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Question 1 of 45
1. Question
A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a speed of 15 ms^{−1}. Then, the frequency of sound that the observer hears in the echo reflected from the cliff is :
(Take velocity of sound in air = 330 ms^{−1})
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Question 2 of 45
2. Question
Out of the following options which one can be used to produce a propagating electromagnetic wave?
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Question 3 of 45
3. Question
An inductor 20 mH, a capacitor 50 μF and a resistor 40 Ω are connected in series across a source of emf V = 10 sin 340 t. The power los in A.C. circuit is
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Question 4 of 45
4. Question
Match the corresponding entries of column 1 with column 2. [Where m is the magnification produced by the mirror]
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Question 5 of 45
5. Question
Coefficient of linear expansion of brass and steel rods are α_{1} and α_{2}. lengths of brass and steel rods are l_{1} and l_{2} respectively. If (l_{2} – l_{1}) is maintained same at all temperatures, which one of the following relations holds good ?
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Question 6 of 45
6. Question
At what height from the surface of earth the gravitation potential and the value of g are −5.4 × 10^{7} J kg^{−2} and 6.0 ms^{−2} respectively? Take the radius of earth as 6400 km :
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Question 7 of 45
7. Question
A piece of ice falls from a height h so that it melts completely. Only onequarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of h is [Latent heat of ice is 3.4 × 10^{5} J/kg and g = 10 N/kg]
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Question 8 of 45
8. Question
In a diffraction pattern due to a single slit of width ‘a’, the first minimum is observed at an angle 30° when light of wavelength 5000 Å is incident on the slit. The first secondary maximum is observed at an angle of :
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Question 9 of 45
9. Question
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 emf’s is
CorrectIncorrect 
Question 10 of 45
10. Question
A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to 8 × 10^{−4} J by the end of the second revolution after the beginning of the motion?
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Question 11 of 45
11. Question
An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is 50 cm. The next larger length of the column resonating with the same tuning fork is :
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Question 12 of 45
12. Question
To get output 1 for the following circuit, the correct choice for the input is :
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Question 13 of 45
13. Question
A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process unit its volume is again reduced to half. Then :
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Question 14 of 45
14. Question
The intensity at the maximum in a Young’s double slit experiment is I_{0}. Distance between two slits is d = 5λ, where λ is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance D = 10 d ?
CorrectIncorrect 
Question 15 of 45
15. Question
A car is negotiating a curved road of radius R. The road is banked at an angle θ. Te coefficient of friction between the tyres of the car and the road is μ_{s}. The maximum safe velocity on this road is :
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Question 16 of 45
16. Question
An electron of mass m and a photon have same energy E. The ratio of deBroglie wavelengths associated with them is :
(c being velocity of light)
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Question 17 of 45
17. Question
A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 n, is U_{1}, at wavelength 500 n, is U_{2 }and that at 1000 nm is U_{3}. Wien’s constant, = 2.88 × 10^{6} nmK. Which of the following is correct ?
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Question 18 of 45
18. Question
Given the value of Rydberg constant is 10^{7} m^{−1}, the wave number of the last line of the Balmer series in hydrogen spectrum will be :
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Question 19 of 45
19. Question
A npn transistor is connected in common emitter configuration in a given amplifier. A load resistance of 800 Ω is connected in the collector circuit and the voltage drop across it is 0.8 V. If the current amplification factor is 0.96 and the input resistance of the circuit is 192 Ω, the voltage gain and the power gain of the amplifier will respectively be :
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Question 20 of 45
20. Question
Two nonmixing liquids of densities ρ and nρ(n > 1) are put in a container. The height of each liquid is h. A solid cylinder of length L and density d is put in this container. The cylinder floats with its axis vertical and length pL (p < 1) in the denser liquid. The density d is equal to :
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Question 21 of 45
21. Question
If the velocity of a particle is υ = At+ Bt^{2}, where A and B are constants, then the distance travelled by it between 1s and 2s is
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Question 22 of 45
22. Question
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.
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Question 23 of 45
23. Question
The ratio of escape velocity at earth (υ_{e}) to the escape velocity at a planet (υ_{p}) whose radius and mean density are twice as that of earth is :
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Question 24 of 45
24. Question
A long straight wire of radius a carries a steady current I. The current is uniformly distributed over its crosssection. The ratio of the magnetic fields B and B’, at radial distance and 2a respectively, from the axis of the wire is :
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Question 25 of 45
25. Question
A capacitor of 2 μF is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its stored energy dissipated is :
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Question 26 of 45
26. Question
When a metallic surface is illuminated with radiation of wavelength λ, the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2λ, the stopping potential is The threshold wavelength for the metallic surface is
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Question 27 of 45
27. Question
If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is :
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Question 28 of 45
28. Question
A body of mass 1 kg begins to move under the action of a time dependent force where are unit vectors along x and y axis. What power will be developed by the force at the time t?
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Question 29 of 45
29. Question
The angle of incidence for a ray of light at a refracting surface of a prism is 45°. The angle of prism is 60°. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are :
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Question 30 of 45
30. Question
A particle moves so that its position vector is given by Where ω is a constant.
Which of the following is true ?
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Question 31 of 45
31. Question
Consider the junction diode is ideal. The value of current flowing through AB is :
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Question 32 of 45
32. Question
Two identical charge spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d(d < < l) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity υ. Then υ varies as a function of the distance x between the spheres, as :
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Question 33 of 45
33. Question
A small signal voltage V(t) = V_{0} sin ωt is applied across an ideal capacitor C :
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Question 34 of 45
34. Question
The magnetic susceptibility is negative for :
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Question 35 of 45
35. Question
A square loop ABCD carrying a current i, is placed near and coplanar with a long straight conductor XY carrying a current I, the net force on the loop will be :
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Question 36 of 45
36. Question
A uniform rope of length L and mass m_{1} hangs vertically from a rigid support. A block of mass m_{2} is attached to the free end of the rope. A transverse pulse of wavelength λ_{1} is produced at the lower end of the rope. The wavelength of pulse when it reaches the top of the rope is λ_{2}. The ratio λ_{2}/λ_{1} is :
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Question 37 of 45
37. Question
When an αparticle of mass ‘m’ moving with velocity ‘υ’ bombards on a heavy nucleus of charge ‘Ze’, its distance of closest approach from the nucleus depends on m as :
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Question 38 of 45
38. Question
A disk and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first?
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Question 39 of 45
39. Question
From a disc of radius R and mass M, a circular hole of diameter R, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?
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Question 40 of 45
40. Question
A long solenoid has 1000 turns. When a current of 4A flows through it, the magnetic flux linked with each turn of the solenoid is 4 × 10^{−3} Wb. The selfinductance of the solenoid is :
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Question 41 of 45
41. Question
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?
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Question 42 of 45
42. Question
The molecules of a given mass of a gas have r.m.s velocity of 200 ms^{−1} at 27℃ and 1.0 × 10^{5} Nm^{−2} pressure. When the temperature and pressure of the gas are respectively, 127℃ and 0.05 × 10^{5} Nm^{−2}, the r.m.s. velocity of its molecules in ms^{−1} is :
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Question 43 of 45
43. Question
The charge flowing through a resistance R varies with time t as Q = at – bt^{2}, where a and b are positive constants. The total heat produced in R is :
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Question 44 of 45
44. Question
A refrigerator works between 4℃ and 30℃. It is required to remove 600 calories of heat every second in order to keep the temperature of the refrigerated space constant. The power required is :
(Take 1 cal = 4.2 Joules)
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Question 45 of 45
45. Question
A uniform circular disc of radius 50 cm at rest is free to turn about an axis which is perpendicular to its plane and passes through its centre. It is subjected to a torque which produces a constant angular acceleration of 2.0 rad s^{−2}. Its net acceleration in ms^{−2} at the end of 2.0 s in approximately.
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