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Question 1 of 60
1. Question
A block of mass 5 kg moving at a speed of 6 m/s collides with another block of same mass at rest. If the actual loss of K.E. is one third of maximum loss of K.E. find the coefficient of restitution.
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Question 2 of 60
2. Question
A block of mass 5 kg moving at a speed of 6 m/s collides with another block of same mass at rest. If the actual loss of K.E. is one third of maximum loss of K.E. find the coefficient of restitution.
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Question 3 of 60
3. Question
Which of the following graphs represent the variation of surface tension with temperature over small ranges for water?
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Question 4 of 60
4. Question
Which of the following graphs represent the variation of surface tension with temperature over small ranges for water?
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Question 5 of 60
5. Question
Two square holes of length 2 cm and ℓ_{2} cm is made at a depth of h and 4 h from the surface of water tank as shown in figure. Find ℓ_{2}.
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Question 6 of 60
6. Question
Two square holes of length 2 cm and ℓ_{2} cm is made at a depth of h and 4 h from the surface of water tank as shown in figure. Find ℓ_{2}.
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Question 7 of 60
7. Question
Eight raindrops of radius 0.25 mm each falling downward with terminal velocities of 0.05 m/s coalesce to form a bigger drop. The terminal velocity of the resulting drop is
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Question 8 of 60
8. Question
Eight raindrops of radius 0.25 mm each falling downward with terminal velocities of 0.05 m/s coalesce to form a bigger drop. The terminal velocity of the resulting drop is
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Question 9 of 60
9. Question
At what voltage a resistor of resistance 30 Ω withmaximum power rating 3 kW will melt connected to a d.c source of voltage?
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Question 10 of 60
10. Question
At what voltage a resistor of resistance 30 Ω withmaximum power rating 3 kW will melt connected to a d.c source of voltage?
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Question 11 of 60
11. Question
Statement 1 : A charged particle moving in a uniform magnetic field has unchanged kinetic energy but changes its momentum.
Statement 2 : The magnetic force is always perpendicular to the velocity of the particle.
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Question 12 of 60
12. Question
Statement 1 : A charged particle moving in a uniform magnetic field has unchanged kinetic energy but changes its momentum.
Statement 2 : The magnetic force is always perpendicular to the velocity of the particle.
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Question 13 of 60
13. Question
The angular speed of rotation of an armature of alternating current generator is tripled. The electromotive force
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Question 14 of 60
14. Question
The angular speed of rotation of an armature of alternating current generator is tripled. The electromotive force
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Question 15 of 60
15. Question
The electric potential in a certain region of space is given by v= 3y^{2} – 4y where y is in meter and v is in volt. Equipotential surface in this region are
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Question 16 of 60
16. Question
The electric potential in a certain region of space is given by v= 3y^{2} – 4y where y is in meter and v is in volt. Equipotential surface in this region are
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Question 17 of 60
17. Question
An infinite number of charges having opposite sign (q and –q respectively) are placed along the Xaxis at x = 1, x = 2, x = 4 …… and so on. What will be the potential due to this set of charges at x = 0?
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Question 18 of 60
18. Question
An infinite number of charges having opposite sign (q and –q respectively) are placed along the Xaxis at x = 1, x = 2, x = 4 …… and so on. What will be the potential due to this set of charges at x = 0?
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Question 19 of 60
19. Question
Infinite number of masses each of mass m, are placed along a straight line at distances of r, 2r, 4r, 8r etc from reference point. The gravitational potential at point 0 is
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Question 20 of 60
20. Question
Infinite number of masses each of mass m, are placed along a straight line at distances of r, 2r, 4r, 8r etc from reference point. The gravitational potential at point 0 is
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Question 21 of 60
21. Question
Two uniform cupper rods of length ℓ and 3 ℓ with radii 3r and r respectively heated to the same temperature. The ratio of increase in lengths is
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Question 22 of 60
22. Question
Two uniform cupper rods of length ℓ and 3 ℓ with radii 3r and r respectively heated to the same temperature. The ratio of increase in lengths is
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Question 23 of 60
23. Question
From Newton’s law of cooling, the rate of cooling of a body is proportional to (∆T)^{n/2}, where ∆T is the difference in temperature of the body and its surrounding. The value of n is equal to
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Question 24 of 60
24. Question
From Newton’s law of cooling, the rate of cooling of a body is proportional to (∆T)^{n/2}, where ∆T is the difference in temperature of the body and its surrounding. The value of n is equal to
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Question 25 of 60
25. Question
The amplitude of damped oscillation is in 20 S. At a time of 20S, its amplitude will be of the amplitude. The value of Y is
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Question 26 of 60
26. Question
The amplitude of damped oscillation is in 20 S. At a time of 20S, its amplitude will be of the amplitude. The value of Y is
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Question 27 of 60
27. Question
Two objects are projected from same point with same speed with angles of projection α and β with the horizontal. They strike the ground at a distance X from point of projection. If h_{1} and h_{2} are the heights attained by the objects with times t_{1} and t_{2} respectively then relation between x, h_{1} and h_{2} is given by
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Question 28 of 60
28. Question
Two objects are projected from same point with same speed with angles of projection α and β with the horizontal. They strike the ground at a distance X from point of projection. If h_{1} and h_{2} are the heights attained by the objects with times t_{1} and t_{2} respectively then relation between x, h_{1} and h_{2} is given by
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Question 29 of 60
29. Question
A body slides down in inclined plane at angle 45° with a constant velocity 10 m/s. It is then projected up the inclined plane with an initial velocity 4 m/s. Find the distance upto which it will rise before coming to rest.
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Question 30 of 60
30. Question
A body slides down in inclined plane at angle 45° with a constant velocity 10 m/s. It is then projected up the inclined plane with an initial velocity 4 m/s. Find the distance upto which it will rise before coming to rest.
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Question 31 of 60
31. Question
If an αparticle and a proton both accelerated through same potential V towards a nucleus, what will be the ratio of their closest approaches?
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Question 32 of 60
32. Question
If an αparticle and a proton both accelerated through same potential V towards a nucleus, what will be the ratio of their closest approaches?
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Question 33 of 60
33. Question
A diatomic molecule has moment of inertia I. By Bohr’s quantization condition its rotational energy in the nth level is
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Question 34 of 60
34. Question
A diatomic molecule has moment of inertia I. By Bohr’s quantization condition its rotational energy in the nth level is
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Question 35 of 60
35. Question
Two radioactive nuclides P and Q have halflives of 1 h and 2 hours respectively. Initially the number of radioactive nuclei P is 10 times that of Q. Four hours later, the ratio of radioactive nuclei P to Q is
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Question 36 of 60
36. Question
Two radioactive nuclides P and Q have halflives of 1 h and 2 hours respectively. Initially the number of radioactive nuclei P is 10 times that of Q. Four hours later, the ratio of radioactive nuclei P to Q is
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Question 37 of 60
37. Question
The Vander waal equation for n moles of a real gas is
where P is the pressure, V is the volume , T is the absolute temperature, R is the molar gas constant and a, b are Vander wall constants. The dimension of nRT is same as that of
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Question 38 of 60
38. Question
The Vander waal equation for n moles of a real gas is
where P is the pressure, V is the volume , T is the absolute temperature, R is the molar gas constant and a, b are Vander wall constants. The dimension of nRT is same as that of
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Question 39 of 60
39. Question
In an experiment, refractive index of glass was observed to be 1.46, 1.52, 1.54, 1.42 and 1.56. The measure of absolute error in the experiment is
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Question 40 of 60
40. Question
In an experiment, refractive index of glass was observed to be 1.46, 1.52, 1.54, 1.42 and 1.56. The measure of absolute error in the experiment is
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Question 41 of 60
41. Question
When a lens is placed in air, the focal length of the lens does not depend on
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Question 42 of 60
42. Question
When a lens is placed in air, the focal length of the lens does not depend on
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Question 43 of 60
43. Question
A narrow monochromatic beam of light of intensity I is incident on a glass plate A as shown below. Another identical glass plate B is kept close to A and parallel to it. Each plate reflects 25% of the light intensity incident on it & transmits the remaining. The intensity of beam 2 is
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Question 44 of 60
44. Question
A narrow monochromatic beam of light of intensity I is incident on a glass plate A as shown below. Another identical glass plate B is kept close to A and parallel to it. Each plate reflects 25% of the light intensity incident on it & transmits the remaining. The intensity of beam 2 is
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Question 45 of 60
45. Question
Normally sodium lamps are used in foggy conditions as
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Question 46 of 60
46. Question
Normally sodium lamps are used in foggy conditions as
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Question 47 of 60
47. Question
Statement1 : The position of centre of mass of a body does not depend upon shape and size of the body.
Statement2 : Centre of mass of a body does not always lie at the centre of body.
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Question 48 of 60
48. Question
Statement1 : The position of centre of mass of a body does not depend upon shape and size of the body.
Statement2 : Centre of mass of a body does not always lie at the centre of body.
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Question 49 of 60
49. Question
The time period of a simple pendulum is T. If its length is increased by 8 cm, its period is T_{1} & is T_{2} when the length is decreased by 8 cm. Then, which of the following relations is true?
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Question 50 of 60
50. Question
The time period of a simple pendulum is T. If its length is increased by 8 cm, its period is T_{1} & is T_{2} when the length is decreased by 8 cm. Then, which of the following relations is true?
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Question 51 of 60
51. Question
Statement 1: To hear distinct beat, difference in frequencies of two source should be less than 10.
Statement2 : More the number of beats per sec, more the difficult it becomes to hear them.
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Question 52 of 60
52. Question
Statement 1: To hear distinct beat, difference in frequencies of two source should be less than 10.
Statement2 : More the number of beats per sec, more the difficult it becomes to hear them.
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Question 53 of 60
53. Question
In a closed organ pipe has fundamental frequency of 1650 Hz. The maximum number of overtones generated by this pipe which a normal person can hear is
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Question 54 of 60
54. Question
In a closed organ pipe has fundamental frequency of 1650 Hz. The maximum number of overtones generated by this pipe which a normal person can hear is
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Question 55 of 60
55. Question
A body of mass m is projected from the ground with a velocity u at an angle θ above the horizontal. Find the work done by the gravitational force is a time
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Question 56 of 60
56. Question
A body of mass m is projected from the ground with a velocity u at an angle θ above the horizontal. Find the work done by the gravitational force is a time
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Question 57 of 60
57. Question
A spring of force constant K is cut into two pieces whose lengths are in the ratio 1:2. What is the force constant of the longer piece?
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Question 58 of 60
58. Question
A spring of force constant K is cut into two pieces whose lengths are in the ratio 1:2. What is the force constant of the longer piece?
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Question 59 of 60
59. Question
A pendulum (simple) is oscillating between extreme positions A and B about the mean position ‘O’. Which of the following statements are true?
I. The tension is maximum at A or B and minimum at O.
II. The tension in the string is maximum at O and minimum at A or B.
III. The acceleration in the string is constant throughout the oscillation.
IV. At point ‘O’, the acceleration of the bob is not zero.
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Question 60 of 60
60. Question
A pendulum (simple) is oscillating between extreme positions A and B about the mean position ‘O’. Which of the following statements are true?
I. The tension is maximum at A or B and minimum at O.
II. The tension in the string is maximum at O and minimum at A or B.
III. The acceleration in the string is constant throughout the oscillation.
IV. At point ‘O’, the acceleration of the bob is not zero.
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