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Question 1 of 60
1. Question
A particle is projected with an angle of projection θ to the horizontal line passing through the points (P, Q) and (Q, P) referred to horizontal and vertical axes (can be treated as xaxis and yaxis respectively).
The angle of projection can be given by
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Question 2 of 60
2. Question
Determine the height above the dashed line XX′ attained by the water stream coming out through the hole is situated at point B in the diagram given below. Given that h = 10 m, L = 2 m and d = 30°.
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Question 3 of 60
3. Question
If the magnetizing field on a ferromagnetic material is increased, its permeability
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Question 4 of 60
4. Question
A ball is dropped from a bridge 122.5 m above a river. After the ball has been falling for 2s, a second ball is thrown straight down after it. What must the initial velocity of the second ball be so that both hit the water at the same time?
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Question 5 of 60
5. Question
A body of mass 40 kg resting on rough horizontal surface is subjected to a force P which is just enough to start the motion of the body. If μ_{s} = 5,μ_{x} = 0.4, g = 10 m/s^{2} and the force P is continuously applied on the body, then the acceleration of the body is
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Question 6 of 60
6. Question
The self inductance of a coil having 500 turns is 50 mH. The magnetic flux through the crosssectional area of the coil while current through it is 8 mA is found to be
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Question 7 of 60
7. Question
A uniform metallic rod rotates about its perpendicular bisector with constant angular speed. If it is heated uniformly to raise its temperature slightly, then
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Question 8 of 60
8. Question
A uniform disc is acted by two equal forces of magnitude F. One of them, acts tangentially to the disc, while other one is acting at the central point of the disc. The friction between disc surface and ground surface is nF. If r be the radius of the disc, then the value of n would be (in N)
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Question 9 of 60
9. Question
While keeping area of crosssection of a solenoid same, the number of turns and length of solenoid one both doubled. The self inductance of the coil will be
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Question 10 of 60
10. Question
Consider the circular loop having current i and with central point O. The magnetic field at the central point O is
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Question 11 of 60
11. Question
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Question 12 of 60
12. Question
Consider the diagram shown below.
A voltmeter of resistance 150 Ω is connected across A and B. The potential drop across B and C measured by voltmeter is
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Question 13 of 60
13. Question
Two spherical nuclei have mass numbers 216 and 64 with their radii R_{1} and R_{2} respectively. The ratio, is equal to
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Question 14 of 60
14. Question
A massless rod S having length 2l has equal point masses attached to its two ends as shown in figure. The rod is rotating about an axis passing through its centre and making angle α with the axis. The magnitude of change of momentum of rod i.e. equals
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Question 15 of 60
15. Question
A semiconductor having electron and hole motilities μ_{n} and μ_{p }if its intrinsic carrier density is n_{i}, then what will be the value of hole concentration P for which the conductivity will be minimum at a given temperature?
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Question 16 of 60
16. Question
In terms of basic units of mass (M), length (L), time (T) and charge (Q), the dimensions of magnetic permeability of vacuum (μ_{0}) would be
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Question 17 of 60
17. Question
The black body spectrum of an object O_{1} is such that its radiant intensity (i.e. intensity per unit wavelength interval) is maximum at a wavelength of 200 nm. Another object O_{2} has the maximum radiant intensity at 600 nm. The ratio of power emitted per unit area by source O_{1} to that of source O_{2} is
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Question 18 of 60
18. Question
A beam of light of wavelength 400 nm and power 1.55 mW is directed at the cathode of a photoelectric cell. If only 10% of the incident photons effectively produce photoelectron, then find current due to these electrons.
[given, hc = 1240 eVnm, e = 1.6 × 10^{−19}C)
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Question 19 of 60
19. Question
The molar specific heat of a gas as given from the kinetic theory is If it is not specified whether it is C_{P} or C_{V}, one could conclude that the molecules of the gas
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Question 20 of 60
20. Question
The length of a metal wire is I_{1} when the tension in it is T_{1} and is I_{2} when the tension is T_{2}. The natural length of the wire is
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Question 21 of 60
21. Question
The velocity vector v and displacement vector x of a particle executing SHM are related as with the initial condition v = v_{0} at x = 0. The velocity v, when displacement is x, is
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Question 22 of 60
22. Question
Consider the diagram shown below in which two masses of m and 2m are placed on a fixed triangular wedge.
The coefficient of friction between block A and the wedge is 2/3, while that for block B and the wedge is 1/3
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Question 23 of 60
23. Question
In the arrangement shown in figure, the current through 5 Ω resistor is
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Question 24 of 60
24. Question
A hemispherical bowl of radius r is set rotating about its axis of symmetry in vertical. A small block kept in the bowl rotates with bowl without slipping on its surface. If the surface of the bowl is smooth and the angle made by the radius through the block with the vertical is θ, then find the angular speed at which the ball is rotating.
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Question 25 of 60
25. Question
The phase difference between the flux linked with a coil rotating in a uniform magnetic field and induced emf produce in it is
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Question 26 of 60
26. Question
A condenser of 250 μF is connected in parallel to a coil of inductance 0.16 mH, while its effective resistance is 20 Ω. Determine the resonant frequency.
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Question 27 of 60
27. Question
The variation of magnetic susceptibility with the temperature of a ferromagnetic material can be plotted as
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Question 28 of 60
28. Question
For Bragg’s diffraction by a crystal to occur, then the Xray of wavelength λ and interatomic distance d must be
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Question 29 of 60
29. Question
A wire having mass m and length l can freely slide on a pair or parallel smooth horizontal rails placed in vertical magnetic field B. The rails are connected by a capacitor of capacitance C. The electric resistance of the rails and the wire is zero. If a constant force F acts on the wire as shown in the figure. Then, the acceleration of the wire can be given as
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Question 30 of 60
30. Question
Consider the situation shown in figure, A spring of spring constant 400 N/m is attached at one end to a wedge fixed rigidly with the horizontal part. A 40 g mass is released from rest while situated at a height 5 cm the curved track. The minimum deformation in the spring is nearly equal to (take g = 10 m/s^{2})
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Question 31 of 60
31. Question
A block having mass m collides with an another stationary block having mass 2 m. The lighter block comes to rest after collision. If the velocity of first block is v, then the value of coefficient of restitution will must be
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Question 32 of 60
32. Question
A uniform sphere of mass 500 g rolls without slipping on a p lane surface so that its centre moves at speed of 0.002 m/s.
The total kinetic energy of rolling sphere would be (in J)
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Question 33 of 60
33. Question
The force on a particle as the function of displacement x (in xdirection) is given by
F = 10 + 0.5x
The work done corresponding to displacement of particle from x = 0 to x = 2 unit is
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Question 34 of 60
34. Question
The reading of a spring balance corresponds to 100 N while situated at the north pole and a body is kept on it. The weight record on the same scale if it is shifted to the equator, is
(take, g = 10 m/s^{2} and radius of the earth, R = 6.4 × 10^{3} m)
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Question 35 of 60
35. Question
If the intensity is increased by a factor of 20, then how many decibels in the sound level increased?
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Question 36 of 60
36. Question
On the same path, the source and observer are moving such ways that the distance between these two increases with the time. The speeds of source and observer are same and equal to 10 ms^{−1} with respect to the ground while no wind is blowing. The apparent frequency received by observer is 1950 Hz, then the original frequency must be (the speed of sound in present medium is 340 m/s)
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Question 37 of 60
37. Question
Consider the ray diagram for the refraction given below. The maximum value of angle θ for which the light suffers total internal reflection at the vertical surface, is
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Question 38 of 60
38. Question
The near point and far point of a person are 40 cm and 250 cm respectively. Determine the power of the lens he/she should use while reading a book kept at distance 25 cm from the eye.
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Question 39 of 60
39. Question
The dimensional formula for electric flux is
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Question 40 of 60
40. Question
An electron of mass M_{e}, initially at rest moves through a certain distance in a uniform electric field in time t_{1}. A proton of mass M_{p} also initially at rest, takes time t_{2} to move through an equal distance in this uniform electric field, Neglecting the effect of gravity, the ratio t_{2}/t_{1} is nearly equal to
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Question 41 of 60
41. Question
Directions (Q. Nos. 4160) Each of these questions contains two statements. Assertion and Reason.
Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.
Assertion (A) In an elastic collision between two bides, the relative speed of the bodies after collision is equal to the relative speed before the collision.
Reason (R) In elastic collision, the linear momentum of the system is conserved.
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Question 42 of 60
42. Question
Assertion (A) If there is not external torque on a body about its centre of mass, then the velocity of the centre of mass remains constant.
Reason (R) The linear momentum of an isolated system remains constant.
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Question 43 of 60
43. Question
Assertion (A) An astronaut in an orbiting space station above the earth experience weightlessness.
Reason (R) An object moving around the earth under the influence of earth’s gravitational force is in a state of ‘free fall’.
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Question 44 of 60
44. Question
Assertion (A) The stream of water flowing at high speed from a garden hose, pipe tends to spread like a fountain when held vertically up but tends to narrow down when held vertically down.
Reason (R) In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.
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Question 45 of 60
45. Question
Assertion (A) Assertion The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and volume.
Reason (R) The molecules of gas collide with each other and the velocities of the molecules change due to the collision.
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Question 46 of 60
46. Question
Assertion (A) The relation among u, v and f for the spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature.
Reason (R) The laws of reflection are strictly valid for plane surfaces but not for large spherical surfaces.
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Question 47 of 60
47. Question
Assertion (A) In a meter bridge experiment, null point for an unknown resistance is put inside an enclosure maintained at a higher temperature. The null point can be obtained at the same p as before by decreasing the value of the standard resistance.
Reason (R) Resistance of metal increases with increase in temperature.
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Question 48 of 60
48. Question
Assertion (A) Forces acting between protonprotn (f_{pp}), protonneutron(f_{pn}) and neutronneutron (f_{nn}) are such that f_{pp} < f_{pn} = f_{nn}
Reason (R) Electrostatic force of repulsion between two protons reduces net nuclear forces between them.
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Question 49 of 60
49. Question
Assertion (A) The magnetic moment (μ) of an electron revolving around the nucleus decreases with increasing principle quantum number (n).
Reason (R) Magnetic moment of the revolving electron, μ ∝ n.
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Question 50 of 60
50. Question
Assertion (A) A particle of mass M at rest decay into two particles of masses m_{1} and m_{2}, having nonzero velocities will have ratio of deBroglie wavelengths unity.
Reason (R) Here we cannot apply conservation of linear momentum.
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Question 51 of 60
51. Question
Assertion (A) To increase resolving power of a telescope, the aperture (a) of the object should be large.
Reason (R) Resolving power of the telescope is given by
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Question 52 of 60
52. Question
Assertion (A) If the frequency of the applied AC is doubled, then the power factor of a series RL circuit decreases.
Reason (R) Power factor of series RL circuit is given by
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Question 53 of 60
53. Question
Assertion (A) Above Curie temperature, a ferromagnetic material becomes paramagnetic.
Reason (R) When a magnetic material is heated to very high temperature, it loses its magnetic properties.
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Question 54 of 60
54. Question
Assertion (A) A charge moving in a circular orbit can produce electromagnetic wave.
Reason (R) The source of electromagnetic wave should be in accelerated motion.
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Question 55 of 60
55. Question
Assertion (A) The bar magnet falling vertically along the axis of the horizontal coil will be having acceleration less than g.
Reason (R) Clockwise current induced in the coil.
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Question 56 of 60
56. Question
Assertion (A) The effective resistance of the network between P and Q is
Reason (R) Symmetry can be applied to be network with respect to centre.
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Question 57 of 60
57. Question
Assertion (A) A spherical equipotential surface is not possible for a point charge.
Reason (R) A spherical equipotential surface is possible inside a spherical capacitor.
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Question 58 of 60
58. Question
Assertion (A) A wire bent into an irregular shape with the points P and Q fixed. If a current I passed through the wire, then the area enclosed by the irregular portion of the wire increases.
Reason (R) Opposite currents carrying wires repel each other.
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Question 59 of 60
59. Question
Assertion (A) A charge q is placed on a height h/4 above the centre of a square of side b. The flux associated with the square is independent of side length.
Reason (R) Gauss’s law is independent of size of the Gaussian surface.
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Question 60 of 60
60. Question
Assertion (A) Audio signal of frequency 10 kHz cannot be transmitted over long distance without modulation.
Reason (R) Length of the antenna required λ/4, should have practical value.
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