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Question 1 of 66
1. Question
The acceleration due to gravity g and mean density of the earth ρ re related by which of the following relations ? (Where G is gravitational constant and R is the radius of the earth)
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Question 2 of 66
2. Question
When a rubber ball is taken to the bottom of a sea of depth 1400 m, its volume decreases by 2%. The bulk modulus of rubber ball is [density of water is 1 g cc and g = 10 m/s^{2}.]
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Question 3 of 66
3. Question
Two cubical blocks identical in dimensions float in water in such a way that 1st block floats with half part immersed in water and second block floats with 3/4 of its volume inside the water. The ratio of densities of the blocks is
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Question 4 of 66
4. Question
If T is the surface tension of a fluid, the energy needed to break a liquid drop of radius R into 64 equal drops is:
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Question 5 of 66
5. Question
A seconds pendulum clock has a steel wire. The clock shows correct time at 25 0c. How much time does the clock lose or gain, in one week, when the temperature is increased to 35 0C?
[α_{Steel} = 1.2 × 10^{−5}/℃]
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Question 6 of 66
6. Question
What is the dimensional formula for thermal resistance?
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Question 7 of 66
7. Question
Select the correct statement for work, heat and change in internal energy.
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Question 8 of 66
8. Question
A certain amount of an ideal monoatomic gas needs 20 J of heat energy to raise its temperature by 10℃ at constant pressure. The heat needed for the same temperature rise at constant volume will be
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Question 9 of 66
9. Question
A scientist says that the efficiency of his heat energy which works at source temperature 127℃ and sink temperature 27℃ is 26%, then
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Question 10 of 66
10. Question
Select the appropriate property of an ideal gas
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Question 11 of 66
11. Question
By increasing the temperature of a gas by 6℃, its pressure increases by 0.4% at constant volume. Then initial temperature of gas is
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Question 12 of 66
12. Question
A boy is swinging in a swing. If he stand, the time period will
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Question 13 of 66
13. Question
In a simple harmonic wave, minimum distance between particles in same phase always having same speed, is
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Question 14 of 66
14. Question
A uniform string resonates with a tuning fork, at a maximum tension of 32 N. If it is divided into two segments by placing a wedge at a distance onefourth of length from one end, then to resonance with same frequency the maximum value of tension for string will be
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Question 15 of 66
15. Question
Two equally charged identical small balls kept some fixed distance apart exert a repulsive force F on each other. A similar uncharged ball, after touching one of them is p laced at the midpoint of line joining the two bails. Force experienced by the third ball is
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Question 16 of 66
16. Question
What is the amount of charge possessed by 1 kg of electrons ?
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Question 17 of 66
17. Question
Electric charge Q, Q and −2Q respectively are placed at the three corners of an equilateral triangle of side a. Magnitude of the electric dipole moment of the system is
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Question 18 of 66
18. Question
Total electric flux associated with unit positive charge in vacuum is
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Question 19 of 66
19. Question
If an electric field is given by calculate the electric flux through a surface of area 10 units lying in yz plane.
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Question 20 of 66
20. Question
A particle A has charge +q and particle B has charge +4q with each of them having the same mass m. When allowed to fall from rest through the same electric potential difference, the ratio of their speeds will become
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Question 21 of 66
21. Question
A capacitor with plate separation d is charged to V volts. The battery is disconnected and a dielectric slab of thickness d/2 and dielectric constant ‘2’ is inserted between the plates. The potential difference across its terminals becomes
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Question 22 of 66
22. Question
A potential difference of 5 V is applied across a conductor of length 10 cm. If drift velocity of electrons is 2.5 × 10^{−4} m/s, then electron mobility will be
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Question 23 of 66
23. Question
A square frame of side l carries a current i. The magnetic field at its centre is B. The same current is passed through a circular coil having the same perimeter as the square. The field at the centre of the circular coils is B’. The ratio of B and B’ is
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Question 24 of 66
24. Question
Two small bar magnets are placed in a line at certain distance apart. If the length of each magnet is negligible compared to d, force between them will be inversely proportional to
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Question 25 of 66
25. Question
If ϕ_{1} and ϕ_{2} the angles of dip in two vertical planes at right angles to each other and ϕ is the true angle of dip then
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Question 26 of 66
26. Question
A metallic ring with a cut is held horizontally and a magnet is allowed to fall vertically through the ring, then the acceleration of this magnet is
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Question 27 of 66
27. Question
A copper rod of length l is rotated about one end perpendicular to the uniform magnetic field B with constant angular velocity ω. The induced e.m.f. between it two ends is
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Question 28 of 66
28. Question
An inductive circuit contains a resistance of 10 ohms and an inductance of 2 henry. If an alternating voltage of 120 V and frequency 60 Hz is applied to this circuit, the current in the circuit would be nearly
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Question 29 of 66
29. Question
If in a planoconvex lens, radius of curvature of convex surface is 10 cm and the focal length of the lens is 30 cm, the refractive index of the material of the lens will be
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Question 30 of 66
30. Question
Two transparent media A and B are separated by a plane boundary. The speed of light in medium A is 2.0 × 10^{8} ms^{−1} and in medium B is 2.5 × 10^{8} ms^{−1}. The critical angle for which a ray of light going from A to B suffers total internal reflection is
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Question 31 of 66
31. Question
Two waves having intensities in the ratio of 9 : 1 produce interference. The ratio of maximum to minimum intensity is equal to
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Question 32 of 66
32. Question
Two slits separated by a distance of 1 mm are illuminated with red light of wavelength 6.5 × 10^{−7} m. The interference fringes are observed on a screen placed 1 m from the slits. The distance between the third dark fringe and the fifth bright fringe on the same side of central maxima i
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Question 33 of 66
33. Question
Xrays of wavelength 22 pm are scattered from a carbon target at an angle of 85° to the incident beam. the Compton shift for Xrays is
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Question 34 of 66
34. Question
The angular speed of electron in the nth orbit of hydrogen atom is
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Question 35 of 66
35. Question
Ratio of nuclear radii of ^{135}Cs to ^{40}Ca is
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Question 36 of 66
36. Question
The material suitable for making a solar cell is
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Question 37 of 66
37. Question
In semiconductors. which of the following relations is correct at thermal equilibrium?
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Question 38 of 66
38. Question
The T.V. transmission tower in Delhi has a h eight of 240 m. The distance up to which the broadcast can be received, (taking the radius of earth to be 6.4 × 10^{6} m) is
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Question 39 of 66
39. Question
Eddy currents are induced whe
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Question 40 of 66
40. Question
A magnetic needle of negligible breadth and thickness compared to its length, oscillates in a horizontal plane with a period T. The period of oscillation of each part obtained on breaking the magnet into n equal parts perpendicular to the length is
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Question 41 of 66
41. Question
A proton and an alpha particle enter the same magnetic field which perpendicular to their velocity. If they have same kinetic energy then ratio of radii of their circular path is
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Question 42 of 66
42. Question
The induced e.m.f. in a coil does NOT depend on
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Question 43 of 66
43. Question
A current of 10 A is maintained in a conductor of crosssection 1 cm^{2}. If the number density of free electrons 9 × 10^{28} m^{−3}, the drift velocity of free electrons is
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Question 44 of 66
44. Question
If on the xaxis electric potential decreases uniformly from 60 V to 20 V between x = −2 m to x = +2 m, then the magnitude of electric field at the origin
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Question 45 of 66
45. Question
The dimensions of Planck’s constant equals to that of
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Question 46 of 66
46. Question
The focal power of a lens ha the dimensions
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Question 47 of 66
47. Question
The position time graphs of two cars A and B are straight lines making angles 30° and 60° with time axis respectively. The ratio of velocities of A and B is
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Question 48 of 66
48. Question
If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is
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Question 49 of 66
49. Question
The position of a body moving along xaxis at time t is given x = (t^{2} – 4t + 6) m. The distance travelled by body in time interval t = 0 to t = 3 s is
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Question 50 of 66
50. Question
If the displacement of a particle varies with time as √x = t + 7, then
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Question 51 of 66
51. Question
The potential energy o f a particle varies with distance x from a fixed origin as
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Question 52 of 66
52. Question
If the percentage error in the measurement of momentum and mass of an object are 2% and 3% respectively, then maximum percentage error in the calculated value of its kinetic energy is
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Question 53 of 66
53. Question
The velocities of A and B are and . Velocity of B as observed by A is
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Question 54 of 66
54. Question
The horizontal ranges described by two projectiles projected at angles (45° − θ) and (45° + θ) from the same point and same velocity are in the ratio
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Question 55 of 66
55. Question
The resultant of two vectors at angle 150° is 10 units and is perpendicular to one vector. The magnitude of the smaller vector is
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Question 56 of 66
56. Question
If the time of flight of a bullet over a horizontal range R is T, then the angle of projection with horizontal is
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Question 57 of 66
57. Question
The momentum p(in kg m/s) of a particle is varying with time t(in s) as p = 2 + 3t^{2}. The force acting on the particles at t = 3s will be
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Question 58 of 66
58. Question
A block of mass m as shown in figure is pulled by a force 40 N. The tension at the middle of the block is
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Question 59 of 66
59. Question
A block of mass 10 kg is released on rough incline plane. Block start descending with acceleration 2 m/s^{2}. Kinetic friction force acting on block is
(take g = 10 m/s^{2})
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Question 60 of 66
60. Question
In a conical pendulum the length of strings is l and θ is the angle of string with vertical. The time period of revolution is
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Question 61 of 66
61. Question
KE of a body is increased by 44%. What is the percent increase in the momentum?
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Question 62 of 66
62. Question
A ball of mass M moving with speed v collides perfectly in elastically with another ball of mass m at ret. The magnitude of impulse imparted to the first ball is
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Question 63 of 66
63. Question
If radius of earth becomes n times its present value without change in mass, then duration of day becomes
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Question 64 of 66
64. Question
Three point masses m_{1}, m_{2} and m_{3} are placed at the corners of a thin mass less rectangular sheet (1.2 m × 1.0 m) as shown. Centre of mass will be located at the point
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Question 65 of 66
65. Question
As we go from the equator to the poles, value of ‘g’
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Question 66 of 66
66. Question
The acceleration due to gravity on a planet is 1.96 m/s^{2}. If it is safe to jump from a h eight of 3 m on the earth, the corresponding height on the planet will be
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