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Question 1 of 66
1. Question
In the circuit shown below the readings of the ammeter and voltmeter are
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Question 2 of 66
2. Question
If a simple pendulum oscillates with an amplitude 50 mm and time period of 2 s, then its maximum velocity is
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Question 3 of 66
3. Question
If the pressure amplitude in a sound wave is doubled, then the intensity of sound is increased by a factor of
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Question 4 of 66
4. Question
The stationary wave produced on a string is represented by the equation where x and y are in cm and t in second. The distance between consecutive nodes is
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Question 5 of 66
5. Question
y = a cos(kx + ωt) super imposes on another wave giving a stationary wave having node at x = 0. The equation of the other wave which superimposes on to it will be
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Question 6 of 66
6. Question
A string in a musical instrument is 50 cm long and its fundamental frequency is 800 Hz. If a frequency of 1000 Hz is to be produced then required length of the string is
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Question 7 of 66
7. Question
If a spring extends by x on loading, then the energy stored by the spring will be (if T is the tension in the spring and K is spring constant)
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Question 8 of 66
8. Question
If 8 be the surface tension, the work done in breaking a big drop of radius R into n drops of equal radius is
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Question 9 of 66
9. Question
A thin glass prism (μ = 1.5) is immersed in water (μ = 1.3). If the angle of deviation in air for a particular ray be δ, then that in water will be
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Question 10 of 66
10. Question
In an astronomical telescope the final image for normal vision is formed at
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Question 11 of 66
11. Question
To produce a pure spectrum on a screen with the help of a prism, which of the following is not required?
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Question 12 of 66
12. Question
Two lenses in contact form an archromatic lens. Their focal lengths are in the 3 : 4. Ratio of their dispersive powers will be
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Question 13 of 66
13. Question
In a movie hall if the distance between the projector and the screen is increased by 2%, illumination on the screen will be
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Question 14 of 66
14. Question
Fraunhoffer’s line commonly visible in the Sun’s spectrum are example of
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Question 15 of 66
15. Question
The wavelength of the first line of Balmer series of hydrogen atom is λ. The wavelength of the same line in doubly ionized lithium will be
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Question 16 of 66
16. Question
If the critical angle for total internal reflection from a medium to vacuum is 30°, the velocity of light in the medium is
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Question 17 of 66
17. Question
A radioactive element has a halflife 2 hours. In 8 hours 1 gm of radioactive material is reduced to
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Question 18 of 66
18. Question
Which of the following helps in knowing about the stability, of nucleus?
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Question 19 of 66
19. Question
Mass defect for the nucleus of helium is 0.0303 a.m.u. The binding energy per nucleon for helium will be
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Question 20 of 66
20. Question
When a metal with work function of 0.6 eV is illuminated with the light of 2 eV, the necessary stopping potential for the metal will be
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Question 21 of 66
21. Question
If W_{1}, W_{2}, and W_{3} represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown in the gravitational field of a point mass m, find the correct relation between W_{1}, W_{2} and W_{3}.
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Question 22 of 66
22. Question
A block of mass 2 kg is kept on the floor. The coefficient of static friction is 0.4. If a force F of 2.5 newton is applied on the block as shown in the figure,
the frictional force between the block and the floor will be
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Question 23 of 66
23. Question
Two simple harmonic motions are represented by and respectively. The ratio of their amplitudes will be
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Question 24 of 66
24. Question
A body starting from rest moves along a straight line with a constant acceleration. The variation of speed (v) with distance (S) is represented by the graph
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Question 25 of 66
25. Question
Specific heat at constant pressure is greater than the specific heat at constant volume. The reason behind this statement is
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Question 26 of 66
26. Question
The absolute zero is temperature at which
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Question 27 of 66
27. Question
The freezing point of water is marked in a faulty thermometer as 20℃ and boiling points as 150℃. A thermometer at 60℃ will be shown as
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Question 28 of 66
28. Question
What is the moment of inertia of a disc of mass M and radius R about an axis parallel to its diameter and at a distance R/2 from the centre?
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Question 29 of 66
29. Question
If we dip capillary tubes of different radii r in water and water rises to different heights h in them, then
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Question 30 of 66
30. Question
In old age arteries carrying blood in the human body become narrow resulting in an increase in the blood pressure. This follows from
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Question 31 of 66
31. Question
An ideal engine exhausting heat at 77℃ is to have a 30% efficiency. It must take heat at
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Question 32 of 66
32. Question
In a Young’s double slit experiment, the separation between the slits is 4 × 10^{−3} m and the distance of the screen from the p lane of the slit is 2 m. Light of wavelength in the range 2000 Å to 8000 Å is allowed to fall on the slits. The wavelength that will be present on the screen at 5 × 10^{−3} m from the central maximum is
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Question 33 of 66
33. Question
A composite slab consists of two parts of equal thickness. The thermal conductivity of one is twice that of the other. What will be the ratio of temperature difference across the two layers in the state of equilibrium ?
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Question 34 of 66
34. Question
Amongst the following which quantity is not dimensionless?
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Question 35 of 66
35. Question
A wooden rod cannot float vertically in a pond of water because
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Question 36 of 66
36. Question
Two rods, one of copper and the other made of aluminium, having initial length l_{1} and l_{2} are connected together to form a single rod of length l_{1} + l_{2}. The coefficient of linear expansion for copper and aluminium are α_{1} and α_{2} respectively. If the length of each rod increases by the same amount when their temperature are raised by t℃, then the ratio will be
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Question 37 of 66
37. Question
A particle undergoes uniform circular motion. About which point on the plane of the circle, will the angular momentum of the particle remain conserved?
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Question 38 of 66
38. Question
Gas thermometers are more sensitive than the liquid thermometers because they
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Question 39 of 66
39. Question
In which of the process, internal energy of system remains constant ?
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Question 40 of 66
40. Question
What is the thermal capacity of one gram water when it is at the boiling point ?
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Question 41 of 66
41. Question
The percentage of fissionable mass in uranium 235 is
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Question 42 of 66
42. Question
A wooden log of mass M and length L is hanged vertically down by a frictionless nail. A bullet of mass m strikes with velocity v and sticks to it. Just after the collision about the nail the angular velocity of the system will be
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Question 43 of 66
43. Question
The dimensional formula of emf in MKS is
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Question 44 of 66
44. Question
If and given that , then angle between will be
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Question 45 of 66
45. Question
A vector is represented by Its length in XY plane is
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Question 46 of 66
46. Question
A boat which has a speed of 5 km/h in still water crosses a river of width 1 km along the shortest path in 15 minutes. The velocity of the river in km/h is
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Question 47 of 66
47. Question
A quarter horse power motor runs at a speed of 600 rpm. Assuming 40% efficiency the work done by the motor in one rotation will be
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Question 48 of 66
48. Question
A space craft of mass ‘m’ and moving with velocity ‘v’ suddenly breaks into two pieces of same mass ‘m’. After the explosion one of the mass ‘m’ becomes stationary. The velocity of the other part of the craft will be
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Question 49 of 66
49. Question
If R is the radius of a planet, g is the acceleration due to gravity, then the mean density of the planet is given by
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Question 50 of 66
50. Question
For a given material the Young’s modulus is 2.4 times that of rigidity modulus. Its Poisson’s ratio is
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Question 51 of 66
51. Question
Pressure exerted by a gas is
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Question 52 of 66
52. Question
A thin concave and a thin convex lenses are in contact. The ratio of the magnitude of power of two lenses is 2/3 and focal length of combination is 30 cm, then the focal lengths of individual lenses are
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Question 53 of 66
53. Question
A bob of mass M is suspended by a masless string of length L. The horizontal velocity V at position A is just sufficient to make it reach the point B. The angle θ at which the speed of the bob is half of t hat at A, satisfies
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Question 54 of 66
54. Question
An alpha particle having kinetic energy of 10 MeV is moving towards a stationary nucleus of atomic n umber 50. The distance of closest approach will be
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Question 55 of 66
55. Question
The electrostatic potential V at any point (x, y, z) in space is given by V = 4x^{2}
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Question 56 of 66
56. Question
The law of equipartition of energy is applicable to the system whose constituents are
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Question 57 of 66
57. Question
In a Wheatstone’s bridge all the four arms have equal resistance R. The resistance of the galvanometer arm is also R. The equivalent resistance of the combination as seen by the battery is
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Question 58 of 66
58. Question
A heater boils 1 kg of water in time T_{1} and another heater boils the same water in time T_{2}. If both are connected in series water boils in time
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Question 59 of 66
59. Question
A proton is rotating along a circular path with kinetic energy K in an uniform magnetic field B. If the magnetic field is mad four times, then the kinetic energy of the rotation proton will be
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Question 60 of 66
60. Question
A galvanometer may be converted in to ammeter or a voltmeter. In which of the following the resistance of the device so obtained will be largest?
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Question 61 of 66
61. Question
A wire of certain length carries a steady current. It is first bent to form a circular coil of one turn. The same wire is next bent to form a circular coil the three turns. The ratio of magnetic inductions at the centre of the coil in the two cases is
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Question 62 of 66
62. Question
1.5 m long wire carries a current 5A. It experiences a force 7.5 N when place in uniform magnetic field of intensity 2T. The angle between the magnetic field and direction of current is
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Question 63 of 66
63. Question
The equation of an A.C. signal is represented by V = V_{0} sin ωt. In what time the voltage will be half of the maximum value starting from initial time t = 0.
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Question 64 of 66
64. Question
In insulators
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Question 65 of 66
65. Question
In the depletion region of an unbiased pn junction diode, there are
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Question 66 of 66
66. Question
A vertical copper disc of diameter 40 cm makes 30 revolutions per second about a horizontal axis passing through its centre. A uniform field 10^{−2} Wb/m^{2} acts perpendicular to the plane of the disc. Potential difference developed between the centre of the disc and rim of disc is
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