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2019 HCI Prelim H2 Physics 9749 P1

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2
HWA CHONG INSTITUTION
JC2 Preliminary Examinations
Higher 2
Data
CANDIDATE
NAME
CT GROUP
CENTRE
NUMBER
INDEX
NUMBER
18S
speed of light in free space,
8
-1
c = 3.00  10 m s
permeability of free space,
-7
-1
o = 4  10 H m
PHYSICS
9749/01
Paper 1 Multiple Choice
26 September 2019
60 minutes
Additional Materials: Optical Mark Sheet
elementary charge,
-19
e = 1.60  10 C
temperature
Write in soft pencil.
unified atomic mass constant,
-27
u = 1.66  10 kg
Choose the one you consider correct and record your choice in soft pencil on the OMS.
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.
work done on / by a gas
hydrostatic pressure
INSTRUCTIONS TO CANDIDATES
There are thirty questions on this paper. Answer all questions. For each question, there are four possible
answers A, B, C and D.
uniformly accelerated motion
permittivity of free space,
-12
-1
o = 8.85  10 F m
-9
-1
 (1/(36))  10 F m
the Planck constant,
- 34
h = 6.63  10 J s
Write your name, CT, NRIC or FIN number on the optical mark sheet (OMS). Shade your NRIC or FIN in
the spaces provided.
Formulae
rest mass of electron,
-31
me = 9.11  10 kg
rest mass of proton,
-27
mp = 1.67  10 kg
molar gas constant,
-1
-1
R = 8.31 J K mol
the Avogadro constant,
23
-1
NA = 6.02  10 mol
the Boltzmann constant,
-23
-1
k = 1.38  10 J K
gravitational constant,
-11
2
-2
G = 6.67  10 N m kg
acceleration of free fall,
-2
g = 9.81 m s
gravitational potential
pressure of an ideal gas
mean kinetic energy of a
molecule of an ideal gas
displacement of particle in
s.h.m.
velocity of particle in s.h.m.
1 2
at
2
2
2
v = u + 2as
s = ut +
W = p V
p = gh

T/K = T/ C + 273.15
1 Nm
P=
 c2 
3 V
resistors in series
resistors in parallel
electric potential
alternating current / voltage
magnetic flux density due to a
long straight wire
magnetic flux density due to a
flat circular coil
magnetic flux density due to a
long solenoid
radioactive decay
decay constant
3
kT
2
E
x = xo sin t
v = vo cos t
= 
electric current
Gm
r
2
(xo  x 2 )
I = Anvq
R = R1 + R2 + . . .
1/R = 1/R1 + 1/R2 + . . .
V
Q
4o r
x = xo sin  t
μo I
2d
B
B
μo N I
2r
B = onI
x = xo exp ( -t )

ln 2
t1
2
© Hwa Chong Institution
This paper consists of 18 printed pages.
9749 / 01 / C2 Prelim 2019
4
3
1
4
The rate of energy transfer H through a conducting slab is given by
H  kA
A resultant force F acts on a mass m. The variation with time t of F is as shown.
T
l
where the proportionality constant k is the thermal conductivity of the material, A is the crosssectional area of the slab, l is the length of the slab and ∆T is the temperature difference at opposite
faces of the slab.
Which of the following is the unit of k in base SI units?
A W m-1 K-1
2
3
B
W m-2 K-1
C
kg m5 s-2 K-1
D
kg m s-3 K-1
A tennis ball travelling at 4.0 m s-1 due east strikes a surface and bounces off at 3.0 m s-1 due north.
The change in velocity of the tennis ball is
A
1.0 m s-1 at 37° east of north
Mass m is 150 g. At time t = 0, the mass is at rest.
B
1.0 m s-1 at 53° west of south
Which of the following statements is incorrect?
C
5.0 m
at 37° east of south
A
The mass slowed down at a decreasing rate from t = 0.25 s to t = 0.50 s.
D
5.0 m s-1 at 53° west of north
B
The mass is momentarily at rest at t = 0.50 s.
C
The mass reversed direction at t = 0.50 s and sped up at a decreasing acceleration
from t = 0.50 s to t = 0.75 s.
D
The magnitude of the change in velocity of the mass from t = 0.25 s to t = 0.75 s is 0.53 m s-1.
s-1
An object is released from rest and falls vertically. Eventually it reaches terminal velocity.
Which graph best represents how the displacement of the object varies with time?
B
A
displacement
displacement
0
0
0
0
time
C
D
displacement
displacement
0
0
0
© Hwa Chong Institution
time
time
0
time
9749 / 01 / C2 Prelim 2019
© Hwa Chong Institution
9749 / 01 / C2 Prelim 2019
5
5
6
An X-ray photon of wavelength 965.0 x10-12 m collides elastically with a stationary electron.
7
A helium balloon of volume V carrying a light weather instrument rises into the atmosphere. The total
mass of the balloon skin and the weather instrument is M kg. Given the gravitational field strength is
g, the density of air is ρair, and the density of helium is ρHe, the net force acting on the balloon is
A
8
The photon is deflected through an angle of 75° and has a wavelength of 966.8
Given that the momentum carried by the deflected electron is 8.362 x 10-25 N s.
x10-12
m.
(ρair - ρHe)Vg
B
(ρair)Vg - Mg
C
(ρair - ρHe)Vg - Mg
D
(ρHe - ρair)Vg - Mg
A metal wire is stretched by a varying force F, causing its extension x to increase as shown by the
line OPQ on the graph. The force is then gradually reduced to zero and the relation between force
and extension is indicated by line QR.
What is the deflection angle  of the electron?
A
6
12o
B
38o
C
52o
D
78o
A 1.200 m light beam carries a mass M at one end. A light cord affixed to the wall is supporting the
beam at 0.805 m from the wall as shown.
Which of the following correctly represents the work done by the force F in stretching the wire to Q
and the corresponding elastic potential energy stored in the wire?
1.200 m
light cord
wall
30
light beam
Work done by the force F
in stretching the wire to Q
Elastic potential energy
stored in the wire
A
Y+X
X
B
Y
Z
C
Y+Z
Z
D
Y+Z
Y+Z
0.805 m
M
What is the maximum mass M that can be supported if the maximum allowed tension in the cord is
300 N?
A
10.3 kg
© Hwa Chong Institution
B
17.8 kg
C
20.5 kg
D
30.5 kg
9749 / 01 / C2 Prelim 2019
© Hwa Chong Institution
9749 / 01 / C2 Prelim 2019
7
9
8
A car moves with the same speed over each of the 4 bridges shown below. In which of the bridges
is the force which the car exerts on the bridge the smallest?
11
M and N are two stars of equal mass. The points P and Q are equidistant from M and N.
M
B
A
Px
xQ
bridge
bridge
N
Which graph best shows the variation in the gravitational potential  due to the stars between P and
Q?
A
D
C
 P
bridge
B
Q
0
 P
Q
0
bridge
C
 P
D
Q

0
10
An isolated spherical planet has mass M and radius R. The acceleration of free fall on the surface of
the planet is g. What is the work done to move a small mass m from the surface to a height 2R above
the surface?
A
0.50 mgR
B
0.67 mgR
C
mgR
D
2.0 mgR
© Hwa Chong Institution
9749 / 01 / C2 Prelim 2019
P
Q
0
© Hwa Chong Institution
9749 / 01 / C2 Prelim 2019
9
10
14
12
A fixed mass of ideal gas has pressure of 1.2  105 Pa at 50 °C. After a sudden compression, its
pressure increases to 6.0  105 Pa at 200 °C.
What is the ratio of the compressed volume to the original volume?
A
0.80
B
0.29
C
0.14
D
The amplitude of oscillations of a pendulum in a clock below is observed to decay with time. To
maintain the amplitude, an electric motor is attached to the pivot of the pendulum to drive it
periodically.
clock
pivot of the
pendulum
0.05
pendulum
13
Consider the following:
As the frequency f of the periodic force provided by the motor varies, the amplitude of oscillations
vary with f as shown.
S: 1 kg of ice at 0 °C
L1: 1 kg of water at 20 °C
L2: 1 kg of water at 40 °C
G: 1 kg of steam at 100 °C
amplitude
X
Which of the following statements is false?
A
L2 contains molecules with higher average kinetic energies than L1.
B
S has higher potential energy than G.
C
There is positive work done on G when G condenses.
The amount of thermal energy S must gain in order to melt is less than the amount of thermal
energy G must lose in order to condense.
D
driving
frequency
0
Over the years, the friction in the pivot increased.
Which of the following would be the new graph Y showing the variation of amplitude with f?
A
B
Amplitude
Amplitude
Y
X
X
Y
f
0
C
D
Amplitude
f
0
Amplitude
X
X
Y
0
© Hwa Chong Institution
9749 / 01 / C2 Prelim 2019
© Hwa Chong Institution
Y
f
0
f
9749 / 01 / C2 Prelim 2019
11
15
12
16
A wave is travelling on a string in the x-direction.
Which region of the electromagnetic spectrum includes waves with a frequency of 107 MHz?
Fig. (a) and Fig. (b) show the variation with distance x of the displacement y of the string.
A
infra-red waves
Fig. (a) corresponds to time t = 0.00 s while Fig. (b) corresponds to time t = 0.20 s.
B
radio waves
17
C
ultraviolet waves
D
X-rays
Two sheets of polaroid P and Q are placed in front of a double slit such that their directions of
polarization are parallel to each other.
When unpolarised light is incident normally on the double slit, the central bright fringe at X has an
amplitude 2A.
polaroid P
unpolarised
light
Fig. (a)
X
polaroid Q
What is the amplitude at X when polaroid P is turned through an angle of 60°?
A
18
Which of the following is correct about the speed of the wave and the phase difference between A
and B?
0.16
0.5
B
0.16
0.25
C
6.8
0.5
D
6.8
0.25
© Hwa Chong Institution
1.5A
C
1.7A
D
2A
A parallel beam of monochromatic light of wavelength  is incident normally on a diffraction grating.
The angle between the directions of the two second-order diffracted beams is .
A

sin
phase difference / radians
A
B
What is the spacing of the lines on the grating?
Fig. (b)
speed / m s-1
0.5A
9749 / 01 / C2 Prelim 2019
© Hwa Chong Institution
B

 
sin  
2
C
2
sin
D
2
 
sin  
2
9749 / 01 / C2 Prelim 2019
13
19
14
Two ions A and B, at a distance of 4.0 pm apart, are linked to form a molecule. They are situated
between a pair of charged parallel plates placed a distance of 0.10 cm apart. The left plate has a
potential of 2.0 × 102 V and the right plate is earthed. The line joining A and B is at an angle of 30° to
the direction of the electric field as shown in the diagram below.
21
A thin rectangular sheet of metal of uniform thickness and of length 2x and width x is connected to
2
another square sheet of the same metal of the same thickness, which has a resistance of 8.0 Ω
measured between opposite edges.
2.0 × 102 V
+
x
2x
A
+2e
+
J
+
4.0 pm
+
30°
- 2e
+
x/2
K
(not to scale)
What is the resistance between edges J and K?
B
A
0.10 cm
6.4 Ω
B
16 Ω
C
32 Ω
D
40 Ω
What is the torque on the molecule AB?
22
A
20
1.3 × 1025 N m
B 2.2 × 1025 N m
C 2.6 × 1025 N m
The graph plots current I against potential difference V for a filament lamp.
D 5.1 × 1025 N m
An alpha particle travels through a uniform electric field of field strength E. It enters the field with
velocity v and then travels a distance x in a direction opposite to the field, as shown.
path of -particle
What are the correct resistance values at 1 V and 6 V potential difference?
resistance at 1 V
Given that e is the elementary charge, u is the unified atomic mass constant.
What will be the speed of the alpha particle when it leaves the field?
A
B
C
D
v
eEx
2u
v2 
eEx
2u
resistance at 6 V
A
less than 1.0 
1.7 
B
greater than 1.0 
1.7 
C
less than 1.0 
4.0 
D
greater than 1.0 
4.0 
eEx
v
u
v2 
© Hwa Chong Institution
eEx
u
9749 / 01 / C2 Prelim 2019
© Hwa Chong Institution
9749 / 01 / C2 Prelim 2019
15
23
16
A cell of e.m.f. 12 V is connected across four similar bulbs A, B, C and D.
24
The bulb D has a broken filament.
Voltmeters V1 and V2 of infinite resistance are placed in the circuit as shown below.
B
A
D
60 A
C
V2
V1
12 V
60 A
Fig. a
Which of the following correctly shows the voltmeter readings?
Voltmeter V1 / V
Voltmeter V2 / V
0
0
A
B
0
12
C
12
0
D
8
4
60 A
Fig. b
The U-tube shown above contains liquid sodium of density 960 kg m-3. Electrodes are set into
the upper and lower faces of the horizontal section and a current of 60 A is sent through the
liquid as shown in Fig. a.
When a uniform magnetic field is applied as shown in Fig. b, the liquid in the left arm rises by
1.0 cm while the liquid in the right arm lowers by 1.0 cm.
What is the magnetic flux density of the applied magnetic field?
A
© Hwa Chong Institution
9749 / 01 / C2 Prelim 2019
0.013 T
© Hwa Chong Institution
B
0.025 T
C
0.031 T
D
0.063 T
9749 / 01 / C2 Prelim 2019
18
17
25
Two conducting rods EF and GH can slide along two parallel copper bars in a uniform magnetic field
B perpendicular to the plane as shown.
G
E
         

v
















In an experiment to demonstrate the photoelectric effect, light of intensity L and frequency f is incident
on a metal surface. The maximum photoelectric current is I and the stopping potential is VS.
What change, if any, will occur in the maximum photoelectric current and the stopping potential if light
of the same intensity L but of frequency 2f is incident on the surface?

































F
28
B
Maximum photoelectric current
Stopping potential
A
I
greater than 2VS
B
less than I
greater than 2VS
C
I
equal to 2VS
D
less than I
equal to 2VS
H
29
If rod EF is given an initial speed v to move to the left, rod GH will
Which of the following statements is incorrect?
In an alpha decay of a stationary nucleus,
26
A
move to the right.
A
the daughter nucleus and the alpha particle always move off in opposite directions.
B
move to the left.
B
total kinetic energy is not conserved.
C
move to the right first, then to the left.
C
the parent nucleus has a larger mass defect than the daughter nucleus.
D
move to the left first, then to the right.
D
the parent nucleus has a larger binding energy per nucleon than the daughter nucleus.
A rectangle coil of 800 turns has an area of 0.050 m2. It is placed at right angles to a magnetic field
of flux density 4.0 x 10-5 T. It is then rotated through 180 in 0.20 s. The average emf induced in the
coil is
A
27
0.000 V
B
0.016 V
C
0.025 V
D
30
The table below shows the count-rate recorded by a Geiger-Müller counter at a point in a laboratory
at various times, with and without a radioactive source in position.
0.046 V
time / days
10
30
90
An alternating voltage is connected to a resistor of resistance 5.0 Ω.
V/V
20
From these readings, what is the half-life of the source?
sinusoidal
A
0
10
20
count rate / s-1
with source
without source
60
20
30
20
20
20
30
40
50
10 days
B
15 days
C
20 days
D
30 days
t / ms
60
-10
END OF PAPER
What is the mean power dissipated by the resistor?
A
16 W
© Hwa Chong Institution
B
27 W
C
120 W
D
800 W
9749 / 01 / C2 Prelim 2019
© Hwa Chong Institution
9749 / 01 / C2 Prelim 2019
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