2. SECTION – I
Single Correct Answer Type
There are five parts in this question. Four choices are given for each part and one of them is
correct. Indicate you choice of the correct answer for each part in your answer-book by
writing the letter (a), (b), (c) or (d) whichever is appropriate
3. 01 Problem
In a Young’s double slit experiment, the separation on the two slits is doubled.
The keep the same spacing of fringes, the distance D of the screen from the
screen from the slits would be made :
a. 2D
b. D
D
c. 2
D
d. 4
4. 02 Problem
The Hubble constant has the dimension of :
a. Time
b. (time)-1
c. length
d. mass
5. 03 Problem
The radius of a nucleus of mass number A is directly proportional to :
a. A1/3
b. A2/3
c. A3
d. A3/2
6. 04 Problem
A 60 kg man runs up a stair case in 12 second while a 50 kg man runs up the
same stair case in 11 seconds. The ratio of the rate of doing their work will be :
a. 10 : 11
b. 11 : 10
c. 6 : 5
d. 5 : 6
7. 05 Problem
Two SHW are represented by the equation y 1 10 sin 3 t m y2 5(sin3 t 3 cos 3 t )
4
their amplitude ratio, and phase difference are respectively :
a. 1 : 1, 12
b. 2 : 3,
3
c. 3 : 4,
4
2
d. 2 : 1, 7
8. 06 Problem
Where A is the area of cross-section of spring and L is the length of the spring and
E is the Young’s modulus of the material of the spring then time period and force
constant of the spring will be respectively :
a. EA L
T 2 ,k
ML EA
b. 1 EA A
T ,k
2 ML EL
1 EA EA
c. T ,k
2 ML L
ML EA
d. T 2 ,k
EA L
9. 07 Problem
A 4i j ˆ i j ˆ
ˆ 4 ˆ 4k and B 3ˆ ˆ 4k then angle between vectors is :
a. 1800
b. 900
c. 450
d. 00
10. 08 Problem
The deceleration experienced by a moving motor boat, after its engine is cut off
d
is given kv 3 where k is constant and is the magnitude of the velocity
dt
at time t after the cut off is :
a. 0 c kt
0
b.
20 kt 1
2
c. 0
0
d.
2
11. 09 Problem
The time displacement curves of two objects A and B are shown in the adjoining
figure then :
a. The graph does not give information
b. Both A and B have same velocity
c. The velocity of A is greater than B
d. The velocity of A is less than B
12. 10 Problem
The vectors ˆ ˆ ˆ j ˆ
P ai aj 3k and Q ai 2 ˆ k
ˆ are perpendicular to each
other. The positive value of ‘a’ is ;
a. 13
b. 9
c. 4
d. 3
13. 11 Problem
Consider the following statements :
(i) For a permanent magnet the area of a hysteresis loop can be allowed to be
large
(ii) Coercivity of the material in permanent magnets should be small
a. (i) but not (ii)
b. (ii) but not (i)
c. both (i) and (ii)
d. neither (i) or (ii)
14. 12 Problem
When pure germanium is doped with pentavalent impurity like phosphorus
the conduction is due to :
a. Position
b. Protons
c. Holes
d. Electrons
15. 13 Problem
Two capacitors of 10 F and 20 F are connected in series with a 30V battery. ?The
charge on the capacitors will be respectively :
a. 100 μC, 100 μC
b. 200 μC, 100 μC
c. 200 μC, 200 μC
d. 100 μC, 200 μC
16. 14 Problem
Intrinsic semiconductor is electrically neutral, extrinsic semiconductor having
large number of current carriers would be :
a. Electrically neutral
b. Positively charged or negatively charged depending upon the type of
impurity that has been added
c. The positively charged
d. Negatively charged
17. 15 Problem
1
The amount of a radio active material 16
th of its initial value in 28 days. Its
mean life is approximately :
a. 3.5 days
b. 10 days
c. 5 days
d. 7 days
18. 16 Problem
An observer sees two particles A and B approaching each other from opposite
direction, each with a speed 0.8 C. The speed of particle B relative to A will be :
a. 0.975 C
b. 0.875 C
c. 9.75 C
d. 97.5 C
19. 17 Problem
What is the energy equivalence to 1 g of coal ?
a. 9 x 1010 J
b. 8 x 1011 J
c. 9 x 1012 J
d. 9 x 1013 J
20. 18 Problem
A proton and an -particle are accelerated through the same kinetic energy. The
ratio of their de Broglie wavelength is :
a. 4 : 1
b. 2 : 1
c. 1 : 1
d. 2 :1
21. 19 Problem
The capacitance of spherical conductor is given by :
a. C = 4 0
b. C = 40R 2
1
c. C = 4 0 R
d. C = 4 0 R
22. 20 Problem
In an A.C. circuit the potential difference and current are represented
respectively by V = 100 sin (100t) volt i = 100 sin 100t 3 milliamperes. The
power in the circuit is :
a. 2.5 watt
b. 5 watt
c. 10 watt
d. 104 watt
23. 21 Problem
Light of frequency 1.5 times the threshold frequency is incident on photo
sensitive material. If the frequency is halved and intensity is doubled. The
photoelectron becomes :
a. Halved
b. Quadrupled
c. Zero
d. Doubled
24. 22 Problem
An electron moving with velocity 2 x 107 m/s describes a circle in a magnetic field
of strength 2 x 10-2 tesla. If e/m of electron is 1.76 x 1011 C/kg. Then the diameter
of the circle will be :
a. 11 cm
b. 1.1 cm
c. 1.1 mm
d. 1.1m
25. 23 Problem
The range of wavelength of the visible part of the electro magnetic spectrum is :
a. 8500 – 10000 Å
b. 7000 – 8500 Å
c. 3000 – 4000 Å
d. 4000 – 7000 Å
26. 24 Problem
A TV transmitting tower has height of 160 m. Its covering range, and the height
raised to double its covering range, will be respectively :
a. 45 km, 640 m
b. 50 km, 700 m
c. 40 km, 600 m
d. none of these
27. 25 Problem
The stopping potential V0 virsus frequency plot of a substance is shown in fig.
The thresold wavelength is :
a. Cannot be estimated from given data
b. 5 x 1014 cm
c. 500 Å
d. 6000 Å
28. 26 Problem
In an A.C. circuit resistance R, inductance L and capacitance C are in parallel. The
value of R is 50 , inductive reactance XL = 40 and capacitive reactance XC = 25 .
Then the reading of ammeter will be:
a. 10.2 A
b. 5 A
c. 17 A
d. 7 A
29. 27 Problem
A conducting circlar loop is placed in a uniform magnetic field of 0.02 tesla with
its palne perpendicular to the magnetic field. If the radius of the loop starts
striking at a constant rate of 1 mm/s. Then the emf induced in the loop at the
instant when the radius is a 4 cm will be :
a. 8μ V
b. 5.0 μ V
c. 2.0 μ V
d. 2.5 μ V
30. 28 Problem
Two inductors 0.4 H and 0.6 H are connected in parallel. If this combination is
connected in series with an inductor of inductance 0.76 H. The equivalent
inductance of the circuit will be :
a. 0.1 H
b. 0.2 H
c. 1 H
d. 2 H
31. 29 Problem
The relation of magnetic force between two short magnets when they are coaxial
will be :
a. F 0 3M1M2
2
4
r
0 3M1M2
b. F
4H r 4
1 6M1M2
c. 40 r4
0 6M1M2
d. 4 r4
32. 30 Problem
the magnetic field at P on the axis of a solenoid having 100 turns / metre and
carrying a current of 5 A is :
a. 250 0
b. 500 2 0
c. 500 0
d. 250 2
33. 31 Problem
A cylindrical container is filled with water upto top. It is a square hole of side L at
a depth y from the top. Also there is a circular hole of radius R = L at a depth 2y
from the top. Then the ratio of quantities of liquid flowing out through the two
holes :
2
a.
1
b. 2
1
c. 2
1
d. 2
34. 32 Problem
A boy has 60 kg wt. He wants to swim in a river with the help of a wooden log. If
relative density of wood is 0.6. What is the minimum volume of wooden log ?
(density of river water is 1000 kg/m3)
a. 0.66 m3
b. 150 m3
3
c. 1 m3
3
d. m3
20
35. 33 Problem
Four particles have speed 1 m/s, 2 m/s, 3 m/s and 4 m/s. The root mean square
velocity of the molecule is :
a. 2.74 m/s
b. 2 m/s
c. 1.37 m/s
d. 5.48 m/s
36. 34 Problem
In an isobaric process of an ideal gas. The ratio of heat supplied and work done
Q
by the system i.e., is :
W
a. 1
r
b.
c. 1
d. 1
37. 35 Problem
The disc of siren has n holes and the frequency of its rotation is 300 rpm. It
produces a note of wavelength 2.4 m. When the velocity of sound in air is 360
m/s. The value of n is :
a. 24
b. 36
c. 5
d. 30
38. 36 Problem
the minimum distance of a sounding body form the hill for heating echo clearly is
: (speed of sound = 34 m/s)
a. 270 m
b. 8.5 m
c. 34 m
d. 17 m
39. 37 Problem
A lens of camera has an aperture of 5 cm and focal length 14 cm . What is the f
number of camera ?
a. 19
5
b.
14
c. 2.8
d. 70
40. 38 Problem
An automobile of mass m is crossing over a concave over bridge with speed . If
radius of bridge is R. The thrust on the bridge at the lowest point will be :
m 2
a. Mg + R
m 2
b. mg - R
c. Mg
m 2
d. R
41. 39 Problem
From a water fall, water is falling down at the rate of 500 kg/s on the plates of a
turbine. If the height of the fall is 50 m, then the power delivered to the turbine
is nearly equal to :
a. 2.5 kW
b. 250 kW
c. 10 kW
d. 25 kW
42. 40 Problem
A aeroplane is flying in a horizontal direction with a velocity u and at a height of
2000 m. When it is vertically below a point a on the ground at point B. If AB = 3
km and g = 10 m/s2. The value of u is :
a. 300 km/hr
b. 150 km/hr
c. 540 km/hr
d. 54 km/hr
43. 41 Problem
A boat full of iron scrap is floating on water in lake. If all the iron is dropped into
water, the water level of water :
a. Go up
b. Remain the same
c. Rise very high
d. Go very
44. 42 Problem
The terminal potential difference of cell when short circuited, is :
a. E
E
b. 2
c. E
3
d. zero
45. 43 Problem
A charged particle moving in a magnetic field is increased in its velocity, then its
radius of the circle :
a. Decreases
b. Increases
c. Remain same
d. Becomes half
46. 44 Problem
An electron revolves 6 x 1015 time per second in a circular orbit. The current in
the loop is :
a. 0.96 mA
b. 0.96 A
c. 28.8 A
d. none of these
47. 45 Problem
The value of Faradays constant is :
a. 9.65 x 104 coulomb
b. 9.65 x 104 coulomb
c. 6.03 x 1027 coulomb
d. 1.6 x 10-19 coulomb
48. 46 Problem
If the coefficient of linear expansion of a solid is 0.00009, its coefficient of volume
expansion is :
a. 0.0009
b. 0.00018
c. 0.00027
d. 0.0003
49. 47 Problem
Soldering of two metals is possible because of the property of :
a. Viscosity
b. Surface tension
c. Osmosis
d. Cohesion
50. 48 Problem
When a triode is used as an amplifier the phase difference between the input
signal voltage and output is :
a. Zero
b.
c. 2
d. 3
51. 49 Problem
For Balmer series that lies in the visible region, the shortest wavelength
corresponds to quantum number :
a. n =1
b. n = 2
c. n=3
d. n =
52. 50 Problem
A double convex lens ( = 3/2) of focal length 20 cm is totally immersed in water (
= 4/3). Its focal length now will be :
a. 20 cm
b. 80 cm
c. 40 cm
d. 10 cm
