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Question 1 of 54
1. Question
The ratio of the dimensions of Planck constant and that of moment of inertia has the dimensions of
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Question 2 of 54
2. Question
A particle is projected with a velocity v so that its horizontal range twice the greatest height attained. The horizontal range is
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Question 3 of 54
3. Question
A stone of mass 0.05 kg is thrown vertically upwards. What is direction and magnitude of net force on the stone during its upward motion?
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Question 4 of 54
4. Question
The kinetic energy of a body of mass 4 kg and momentum 6Ns will be
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Question 5 of 54
5. Question
The ratio of angular speed of a second-hand to the hour-hand of a watch is
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Question 6 of 54
6. Question
If the mass of a body is M on the surface of the earth, the mass of the same body on the surface of the moon is
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Question 7 of 54
7. Question
Moment of Inertia of a thin uniform rod rotating about the perpendicular axis passing through its centre is I. If the same rod is bent into a ring and its moment of inertia about its diameter is I’, then the ratio I/I’ is
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Question 8 of 54
8. Question
The ratio of hydraulic stress to the corresponding strain is known as
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Question 9 of 54
9. Question
The efficiency of a Carnot engine which operates between the two temperatures T1 = 500 K and T2 = 300 K is
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Question 10 of 54
10. Question
Water is heated from 0˚C to 10˚C. Then its volume
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Question 11 of 54
11. Question
1 gram of ice is mixed with 1 gram of steam. At thermal equilibrium, the temperature of the mixture is
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Question 12 of 54
12. Question
The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibrium position is
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Question 13 of 54
13. Question
When two turning forks A and B are sounded together, 4 beats per second are heard. The frequency of the fork B is 384 Hz. When one of the prongs of the fork A is filled and sounded with B, the beat frequency increases, then frequency of the fork A is
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Question 14 of 54
14. Question
A stretched string is vibrating in the second overtone, then the number of nodes and antinodes between the ends of the string are respectively
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Question 15 of 54
15. Question
Two spheres carrying charges + 6 μC and + 9 μC, separated by a distance d, experiences a force of repulsion F. When a charge of of – 3 μC is given to both the sphere and kept at the same distance as before, the new force of repulsion is
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Question 16 of 54
16. Question
Pick out the statement which is incorrect
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Question 17 of 54
17. Question
The angle between the dipole moment and electric field at any point on the equatorial plane is
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Question 18 of 54
18. Question
A spherical shell of radius 10 cm is carrying a charge q. If the electric potential at distances 5 cm, 10 cm and 15 cm from the centre of the spherical shell is V1, V2 and V3 respectively, then
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Question 19 of 54
19. Question
A parallel plate capacitor is charged and then isolated. The effect of increasing the plate separation on charge, potential and capacitance respectively are
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Question 20 of 54
20. Question
Four identical cells of emf E and internal resistance r are to be connected in series. Suppose if one of the cell is connected wrongly, the equivalent emf and effective internal resistance of the combination is
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Question 21 of 54
21. Question
Three resistances 2Ω, 3Ω and 4Ω are connected in parallel. The ratio of currents passing through them when a potential difference is applied across its ends will be
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Question 22 of 54
22. Question
In Wheatstones network P = 2 Ω, Q = 2 Ω, R = 2 Ω and S = 3 Ω. The resistance with which S is to shunted in order that the bridge may e balanced is
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Question 23 of 54
23. Question
The resistance of the bulb filament is 100 Ω at a temperature of 100˚C. If its temperature co-efficient of resistance be 0.005 per ˚C, its resistance will become 200 Ω at a temperature
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Question 24 of 54
24. Question
Two concentric coils each of radius equal to 2 π cm are placed right angles to each other. If 3A and 4A are the currents flowing through the two coils respectively. The magnetic induction (in Wb m-2) at the centre of the coils will be
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Question 25 of 54
25. Question
A proton beam enters a magnetic field of 10-4 Wb m-2 If the specific charge of the proton is 1011 C kg-1 and its velocity is 109 ms-1, then the radius of the circle described will be
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Question 26 of 54
26. Question
A cyclotron is used to accelerate
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Question 27 of 54
27. Question
A galvanometer of resistance 50 Ω gives a full scale deflection for a current 5 × 104 The resistance that should be connected in series with the galvanometer to read 3 V is
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Question 28 of 54
28. Question
Two parallel wires 1 m apart carry currents of 1 A and 3 A respectively in opposite directions. The force per unit length acting between these two wires is
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Question 29 of 54
29. Question
If there is no torsion in the suspension thread, then the time period of magnet executing SHM is
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Question 30 of 54
30. Question
Core of electromagnets are made of ferromagnetic material which has
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Question 31 of 54
31. Question
The magnetic susceptibility of a paramagnetic material at – 73˚C is 0.0075 and its value at – 173 ˚C will be
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Question 32 of 54
32. Question
Two coils have a mutual inductance 0.005 H. the current changes in the first coil according to the equation i = im sin ωt where im = 10 A and ω = 100 π rad s-1. The maximum value of the emf induced in the second coil is
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Question 33 of 54
33. Question
An aircraft with a wingspan of 40 m flies with a speed of 1080 km/hr in the eastward direction at a constant altitude in the northern hemisphere, where the vertical component of the earth’s magnetic field 1.75 × 10-5 Then the emf developed between the tips of the wings is
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Question 34 of 54
34. Question
In an LCR circuit, at resonance
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Question 35 of 54
35. Question
A transformer is used to light 100 W – 110 V lamp from 220 V mains. If the main current is 0.5 A, the efficiency of the transformer is
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Question 36 of 54
36. Question
The average power dissipated in a pure inductor is
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Question 37 of 54
37. Question
If ε0 and μ0 are the permittivity and permeability of force space and ε and μ are the corresponding quantities for a medium, then refractive index of the medium is
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Question 38 of 54
38. Question
A person wants a real image of his own, 3 times enlarged. Where should he stand in front of a concave mirror of radius of curvature 30 cm?
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Question 39 of 54
39. Question
Calculate the focal length of a reading glass of a person if his distance of distinct vision is 75 cm.
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Question 40 of 54
40. Question
To observe diffraction, the size of the obstacle
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Question 41 of 54
41. Question
The polarizing angle of glass is 57 ˚. A ray of light which is incident at this angle will have an angle of refraction as
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Question 42 of 54
42. Question
Light of two different frequencies whose photons have energies 1 eV and 2.5 eV respectively, successively illuminate a metallic surface whose work function is 0.5 eV. Ratio of maximum speeds of emitted electrons will be
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Question 43 of 54
43. Question
Find the de-Broglie wavelength of an electron with kinetic energy of 120 eV
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Question 44 of 54
44. Question
An α-particle of energy 5 MeV is scattered through 180˚ by gold nucleus. The distance of closest approach is of the order of
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Question 45 of 54
45. Question
If an electron in hydrogen atom jumps from an orbit of level n = 3 to an orbit of level n = 2, the emitted radiation has a frequency (R = Rydberg constant, C = velocity of light)
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Question 46 of 54
46. Question
What is the wavelength of light for the least energetic photon emitted in the Lyman series of the hydrogen spectrum. (take hc = 1240 eV nm)
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Question 47 of 54
47. Question
A nucleus at rest splits into two nuclear parts having radii in the ratio 1: 2. Their velocities are in the ratio
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Question 48 of 54
48. Question
The half life of a radioactive substance is 20 minutes. The time taken between 50% decay and 87.5% decay of the substance will be
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Question 49 of 54
49. Question
A radioactive decay can form an isotope of the original nucleus with the emission of particles
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Question 50 of 54
50. Question
An LED is constructed from a pn junction based on a certain semi-conducting material whose energy gap is 1.9 eV. Then the wavelength of the emitted light is
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Question 51 of 54
51. Question
Amplitude modulation has
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Question 52 of 54
52. Question
The input characteristics of a transistor in CE mode is the graph obtained by plotting
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Question 53 of 54
53. Question
The given truth table is for
Input Output A B Y 0 0 1 0 1 1 1 0 1 1 1 0 -
Question 54 of 54
54. Question
The wave used for line-of-sight (LOS) communication is