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Question 1 of 50
1. Question
If the lattice parameter for a crystalline structure is , then the atomic radius in fcc crystal is
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Question 2 of 50
2. Question
If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be
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Question 3 of 50
3. Question
The electric potential at a point in free space due to a charge Q coulomb is Q × 10¹¹ V. The electric field at that point is
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Question 4 of 50
4. Question
The voltage gain of an amplifier with 9% negative feedback is 10. The voltage gain without feedback will be
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Question 5 of 50
5. Question
The energy required to charge a parallel plate condenser of plate separation d and plate area of crosssection A such that the uniform electric field between the plates is E, is
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Question 6 of 50
6. Question
A roller coaster is designed such that riders experience “weightlessness” as they go round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top of the hill is between
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Question 7 of 50
7. Question
The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is
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Question 8 of 50
8. Question
The work function of a surface of a photosensitive material is 6.2 eV. The wavelength of the incident radiation for which the stopping potential is 5 V lies in the
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Question 9 of 50
9. Question
The ground state energy of hydrogen atom is −13.6 eV. When its electron is in the first excited state, its excitation energy is
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Question 10 of 50
10. Question
A current of 3 A flows through the 2 Ω resistor shown in the circuit. The power dissipated in the 5 Ω resistor is
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Question 11 of 50
11. Question
A p−n photodiode is made of a material with a band gap of 2.0 eV. The minimum frequency of the radiation that can be absorbed by the material is nearly
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Question 12 of 50
12. Question
Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional forces are 10% of energy. How much power is generated by the turbine? (g = 10 m/s²)
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Question 13 of 50
13. Question
On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39°W and 239°W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39℃ on the Celsius scale?
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Question 14 of 50
14. Question
If Q, E and W denote respectively the heat added, change in internal energy and the work done in a closed cycle process, then
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Question 15 of 50
15. Question
Two simple harmonic motions of angular frequency 100 and 1000 rad s⁻¹ have the same displacement amplitude. The ratio of their maximum acceleration is
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Question 16 of 50
16. Question
A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are F₁, F₂ and F₃ respectively and are in the plane of the paper and along the directions shown, the force on the segment QP is
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Question 17 of 50
17. Question
Two radioactive materials X₁ and X₂ have decay constants 5λ and λ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X₁ to that of X₂ will be 1/e after a time
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Question 18 of 50
18. Question
Two thin lenses of focal length f₁ and f₂ are in contact and coaxial. The power of the combination is
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Question 19 of 50
19. Question
The distance travelled by a particle starting from rest and moving with an acceleration ms⁻², in the third second is
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Question 20 of 50
20. Question
The circuit is equivalent to
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Question 21 of 50
21. Question
A particle mass m, charge Q and kinetic energy T enters a transverse uniform magnetic field of induction . After 3 s the kinetic energy of the particle will be
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Question 22 of 50
22. Question
A wire of a certain material is stretched slowly by ten per cent. Its new resistance and specific resistance become respectively
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Question 23 of 50
23. Question
An electric kettle takes 4 A current at 220 V. How much time will it take to boil 1 kg of water from temperature 20℃? The temperature of boiling water is 100℃
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Question 24 of 50
24. Question
In the phenomenon of electric discharge through gases at low pressure, the coloured glow in the tube appears as a result of
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Question 25 of 50
25. Question
A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of 3 × 10⁶ ms⁻¹. The velocity of the particle is
(Mass of electron = 9.1 × 10⁻^{31} kg)
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Question 26 of 50
26. Question
A particle shows distance−time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point
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Question 27 of 50
27. Question
A cell can be balanced against 110 cm and 100 cm of potentiometer wire, respectively with and without being short circuited through a resistance of 10 Ω. Its internal resistance is
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Question 28 of 50
28. Question
If M (A, Z), M_{p} and M_{n} denote the masses of the nucleus proton and neutron respectively in units of u (1u = 931.5 MeV/c²) and BE represents its binding energy in MeV, then
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Question 29 of 50
29. Question
Three forces acting on a body are shown in the figure. To have the resultant force only along the y−direction, the magnitude of the minimum additional force needed is
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Question 30 of 50
30. Question
Two periodic waves of intensities I₁ and I₂ pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is
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Question 31 of 50
31. Question
A shell of mass 200 g is ejected from a gun of mass 4 kg by an explosion that generates 1.05 kJ of energy. The initial velocity of the shell is
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Question 32 of 50
32. Question
A thin conducting ring of radius R is given a charge +Q. The electric field at the centre O of the ring due to the charge on the part AKB of the ring is E. The electric field at the centre due to the charge on the part ACDB of the ring is
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Question 33 of 50
33. Question
The velocity of electromagnetic radiation in a medium of permittivity ε₀ and permeability μ₀ is given by
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Question 34 of 50
34. Question
A point performs simple harmonic oscillation of period T and the equation motion is given by x = a sin (ωt + π/6). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?
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Question 35 of 50
35. Question
A long solenoid has 500 turns. When a current of 2 A is passed through it, the resulting magnetic flux linked with each turn of the solenoid is 4 × 10^{3} Wb. The self−inductance of the solenoid is
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Question 36 of 50
36. Question
A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10 cm. The diameter of the sun is 1.39 × 10^{9} m and its mean distance from the earth is 1.5 × 10^{11} m. What is the diameter of the sun’s image on the paper?
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Question 37 of 50
37. Question
In an AC circuit the emf (e) and the current (i) at any instant are given respectively by
e = E₀ sin ωt
i = I₀ sin (ωt – ϕ)
The average power in the circuit over one cycle of AC is
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Question 38 of 50
38. Question
In the circuit shown, the current through the 4 Ω resistor is 1 A when the points P and M are connected to a DC voltage source. The potential difference between the points M and N is
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Question 39 of 50
39. Question
A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ms⁻¹ to 20 ms⁻¹ while passing through a distance 135 m in t second. The value of t is
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Question 40 of 50
40. Question
A thin rod of length L and M is bent at its midpoint into two halves so that the angle between them is 90°. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is
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Question 41 of 50
41. Question
A circular disc of radius 0.2 m is placed in a uniform magnetic field of induction in such a way that its axis makes an angle of 60° with . The magnetic flux linked with the disc is
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Question 42 of 50
42. Question
A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be
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Question 43 of 50
43. Question
Two points are located at a distance of 10 m and 15 m from the source of oscillation. The period of oscillation is 0.05 s and the velocity of the wave is 300 m/s. What is the phase difference between the oscillations of two points?
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Question 44 of 50
44. Question
Two nuclei have their mass numbers in the ratio of 1 : 3. The ratio of their nuclear densities would be
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Question 45 of 50
45. Question
Sand is being dropped on a conveyor belt at the rate of M kg/s. The force necessary to keep the belt moving with a constant velocity of v m/s will be
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Question 46 of 50
46. Question
The wave described by y = 0.25 sin (10 πx – 2πt), where x and y are in metre and t in second, is a wave travelling along the
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Question 47 of 50
47. Question
Curie temperatures is the temperature above which
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Question 48 of 50
48. Question
At 10℃ the value of the density of fixed mass of an ideal gas divided by its pressure is x. At 110℃ this ratio is
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Question 49 of 50
49. Question
Which two of the following five physical parameters have the same dimensions?
(1) energy density
(2) refractive index
(3) dielectric constant
(4) Young’s modulus
(5) magnetic field
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Question 50 of 50
50. Question
A galvanometer of resistance 50 Ω is connected to a battery of 3 V along with a resistance of 2950 Ω in series. A full scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 20 divisions, the resistance in series should be
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