1. An em wave is propagating in a medium with a
velocity V- Vi. The instantaneous oscillating
electric field of this em wave is along +y axis. Then
the direction of oscillating magnetic field of the em
wave will be along
(1)-z direction
(2) +z direction
(3) y direction
(4)-x direction

2).The refractive index of the material of a prism is
√2 and the angle of the prism is 30 One of the
two refracting surfaces of the prism is made a mirror inwards, by silver coating. A beam of
monochromatic light entering the prism from the
other face will retrace its path (after reflection from the silvered surface) if its angle of incidence on the prism is
1) 60 (2) 45 (3) 30 4) zero

3). The magnetic potential energy stored in a certain inductor is 25 mJ, when the current in the inductor is 60 mA. This inductor is of inductance :-
(1)0.138 H
(2)1.389 H
(3)138.88 H
(4)13.89 H

4).An object is placed at a distance of 40 cm from
a concave mirror of focal length 15 cm. If the object is displaced through a distance of 20 cm towards the mirror, the displacement of the image will be
(1) 30 cm away from the mirror
(2) 36 cm away from the mirror
(3) 30 cm towards the mirror
(4) 36 cm towards the mirror

5).In the combination of the following gates the output
Y can be written in terms of inputs A and B as




7.In a p-n junction diode, change in temperature due to heating
(1) affects only reverse resistance
(2) affects only forward resistance
(3) does not affect resistance of pn junction
(4) affects the overall V- I characteristics of
pn junction

8. A smallsphere of radius t falls from rest in a viscous liquid. As a result, heat is produced due to viscous force. The rate of production of heat when the sphere attains its terminal velocity, is proportional to -
(1) r³  (2) r⁴
(3) r²  (4) r⁵

9.A sample of 0.1 g of water at 100°C and normal
pressure (1.013 10 Nim )requires 54 cal of heat
energy to conuert to stearm at 100"C li the volume
of the steam produced is 167.1 cc, the change in
internal energy of the sample, is
(1) 104.3 J
(2) 42.2 J
(3) 208.7 J
(4) 84.5J

10.Two wires are made of the same material and have the same volume. The first wire has cross sectional area A and the second wire has cross-sectional area 3A. If the length of the first wire is increased by /\ l on applying a force F, how much force is needed to stretch the second wine by the same amount?
(1) 9F
(3) 4F
(2) 6F
(4) F

11. The power radiated by a black body is P and it
radiates maximum energy at wavelength λο If the
temperature of the black body is now changed so
that it radiates maximum energy at wavelength
3/4lemda,the power radiated by it becomes nP The value of n is
1)256/81
2)81/256
3)3/4
4)4/3

12.A set of 'n' equal resistors, of value R each, are
connected in series to a battery of emf E and
internal resistance R. The current drawn is I. Now
the 'n' resistors are connected in parallel to the same battery. Then the current drawn from battery
becomes 10 I. The value of 'n' is -
(1) 10
(2) 11
(3) 9
(4) 20

13. A battery consists of a variable number 'n of
identical cells (having internal resistance r each
which are connected in series. The terminals of the battery are short-circuited and the current I is
measured. Which of the graphs shows the correct
relationship between I and n?


14. A carbon resistor (47 + 4.7) kohm is to be marked with rings of different colours for its identification. The colour code sequence will be
(1) Violet Yellouw - Orange -Siver
(2) Yellow - Violet-Orange Siver
(3) Yellow- Green-Violet-Gold
(4) Green - Orange-Violet-Gold

15. Which one of the following statements is
incorrect?
(1) Rolling friction is smaller than sliding friction
(2) Limiting value of static friction is directly proportional to normal reactions.
(3) Frictional force opposes the relative motion
(4) Coefficient of sliding friction has dimensions of
length

16. A moving block having mass m, collides with another stationary block having mass 4m The lighter block comes to rest after collision. When the initial velocity of the lighter block is v, then the value of coefficient of resistitution (e) will be
1) 0.5
(2) 0.25
(3)0.4
(4) 0.8

17.A body initially at rest and siding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB=D. The height h is equal to -


(1) 3/2 D
2)   D 
(3) 7/5 D
(4)5/4 D

18.Three objects, A : (a solid sphere), B: (a thin circular disk) and C- (a circular ring), each have the same mass M and radius R. They all spin with the same
angular speed o about their own symmetry axes,
The amounts of work (W) required to bring them
to rest, would satisfy the relation



19.A tuning fork is used to produce resonance in a
glass tube. The length of the air column in this tube
can be adjusted by a variable piston. At room
temperature of 27 C two successiv resonances are
produced at 20 cm and 73 cm column length.
the frequency of the tuning fork is 320 Hz. the
velocity of sound in air at 27 C is
(1) 330 m/s
(3) 350 m/s
(2) 339 m/s
(4) 300 m/s

20. An electron falls from rest through a vertical
distance h in a uniform and vertically upward
directed electric field E. The direction of electrical
field is now reversed, keeping its magnitude the
same. A proton is allowed to fall from rest in
through the same vertical distance h. The time fall
of the electron, in comparison to the time fall of
the proton is
(1) smaller
(2) 10 times greater
(3) equal
(4) 5 times greater

21.A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m/s at a distance of 5 m from the mean position. The time period of oscillation is :

(1) 2(pie)s
(2) (pie) s
(3) 2s
(4) 1 s

22.The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A, is
(1) independent of the distance between the plates.
(2) linearly proportional to the distance between the plates
(3) proportional to the square root of the distance
between the plates.
(4) inversely proportional to the distance between
the plates

23. An electron of mass m with an initial velocity
V-v,tv, > 0) enters an electric field E-Ej
(EO-constant >0) at t-0. If λ。is its de-Broglie
wavelength initially, then its de-Broglie wavelength
at time t is



24.For a radioactive material, half-life is 10 minutes.If initially there are 600 number of nuclei, the time taken (in minutes) for the disintegration of 450 nuclei is
(1) 20
(3) 30
(2) 10
(4) 15

25. When the light of frequency 2vo (where vo is
threshold frequency), is incident on a metal plate,
the maximum velocity of electrons emitted is vi
When the frequency of the incident radiation is
increased to 5vo, the maximum elocity of electrons enitted from the same plate is v2. The ratio of V1 to V2 is

(1) 1:2
(2) 1:4
(3)4 1
(4) 2 1

26.The ratio of kinetic energy to the total energy of
an electron in a Bohr orbit of the hydrogen atom,
(1)1:1
(2) 1:-1
(3) 2:-1
(4)1:-2

27. The moment of the force, F-4i+5j-6k at
(2, 0,-3, about the point (2.-2.-2), is given by:-
(1) -8i-4j-7k
2)-4i-j-8k
(3)-7i-8j-4k
4)-7i-4j-8k

28. A block of mass m is placed on a smooth inclined wedge ABC of inclination 8 as shoun in the figure. The wedge is given an acceleration 'a' towards the right, The relation between a and e for the block to remain stationary on the wedge is



29.A toy car with charge q moves on a frictionless horizontal plane surface under the influsence of a uniform electric field E. Due to the force qÉ, its velocity increases from 0 to 6 m/s in one second duration. At that instant the direction of the field is reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between 0 to 3 seconds are respectively
(1) 2 m/s, 4 m/s
(2) 1 m/s, 3 m/s
(3) 1 m/s, 3.5 m/s
(4) 1.5 m/s, 3 m/s

30.A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and zero of circular scale division coincides with 25 divisions above the reference level. If screw gauge has a zero error of -0.004 cm, the correct diameter of the ball is
(1) 0.521 cm
(2) 0.525 cm
(3) 0.053 cm
(4) 0.529 cm

31.Unpolarised light is incident from air on a plane
surface of a material of refractive index 'p'. At a
particular angle of incidence , it is found that the
reflected and refracted rays are perpendicular to
each other Which of the following options is correct for this situation ?

(1) Reflected light is polarised with its electric vector
parallel to the plane of incidence
(2) Reflected light is polarised with its electric vector perpendicular to the plane of incidence



32. In Young's double slit experiment the separation d between the slits is 2mm, the wavelength λ of the light used is 5896 A and distance D between the screen and slits is 100 cm. It is found that the angular width of the fringes is 0.20 To increase the fringe angular width to 0.21"(with same  λ  and D) the separation between the slits needs to be changed to
(1)1.8mm
(2)1.9mm
(3) 2.1 mm
(4)1.7mm

33. An astronomical angular magnification and high angular resolution when it has an objective lens of
(1) small focal kength and large diameter
12) large focal length and small diameter
(3) large focal length and large diameter
(4) small focal length and small diarneter

34. The volume (v) of a monatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas, to the heat absorbed by it, when it undergoes a change from state A to state B,is:-



(1)2/5
(2)2/3
(3)1/3
(4)2/7

35.The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is
(1) 13.2 cm
(2) 12.5 cm
(3) 8 cm
(4) 16 cm

36. The efficiency of an ideal heat engine working
between the freezing point and boiling point of
water, is
(1) 26.8%
(3) 6.25%
(2) 20%
(4) 12.5%

37.At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere?
Given (Mass of oxygen molecule im) - 2.76 x10(power -26 )kg Boltzmann's constant k 1.38 x10(power -23) JK
(1) 2.508 x 10(power 4 )K (2) 8.360 x 10(power 4)  K
(3) 5.016 x 10(power 4)  K (4) 1.254 x 10(power 4 ) K

38. A metallic rod of mass per unit length
0.5 kg m is lying horizontaly on a smooth indined plane which makes an angle of 30 with the horizontal. The rod is not allowed to slidedown by flowing a current through it when a magnetic field of induction 0.25T is acting on it in the vertical direction. The current flowing in the rod to keeps stationary is
(1) 7.14 A
(2) 5.98 A
(3) 11.32 A
(4) 14.76 A

39.An inductor 20 mH, a capacitor 100 μF and a
resistor 50 r2 are corrected in series across a source of emf, V =10 sin 314 t. The power loss in the circuit is
(1) 0.79 W
(3) 2.74 W
(2) 0.43 w
(4) 1.13 w

40. A thin diamagnetic rod is placed vertically between the poles of an electromagnet. When the current in the electromagnet is switched on, then the diamagnetic rod is pushed up, out of the horizontal magnetic field. Hence the rod gains grauitational potential energy. The work required to do this comes from
(1) the current source
(2) the magnetic field
(3) the lattice structure of the material of the rod
(4) the induced electric field due to the changing
magnetic field

41.Current sensitivity of a moving coil galvanometer
is 5 div/mA and its voltage sensitivity (angular
deflection per unit voltage applied) is 20 div/V. The
resistance of the galvanometer is
(1) 40 Ω
(2) 250 n
(3) 25 Ω
(4) 500 Ω

42.If the mass of the Sun were ten times smaller and the universal gravitational constant were ten time larger in magnitude, which of the following is not correct?
(1) Raindrops will fall faster
(2) Walking on the ground would become more
difficult
(3) Time period of a simple pendulum on the Earth
would decrease
(4) 'g' on the Earth will not change

43. A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy (K) as well as rotational kinetic energy (K) simultaneously. The ratio K(t) : (K(t) + K(r)) for the sphere is
(1) 7:10
(2)5:7
(3) 10:7
(4)2:5

44.The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are KA. KB and Kc respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then



45.A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere?
(1) Angular velocity
(2) Moment of inertia
(3) Rotational kinetic energy
(4) Angular momenturm

46. What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?
(1)√gR
(2)√2gR
(3)√3gR
(4)√5gR

47.When a metallic surface is illuminated with radiation of wavelength , the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2, the stopping potential is The
threshold wavelength for the metallic surface is
(1)4λ
(2) 5/2λ
(3)5λ
(4)3λ

48.A gas is compressed isothermally to half its initial
volume. The same gas is compressed separately
through an adiabatic process until its volume is
again reduced to half. Then -
(l) Compressing the gas isothermally will require
more work to be done
(2)Compressing the gas through adiabatic processwill require more work to be done.
(3) Compressing the gas isothermally or
adiabatically will require the same amount of
work
(4) Which of the case (whether compression
through isothermal or through adiabatic
process) requires more work will depend upon
the atomicity of the gas

49.A potentiometer wire is 100 cm long and a constant
potential difference is maintained across it. Two
cells are connected in series first to support one
another and then in opposite direction. The balance
points are obtained at 50 cm and 10 cm from the
positive end of the wire in the two cases. The ratio
of emfs is :-
(1) 5 1
(3) 3: 4
(2) 5: 4
(4) 3 2

50. A astronomical telescope has objective and
eyepiece of focal lengths 40 cm and 4 cm
respectively. To view an object 200 cm away from
the objective, the lenses must be separated by a
distance :-
(1) 37.3 cm
(3) 50.0 cm
(2) 46.0 cm
(4) 54.0 cm