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98-AL-PHY-II A / p.1
1.
3.
Two blocks A and B of mass ratio 1 : 2 are placed
on a horizontal frictionless surface as shown above.
P and Q are horizontal forces acting on A and B
Two identical light springs are connected with two
respectively ( with P > Q ) so that the blocks move
masses of 1.0 kg and 0.5 kg as shown. Which of the
to the right with constant acceleration. Find the
following statements is/are correct?
force acting on B by A.
(1) The tension in the upper spring is double that in
A.
the lower spring.
(2) The force acting on the ceiling by the whole
B.
system is 15N.
(3) The tension in the upper spring will remain
C.
unchanged if the two masses are exchanged in
position.
D.
A. (1) only
B.
(3) only
C.
(1) and (2) only
E.
D. (2) and (3) only
E.
PQ
3
PQ
3
2( P  Q )
3
2P  Q
3
P  2Q
3
4.
(1), (2) and (3)
2. The velocities of the longitudinal and transverse
waves produced by an earthquake are 5.0kms
1
1
and 9.0kms respectively. A seismograph records
the arrival of the transverse waves 64 s before that of
the longitudinal waves. How far away was the
earthquake?
A. 256 km
The initial momentum of an object is
2 Ns in
o
the direction S 45 E and its final momentum is
1 Ns due east. If this change takes place in 0.5 s,
the average force acting on the object during the
change is
B. 320 km
C. 576km
A. 1 N due north
D. 659 km
B.
1 N due south
E. 720 km
C.
0.5 N due north
D. 2 N due south
E.
2N due north
98-AL-PHY-II A / p.2
5.
7.
Two small identical coins A and B are placed on a
horizontal turntable which is kept rotating at a
constant angular speed about a vertical axis through
its centre. The distance of B from the axis of rotation
is twice that of A from the axis. Which of the
following statements is/are correct?
(1) The kinetic energy of B is four times that of A.
The graph shows the time variation of the net force,
(2) The frictional force acting on B is double that
F, acting on an object of mass 1 kg. The object is
acting on A.
initially at rest and its subsequent motion is along a
(3) If the angular speed of the turntable gradually
straight line. Which of the following statements
increases, B will slip before A.
is/are correct?
A. (1) only
(1) The object is accelerating in the first 5 seconds.
B.
(3) only
(2) The maximum speed of the object is less than
C.
(1) and (2) only
1
D. (2) and (3) only
10ms .
(3) The final speed of the object is zero.
A. (1) only
E.
8.
(1), (2) and (3)
A body hanging on a light spring oscillates vertically
B. (3) only
between levels X and Z as shown below. Its static
C. (1) and (2) only
equilibrium position is at level Y.
D. (2) and (3) only
E. (1), (2) and (3)
6.
A small object is thrown horizontally towards a
vertical wall 1.2 m away. It hits the wall 0.8 m
below its initial horizontal level. At what speed does
the object hit the wall? ( Neglect air resistance.)
Which of the following statements is/are correct?
(1) The acceleration of the body is zero when it is
at level X.
(2) The strain energy of the spring is zero when the
1
2ms
1
B. 3ms
1
C. 4ms
1
D. 5ms
1
E. 7ms
A.
body is at level Y.
(3) The net downward force acting on the body is
at its maximum when it is at level Z.
A. (1) only
B.
(3) only
C.
(1) and (2) only
D. (2) and (3) only
E.
(1), (2) and (3)
98-AL-PHY-II A / p.3
9.
A mass is suspended by a light spring fixed to the
ceiling. When the mass-spring system undergoes
vertical oscillation freely, its frequency is
11. The displacement-time graphs of two oscillating
particles P and Q are shown below.
f o . If the
system is removed from the ceiling and forced to
oscillate vertically by a periodic driving force of
variable frequencies, which of the following graphs
best represents the relationship between its
frequency of oscillation, f , and the applied
frequency,
fa ?
Which of the following phase relations between P
and Q is correct?
A.
P leads Q by
B.
P leads Q by
C.
P leads Q by
D.
Q leads P by
E.
Q leads P by

4

2


4

2
12. A beam of red (R) light and violet (V) light strikes
normally on a diffraction grating. Several orders of
diffraction of the light beam are produced on each
side of central axis. The wavelength of the red light
is 700 nm and that of the violet light is 400 nm. How
will the second- and third- order diffracted beams of
10. Which of the following travel(s) with the speed of
light in vacuum?
both colours appear? (The central axis is marked
with a dot and the diffracted beams of other orders
are not shown.)
(1) cathode rays
(2)  - rays
Central axis
(3) ultra violet radiation
A.

A. (1) only
B.
(3) only
C.
(1) and (2) only
D. (2) and (3) only
E.
V
R V
R
|
|
|
V
B.
C.


(1), (2) and (3) only
D.
E.


|
V
R
R
|
|
|
|
V
R
R
V
|
|
|
|
R
R
|
|
R
V
|
|
V
|
|
R
|
V
V
|
98-AL-PHY-II A / p.4
13.
(1)
The frequency of the wave changes when
passing from X to Y.
(2)
The end B of the wavefront travels to D at
the same time as the end A travels to C.
(3)
When angle i increases, it is possible for the
The above figure shows a transverse wave
wavefront to be totally reflected at the
propagating along a string. At the instant shown, the
boundary.
particle D on the string is moving downward. Which
of the following deductions is/are correct?
A.
(1) only
B.
(3) only
(1)
The wave is propagating to the left.
C.
(1) and (2) only
(2)
Particle B takes longer than particle A to
D.
(2) and (3)
return for the first time to the respective
E.
(1), (2) and (3)
equilibrium positions along the dotted line.
(3)
Particles C and D are moving in opposite
directions at the instant shown.
15. Sunlight is scattered by air molecules in the
atmosphere. Which of the following statements
concerning this process is/are correct?
A.
(1) only
B.
(3) only
C.
(1) and (2) only
D.
(2) and (3) only
E.
(1), (2) and (3)
(1)
Light is absorbed by air molecules and is
then re-emitted.
(2)
The scattered light observed on the earth’s
Surface is partially plane-polarized.
(3)
Red light is scattered more than blue light is.
14.
A wave is incident on a boundary between two
media X and Y at an angle of incidence i. AB
represents the incident wavefront and CD the
refracted wavefront. Which of the following
statements is/are correct?
A.
(1) only
B.
(3) only
C.
(1) and (2) only
D.
(2) and (3) only
E.
(1), (2) and (3)
98-AL-PHY-II A / p.5
16.
18.
In the above circuit, light bulbs
The above figure shows a long vertical glass tube
L2 and L3 consume power at the rate
containing water. The water level is lowered until
the first resonance occurs when a vibrating turning
1 : 1 : 3. If the resistance of
fork is placed at the opening of the tube. Which of
the following statements is/are correct? (Neglect
resistance of
end corrections.)
(1)
The sound produced by the air column above
the water has the same frequency as the
tuning fork.
(2)
Resonance will occur again if the length of
air column above the water is increased to
three times its original value.
(3)
Resonance will occur again if another tuning
fork of twice the frequency is used.
A.
(1) only
B.
(3) only
C.
(1) and (2) only
D.
(2) and (3) only
E.
(1), (2) and (3)
L1 ,
L3
is R , the
L1 is
A.
3R 16
B.
R4
C.
3R 4
D.
4R 9
E.
3R
19.
17. The mass ratio of the earth and the moon is 81:1
and the earth-moon separation is 3.8  10 m. At
which position between the earth and the moon is
The variation of current with the voltage applied
the gravitational potential at a maximum? (Ignore all
across a device is as shown. What is the change in
other planets.)
resistance of the device when the voltage increases
8
from 1.0 V and 2.0 V?
A.
B.
C.
D.
E.
On the surface of the earth
3.4  10 8 m from the earth
1.9  10 8 m from the earth
0.4  10 8 m from the earth
A.
It decreases by 0.25 
B.
It increases by 0.25 
C.
It decreases by 1.50 
On the surface of the moon
D.
It increases by 0.60 
E.
It decreases by 0.60 
98-AL-PHY-II A / p.6
20.
22.
Which of the following graphs shows correctly the
relationship between the energy E stored in an
isolated conducting sphere and the charge Q on it?
A coil of inductance 0.8 H is connected in series
with a switch S and a cell of e.m.f. 2.0 V. The total
resistance of the circuit is 4.0  . What is the
initial rate of growth of the current when the
switch is closed?
A.
B.
C.
D.
E.
0 As 1
0.4 As 1
0.5 As 1
1.6 As 1
2.5 As 1
21.
In the above circuit each cell has negligible
internal resistance. The voltmeter has a resistance
of 5 k  . The reading on the voltmeter is
A.
0V
B.
1.0 V
C.
1.2 V
D.
1.5 V
E.
2.0 V
98-AL-PHY-II A / p.7
23.
uncharged capacitor
C2 of larger capacitance
through a resistor R as shown above. When switch
S is closed, which of the following statements is
INCORRECT?
A.
The total charges on the two capacitors
remain unchanged.
B.
The final charge on
C2 is greater
than
A changing voltage V is applied across AB in the
Circuit shown. The potential difference
that on
V AC
C.
across the capacitor is found to vary with time t as
shown. Which of the following graphs shows the
variation of potential difference
C1 .
The potential difference across
C1
falls.
D.
VR across the
The potential difference across the two
capacitors finally becomes equal.
resistor R with time t?
E.
The total energy stored in the two
capacitors remains the same.
25.
An alternating current flowing through a resistor
varies with time as shown above. What is the value
of the direct current that gives the same heating
effect as the alternating current?
24.
A charged capacitor
C1 , is connected to an
A.
3.9A
B.
4.0A
C.
4.1A
D.
4.2A
E.
4.3A
98-AL-PHY-II A / p.8
A.
26.
B.
C.
The figure shows a charged particle moving in a
D.
circle with constant speed v on a plane
perpendicular to a uniform magnetic field. Which
E.
of the following graphs represents the relation
o I
2r
to the left
3 o I
to the left
2r
o I
r
to the left
3 o I
to the right
2r
o I
2r
to the right
between the time T for the particle to complete a
circle and its speed v ?
28.
The root-mean-square voltages across the resistor
R, capacitor C and inductor L of an RCL series
circuit are respectively 4 V, 1 V and 4 V. What is
the phase difference between the applied voltage
and the current flowing in the circuit?
A.
B.
C.
D.
E.
30 o
37 o
45 o
53 o
60 o
27.
29.
A capacitor has a capacitance of 1 farad. Which of
the following deductions must be correct?
(1)
It stores 1 coulomb of charge at a potential
difference of 1 volt.
(2)
Two long, straight parallel conducting wires, each
carrying a current I, are separated by a distance r
as shown. What is the magnetic field at a point P at
It gains 1 joule of electrical energy when it
has 1 coulomb of charge.
(3)
It will be fully charged in 1 second by a
constant current of 1 ampere.
the same distance r from both wires?
(  o = permeability of free space)
A.
(1) only
B.
(3) only
C.
(1) and (2) only
98-AL-PHY-II A / p.9
D.
(2) and (3) only
E.
(1), (2) and (3)
30.
32.
A.
(1) only
B.
(3) only
C.
(1) and (2) only
D.
(2) and (3) only
E.
(1), (2) and (3)
Which of the following is/are random process(es)?
The above diagram shows a rectangular
current-carrying coil ABCD in a uniform magnetic
(1)
The background radiation in radioactivity.
field between two pole pieces. The magnetic field
(2)
The Brownian motion of smoke particles in a
is perpendicular to the plane of the coil. Which of
smoke cell.
(3)
the following statements is/are correct?
The scattering of
 -particles by the nuclei
in a piece of gold foil.
(1)
(2)
(3)
There is a magnetic force action on the side
BC of the coil.
A.
(1) only
The magnetic forces acting on the coil tend
B.
(3) only
to reduce its area.
C.
(1) and (2) only
The coil will return quickly to its original
D.
(2) and (3) only
vertical position when it is disturbed slightly.
E.
(1), (2) and (3)
A.
(1) only
33.
The internal energy of an ideal gas always changes
B.
(3) only
C.
(1) and (2) only
D.
(2) and (3) only
(1)
its volume increases.
E.
(1), (2) and (3)
(2)
it undergoes an isothermal change.
(3)
it is compressed in an insulating container.
when
31.
A. (1) only
B. (3) only
C. (1) and (2) only
The above diagram shows two
 -particles
moving directly towards each other with the same
speed. Which of the following statements is/are
correct?
(1)
The two particles attract one another.
(2)
The electric potential energy of the two
particles is decreasing at the instant shown.
(3)
The total momentum of the two particles
remains constant in the subsequent motion.
D. (2) and (3) only
E. (1), (2) and (3)
98-AL-PHY-II A / p.10
34.
In which of the following cases will heat always
(1)
flow away from a body X?
length.
(2)
(1)
X is changed from its liquid state to a solid at
(3)
35.
Using a steel wire of greater cross-sectional
area.
freezing point.
(2)
Using a steel wire of greater unstretched
(3)
Replacing the steel wire with a brass wire of
X is in thermal contact with another system
the same unstretched length and
at a lower temperature.
cross-sectional area.
X is in thermal contact with another system
which has a smaller amount of internal
A.
(1) only
energy.
B.
(3) only
C.
(1) and (2) only
A.
(1) only
D.
(2) and (3) only
B.
(3) only
E.
(1), (2) and (3)
C.
(1) and (2) only
D.
(2) and (3) only
E.
(1), (2) and (3)
37.
The root-mean-square speed of a sample of helium
gas molecules, each of mass m, is c. Which of the
following deductions is correct?
A.
B.
C.
D.
E.
The percentage of molecules travelling
at speed c is greater than at other
The figure shows the force-separation graph for a
speeds.
pair of atoms in a material. Which of the following
Half of the molecules travel at a speed
features is most closely related to the stiffness and
higher than c
the tensile strength of the material?
All molecules travel randomly with
speed c.
(1)
the value of the separation at P
The average speed of the molecules is
(2)
the value of the separation at Q
c.
(3)
the value of the slope of the graph at P
The average kinetic energy of the
(4)
the value of the force at Q
molecules is
36.
1 mc 2 .
2
Stiffness
Tensile strength
A.
(1)
(2)
A uniform vertical steel wire is stretched by
B.
(1)
(4)
hanging a weight from its lower end. Which of the
C.
(3)
(2)
following would put a greater strain on the wire?
D.
(3)
(4)
(The Young modulus of steel is greater than that of
E.
(4)
(3)
brass.)
98-AL-PHY-II A / p.11
38.
B.
2V
2V
C.
0V
4V
D.
4V
0V
E.
4V
2V
40.
In a cathode ray tube, the beam of electrons from
the electron gun is deflected vertically when a p.d is
applied between the deflection plates, P and Q, of
length L and separation d. Which of the following
changes will increase the deflection of the beam for
a given p.d. across the deflection plates?
In the above circuit, the output voltage from the
operational amplifier is positive. Which of the
(1)
(2)
Reducing the p.d. V between the filament
following changes could cause the output voltage to
and the anode.
change to negative?
Reducing the separation d between the
deflection plates.
(3)
Reducing the length L of the deflection
plates.
Increasing the value of
(2)
Decreasing the value of
(3)
Decreasing the light intensity on the LDR.
A.
(1) only
B.
(3) only
C.
(1) and (2) only
A.
(1) only
D.
(2) and (3) only
B.
(3) only
E.
(1), (2) and (3)
C.
(1) and (2) only
D.
(2) and (3) only
E.
(1), (2) and (3)
39.
R1
(1)
R3
41. The activity of a sample of radioactive isotopes
decreases to
1 3 of its initial value in 12 s. How
much more time would be required for the activity
In the above circuit, the resistors are identical, the
battery has negligible internal resistance and the
to decreases to
1 9 of its initial value?
voltmeter draws negligible current. What are the
possible voltmeter readings before and after closing
A.
4s
switch S?
B.
8s
C.
12 s
A.
S open
S closed
D.
16 s
2V
4V
E.
24 s
98-AL-PHY-II A / p.12
42.
44. When several neutrons and protons come together to
form a stable nucleus, which of the following
statements is/are correct?
(1)
Energy is released.
(2)
The mass of the nucleus is smaller than the
sum of the mass of the individual nucleons.
(3)
In the nucleus, the electrostatic repulsion
between two protons is overcome by the
nuclear force between them.
A.
(1) only
B.
(3) only
The diagram shows some energy levels (drawn to
C.
(1) and (2) only
scale) of a certain atom. Transition X results in the
D.
(2) and (3) only
emission of a photon of wavelength 600 nm. Which
E.
(1), (2) and (3)
transition ( P to T ) would result in the emission of a
photon of wavelength 300 nm.
45. In a nuclear reactor, the
235
92
U nucleus is fissioned
A.
P
by a neutron into two nuclei and a few neutrons are
B.
Q
produced. Which of the following statements about
C.
R
this process is/are correct?
D.
S
E.
T
(1)
High energy neutrons are more likely to
produce nuclear fission than low energy
43. A radioactive sample, initially consists of only
nuclide X, decays by the emission of an alpha
neutrons.
(2)
particle to form a stable daughter nuclide Y. Which
of the following quantities will decrease with time?
Graphite can be used to absorb excess
neutrons.
(3)
The two nuclei produced have smaller
neutron-to-proton ratios than that of the
(1)
The rate of decay of nuclide X.
(2)
The rate of growth of nuclide Y.
(3)
The rate of emission of alpha particles.
uranium nucleus.
A.
(1) only
B.
(3) only
A.
(1) only
C.
(1) and (2) only
B.
(3) only
D.
(2) and (3) only
C.
(1) and (2) only
E.
(1), (2) and (3)
D.
(2) and (3) only
E.
(1), (2) and (3)