.
page 1
SECTION A
There are 36 questions. Questions marked with * involve knowledge of the extension
component.
1
Metal blocks P and Q are of the same initial temperature. The ratio of the mass of P to that of Q
is 5 : 1. The ratio of the heat capacity of P to that of Q is 1 : 3. If both blocks absorb the same
amount of energy and are then put into good thermal contact, which of the following statements
about the heat flow between the two blocks is correct? Assume no energy is lost to the
surroundings.
2
A
Heat will flow from P to Q.
B
Heat will flow from Q to P.
C
Heat will first flow from P to Q, and then Q to P.
D
No heat will flow between the two blocks.
A gas substance is cooled under room temperature. Its cooling curve is as shown below. The
specific heat capacity of the gas is 2500 J kg1 C1. If the rate of energy loss of the substance is
constant throughout the cooling process, what is the specific latent heat of vaporization of the
substance?
temperature / C
80
60
40
20
0
10
20
30
40
time / min
A
75 kJ kg1
B
100 kJ kg1
C
150 kJ kg1
D
250 kJ kg1
page 2
3
*4
Which of the following statements explains why we feel cool when there is a wind?
(1)
The rate of evaporation of sweat is higher when it is windy.
(2)
When wind blows, the warm air around us is replaced with cooler air.
(3)
When wind blows, the average kinetic energy of air particles increases.
A
(1) only
B
(2) only
C
(1) and (2) only
D
(2) and (3) only
An ideal gas is sealed in a container of fixed volume. The solid line below shows the
distribution of speeds of the molecules of the gas at time T1. The dotted line shows the new
distribution at time T2.
number of molecules
at T2
at T1
speed of
molecules
Which of the following quantities of the gas decrease(s) from T1 to T2?
(1)
Temperature
(2)
Volume
(3)
Pressure
A
(1) only
B
(2) only
C
(1) and (3) only
D
(1), (2) and (3)
page 3
5
acceleration
stone
time of impact
time
water surface
0
Figure (a)
Figure (b)
In Figure (a), a stone is released from rest at a certain height above water. After some time, the
stone hits the water surface. For a short duration immediately after the impact, we can assume
the water resistance acting on the stone to be constant. Figure (b) shows the acceleration-time
graph of the stone. Which of the following velocity-time graphs best represents the motion of
the stone?
A
0
C
time
velocity
0
D
velocity
0
6
B
velocity
time
velocity
time
0
time
A car of mass 1600 kg is travelling on a straight road at 15 m s–1 initially. The driver sees an
obstacle ahead and applies the brake. The car travels a further distance of 20 m before it stops.
Suppose the braking force is a constant. Find the magnitude of the braking force.
A
3800 N
B
4500 N
C
6000 N
D
9000 N
page 4
7
35
A boy is flying a kite of mass 0.2 kg attached to a light string. The kite remains stationary and
the string makes an angle of 35 with the horizontal. If the tension of the string is 15 N, what is
the magnitude of the force acting on the kite by the wind?
A
14.0 N
B
16.2 N
C
16.6 N
D
17.5 N
8
train
direction of motion
parcel
A train carrying a 200-kg parcel travels along a straight horizontal railroad with a constant
speed. Which of the following free-body diagrams shows all the forces acting on the parcel?
Note: W = gravitational force acting on the parcel,
R = normal reaction exerted by the train floor on the parcel, and
F = friction acting on the parcel.
A
B
R
R
F
W
W
page 5
C
D
R
R
F
F
W
W
9
wooden block
600 m s–1
bullet
500 g
A bullet of mass 20 g flies horizontally at 600 m s –1. It hits a 500-g wooden block resting on a
smooth horizontal surface and becomes embedded into the block after impact. Find the change
in kinetic energy of the system (i.e. bullet and block) upon impact.
10
A
–3456 J
B
–3462 J
C
–3467 J
D
–3473 J
A passenger lift accelerates upwards uniformly at 0.654 m s–2. When the lift reaches a speed of
1.25 m s–1, the power delivered to the lift by the engine is 29 430 W. How many passengers are
in the lift? Take the mass of the lift to be 1500 kg and assume each passenger has a mass of
75 kg.
A
10
B
11
C
12
D
13
*11
O
100 m
8
A car is moving around a circular path with a banking angle of 8 at a uniform speed v. The
radius of curvature is 100 m. Suppose there is no friction between the car and the road. Find the
value of v.
page 6
12
A
11.7 m s–1
B
20.3 m s–1
C
31.2 m s–1
D
42.1 m s–1
The figure below shows a human arm. The forearm and the hand have a total mass of 1.5 kg
and their centre of gravity C is 15 cm from the elbow joint.
biceps
F
metal ball
forearm
elbow joint
C'
C
4 cm
15 cm
34 cm
Suppose the hand holds a metal ball of mass 5 kg. The centre of gravity C' of the metal ball is
34 cm from the elbow joint. A force F applied by the biceps 4 cm from the elbow joint holds
the forearm at right angles to the arm. Find the magnitude of F.
A
362 N
B
408 N
C
472 N
D
553 N
*13
Q
P
R
10 m
S
7m
A monkey of mass 8 kg rests at point P. It grabs a vine and swings to point R where the vine is
vertical. It releases the vine at point R and lands on the ground at point S. Given that point R is
page 7
10 m above the ground and the horizontal distance between points R and S is 7 m. Find the
speed of the monkey at point R. Neglect air resistance.
A
2.9 m s–1
B
4.9 m s–1
C
8.3 m s–1
D
14.0 m s–1
14
P
equilibrium
position
Q
The above figure shows a wave travelling along a string. At the instant shown, particle P is
moving downwards. Which of the following deductions is/are correct?
(1)
The wave is moving to the right.
(2)
Half a period later, particle Q will be moving upwards.
(3)
The maximum displacements of particles P and Q from the equilibrium position are
different.
15
A
(1) only
B
(1) and (2) only
C
(2) and (3) only
D
(1), (2) and (3)
The figure below shows the displacementtime graph of a particle on a transverse wave.
displacement / cm
5
0
time / s
2
4
6
–5
Which of the following quantities of the wave can be deduced from the graph?
(1)
Frequency
(2)
Wave speed
page 8
16
(3)
Direction of propagation
A
(1) only
B
(2) only
C
(1) and (3) only
D
(1), (2) and (3)
A train of straight water waves travels from region P to region Q. The following figure shows
the travelling directions of the wave in the two regions.
P
Q
Which of the following statements is/are correct?
17
(1)
The water in region P is deeper than in region Q.
(2)
When the train of waves travels from region P to region Q, its wavelength increases.
(3)
When the train of waves travels from region P to region Q, its frequency increases.
A
(1) only
B
(3) only
C
(1) and (2) only
D
(1) and (3) only
Two dippers X and Y produce circular water waves in a ripple tank to form an interference
pattern. The antinodal lines are represented by dotted lines as shown. P is a point on an
antinodal line.
P
X
Y
X
Y
Which of the following changes will result in destructive interference at P?
(1)
Reduce the vibrating frequency of X by half.
page 9
18
(2)
Double the amplitude of vibration of X.
(3)
Reduce the depth of water in the ripple tank.
A
(1) only
B
(1) and (2) only
C
(2) and (3) only
D
(1), (2) and (3)
An elastic string is slightly stretched to a length of 1 m. Both ends of the string are fixed. By
giving a disturbance to the string, a stationary wave is produced on it as shown. P and Q are
two particles on the string.
Q
P
1m
Which of the following statements is correct?
*19
A
The wavelength of the stationary wave is 1 m.
B
The speed of the wave along the string is zero.
C
The two ends of the string are antinode positions.
D
Particles P and Q vibrate in phase.
A beam of monochromatic light is incident normally on a plane transmission grating as shown.
The maximum order of fringes formed is 4. Which of the following is a possible angle θ of the
second order bright fringe?
screen
monochromatic
light
θ
plane
transmission
grating
A
13
B
25
C
35
D
45
second order bright fringe
page 10
20
A student directs a ray of light to the centre of a semicircular glass block as shown. Then he
increases the angle of incidence i from 0 to 90 gradually. The refractive index of glass is 1.61.
ray box with
a single slit
i
air
glass
×
O
semicircular
glass block
Which of the following statements is/are correct?
*21
(1)
The light has the same frequency in air and in glass.
(2)
The speed of light in air is larger than that in glass.
(3)
Total internal reflection occurs when i > 38.4.
A
(2) only
B
(1) and (2) only
C
(1) and (3) only
D
(1), (2) and (3)
An object is placed at 20 cm from a concave lens of focal length 5 cm. Find the magnification
of the image.
22
A
0.20
B
0.33
C
4.00
D
6.67
Which of the following statements about sound waves is/are correct?
(1)
Sound waves require a medium to propagate.
(2)
When a sound wave travels in air, the vibrations of air particles are perpendicular to the
direction of travel of the sound wave.
(3)
The wavelength of a sound wave increases as the wave travels from air to water.
A
(2) only
B
(1) and (2) only
C
(1) and (3) only
D
(1), (2) and (3)
page 11
23
displacement of particles
in concrete
+
P
︱
distance / cm
15
–
The above figure shows the displacement–distance graph of a sound wave travelling to the right
in a block of concrete at a certain instant. P is a particle on the wave. Which of the following
statements is/are correct? (Take the displacement towards the right as positive.)
(1)
P is at a centre of rarefraction at the moment shown.
(2)
P is momentarily at rest at the moment shown.
(3)
The wavelength of the sound wave becomes larger than 0.1 m when the wave travels
from concrete to air.
24
A
(1) only
B
(3) only
C
(1) and (2) only
D
(2) and (3) only
Karen combs her hair. Her comb becomes charged and she puts the comb near small bits of
paper without touching them. Which of the following statements is/are correct?
25
(1)
Karen’s hair is charged.
(2)
The bits of paper are charged.
(3)
The comb attracts the bits of paper.
A
(1) only
B
(1) and (3) only
C
(2) and (3) only
D
(1), (2) and (3)
Two oppositely charged parallel metal plates are separated by a small distance d. The electric
field strength between the plates is E. An electron of mass m and charge –e enters the space
between the two plates as shown.
+ + + + + + + + + +
e–
d
– – – – – – – – – –
page 12
Which of the following correctly gives the magnitude and direction of the acceleration of the
electron as it travels between the plates?
Magnitude
eE
m
eE
m
eE
md
eE
md
A
B
C
D
26
Direction
same as the electric field
opposite to the electric field
same as the electric field
opposite to the electric field
Two oppositely charged parallel metal plates are separated by a small distance. The electric
field strength between the two plates is uniform. An electron is projected from the negatively
charged plate to the positively charged plate. Which of the following graphs shows how the
kinetic energy KE of the electron varies with the distance d between the electron and the
negatively charged plate?
A
0
C
d
d
KE
0
D
KE
0
27
B
KE
d
KE
0
d
M and N are two resistive wires of the same length and thickness. A student passes currents I of
different sizes from 2 A to 10 A through each wire and measures the corresponding voltages V
across the wire. The result is shown in the graph below.
page 13
V
M
N
0
2
6
8
10
I/A
Which of the following statements are correct?
(1)
Wire M obeys Ohm’s law from I = 2 A to I = 8 A.
(2)
The two wires have the same resistance when I = 6 A.
(3)
The resistance of M is greater than that of N from I = 2 A to I = 6 A.
A
(1) and (2) only
B
(1) and (3) only
C
(2) and (3) only
D
(1), (2) and (3)
100 
28
X
Y
S
R
R
In the network of resistors shown, the resistance across terminals X and Y is 99 . When switch
S is opened, what is the resistance across terminals X and Y?
29
A
Smaller than 49 
B
Between 49  and 99 
C
Between 99  and 100 
D
Larger than 100 
An electric toaster is rated at ‘220 V, 1100 W’. Which of the following fuses should be
assembled to the power switch of the toaster?
A
3A
B
5A
C
8A
D
13 A
page 14
30
Three long parallel current-carrying wires X, Y and Z are aligned as shown. Both X and Z are
2 cm apart from Y. The currents passing through X, Y and Z are 2 A, 1 A and 3 A respectively.
X
Y
2 cm
Z
2 cm
Which wire experiences the greatest resultant magnetic force per unit length? Which
experiences the smallest?
*31
Greatest
Smallest
A
Y
X
B
Y
Z
C
Z
X
D
Z
Y
Which of the following statements about Hall effect is/are correct?
(1)
Hall effect occurs only in current-carrying semiconductors.
(2)
From the sign of Hall voltage in a material, we can determine the sign of charge carriers
in the material.
32
(3)
Hall effect can be applied to measure the strength of a steady magnetic field.
A
(1) only
B
(2) only
C
(3) only
D
(2) and (3) only
Find the directions of the current through the conducting ring when the ring is entering
(Figure (a)) and leaving (Figure (b)) a uniform magnetic field as shown.
Figure (a)
Figure (b)
page 15
*33
Entering the magnetic field
Leaving the magnetic field
A
clockwise
anticlockwise
B
clockwise
clockwise
C
anticlockwise
anticlockwise
D
anticlockwise
clockwise
An alternating current passing through a resistor varies sinusoidally as shown in Figure (a). The
average power dissipated by the resistor is W. If another alternating current with waveform in
Figure (b) is used instead, what will be the average power dissipated by the resistor?
current I / A
current I / A
2I0
I0
0
T
2T
time t / s
0
–2I0
0.5T
34
2T
time t / s
–2I0
Figure (a)
A
T 1.5T
Figure (b)
W
2
B
1.25 W
C
1.75 W
D
2.5 W
number of neutrons
135
Rn
134
133
132
131
P
130
129
128
80
Q
81
R
82
S
83
84
85
86
87
atomic number
page 16
The diagram above shows the number of neutrons and the atomic number of an isotope of
radon (Rn). The radon nuclide undergoes the following decays and becomes Z.

Rn
X

Y

Z
Which of the following nuclides represents Z?
35
36
A
P
B
Q
C
R
D
S
Which of the following equations represents a nuclear fission?
A
2
2
3
1
1 H  1H  1H  1H
B
2
3
4
1 H  1H  2 He
C
239
94 Pu
D
3
2 He
 01 n 
 01n
144
58 Ce

94
36 Kr
 2 01 n
 23 He  42 He  211 H
The half-life of a radioactive substance is 6 hours. A G-M counter is used to measure the
acitivity of a sample of the substance. The initial count rate recorded is 1840 counts per second.
After 12 hours, the count rate of the sample becomes 520 counts per second. Estimate the
background radiation.
A
60 counts per second
B
80 counts per second
C
100 counts per second
D
120 counts per second
END OF SECTION A
page 17
List of data, formulae and relationships
Data
R = 8.31 J mol1 K1
NA = 6.02  1023 mol1
g = 9.81 m s2 (close to the Earth)
G = 6.67  1011 N m2 kg2
c = 3.00  108 m s1
e = 1.60  1019 C
me = 9.11  1031 kg
0 = 8.85  1012 C2 N1 m2
0 = 4  107 H m1
u = 1.661  1027 kg
(1 u is equivalent to 931 MeV)
AU = 1.50  1011 m
ly = 9.46  1015 m
pc = 3.09  1016 m = 3.26 ly = 206 265 AU
 = 5.67  108 W m2 K4
h = 6.63  1034 J s
molar gas constant
Avogadro constant
acceleration due to gravity
universal gravitational constant
speed of light in vacuum
charge of electron
electron rest mass
permittivity of free space
permeability of free space
atomic mass unit
astronomical unit
light year
parsec
Stefan constant
Planck constant
Rectilinear motion
Mathematics
For uniformly accelerated motion:
Equation of a straight line
y = mx + c
Arc length
= r
Surface area of cylinder
= 2rh + 2r2
Volume of cylinder
= r2h
Surface area of sphere
= 4r2
Volume of sphere
4
= πr 3
3
v
=
s
=
v2 =
u + at
1
ut + at 2
2
u2 + 2as
For small angles, sin   tan    (in radians)
Astronomy and Space Science
Energy and Use of Energy
GMm
r
P = AT4
f v λ
 
f0 c λ0
A(TH  TC )
Q
=k
d
t
k
U=
d
1
P = Av 3
2
U =
gravitational potential energy
Stefan’s law
Doppler effect
Atomic World
Medical Physics
1
m0 v max 2 = hf   Einstein’s photoelectric equation
2
4
1  m e 
13 .6
En =  2  2e 2  =  2 eV
n  8h  0 
n
energy level equation for hydrogen
atom
h
h
= =
de Broglie formula
p mv
=

1.22 λ
d
Rayleigh criterion (resolving power)
1.22 λ
d
1
power =
f
L = 10 log
rate of energy transfer by conduction
thermal transmittance U-value
maximum power by wind turbine
Rayleigh criterion (resolving power)
power of a lens
I
I0
intensity level (dB)
Z = c
acoustic impedance
2
I
(Z  Z1 )
= r = 2
intensity reflection coefficient
I 0 (Z 2  Z1 ) 2
I = I0ex
transmitted intensity through a
medium
page 18
A1.
E = mcT
energy transfer during
heating and cooling
D1.
F=
A2.
E = lm
energy transfer during
change of state
D2.
E=
A3.
pV = nRT
equation of state for an
ideal gas
D3.
A4.
pV =
1
Nmc 2
3
kinetic theory equation
A5.
EK =
3RT
2N A
molecular kinetic energy
v  p
=
t  t
Q1Q 2
4 π 0 r 2
Q
Coulomb’s law
4π 0 r 2
electric field strength due to a
point charge
V=
Q
4π 0 r
electric potential due to a
point charge
D4.
E=
V
d
electric field between parallel
plates (numerically)
D5.
I = nAvQ
general current flow equation
D6.
R=
force
D7.
R = R1 + R2
l
resistance and resistivity
A
B1.
F =m
B2.
moment = F  d
moment of a force
D8.
B3.
EP = mgh
gravitational potential
energy
D9.
P = IV = I2R
power in a circuit
B4.
EK =
kinetic energy
D10.
F = BQv sin 
force on a moving charge in a
magnetic field
B5.
P = Fv =
mechanical power
D11.
F = BIl sin 
force on a current-carrying
conductor in a magnetic field
B6.
a=
centripetal acceleration
D12.
V=
B7.
F=
Newton’s law of
gravitation
D13.
B=
D14.
B=
fringe width in
double-slit interference
D15.
=N
D16.
Vs N s

Vp N p
ratio of secondary voltage to
primary voltage in a
transformer
E1.
N = N0ekt
law of radioactive decay
E2.
t1 =
1
mv 2
2
W
t
v2
= 2r
r
Gm1 m 2
r
2
λD
a
C1.
y =
C2.
d sin  = n
diffraction grating
equation
C3.
1 1 1
 =
u v f
equation for a single lens
1
1
1
=
+
R R1 R 2
2
BI
nQt
0 I
2 πr
 0 NI
l

t
ln 2
k
resistors in series
resistors in parallel
Hall voltage
magnetic field due to a long
straight wire
magnetic field inside a long
solenoid
induced e.m.f.
half-life and decay constant
E3.
A = kN
activity and the number of
undecayed nuclei
E4.
E = mc2
mass-energy relationship
page 19