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Question 1 of 50
1. Question
If the cold junction of a thermocouple is kept at 0℃ and the hot junction is kept at T℃, then the relation between neutral temperature (T_{n}) and temperature of inversion (T_{i}) is :
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Question 2 of 50
2. Question
Nickel shows ferromagnetic property at room temperature. If the temperature is increased beyond Curie temperature, then it will show :
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Question 3 of 50
3. Question
In radioactive decay process, the negatively charged emitted βparticles are :
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Question 4 of 50
4. Question
A small coin is resting on the bottom of a beaker filled with a liquid. A ray of light from the coin travels upto the surface of the liquid and moves along its surface (see figure).
How fast is the light travelling in the liquid?
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Question 5 of 50
5. Question
What is the value of inductance L for which the current is a maximum in a series LCR circuit with C = 10 μF and ω = 1000 s⁻¹?
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Question 6 of 50
6. Question
Three point charges +q, −2q and +q are placed at points (x =0, y = a, z = 0), (x = 0, y = 0, z = 0) and (x =a, y = 0, z = 0), respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are :
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Question 7 of 50
7. Question
A nucleus has mass represented by M (A, Z). If M_{p} and M_{n} denote the mass of proton and neutron respectively and BE the binding energy (in MeV), then :
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Question 8 of 50
8. Question
The position x of a particle with respect to time t along xaxis is given by x = 9t^{2} − t^{3} where x is in metre and t in second. What will be the position of this particle when it achieves maximum speed along the +x direction?
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Question 9 of 50
9. Question
The total power dissipated in watts in the circuit shown here is :
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Question 10 of 50
10. Question
In the following circuit, the output Y for all possible inputs A and B is expressed by the truth table :
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Question 11 of 50
11. Question
Assuming the sun to have a spherical outer surface of radius r, radiating, like a black body at temperature t℃, the power received by a unit surface, (normal to the incident rays)at a distance R from the centre of the sun is :
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Question 12 of 50
12. Question
A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are (√3, 3). The path of the particle makes with the xaxis an angle of :
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Question 13 of 50
13. Question
If the nucleus has a nuclear radius of about 3.6 fm, then would have its radius approximately as :
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Question 14 of 50
14. Question
A wheel has angular acceleration of 3.0 rad/s² and an initial angular speed of 2.00 rad/s. In a time of 2 s it has rotated through an angle (in radian) of :
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Question 15 of 50
15. Question
The resistance of an ammeter is 13 Ω and its scale is graduated for a current upto 100 A. After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto 750 A by this meter. The value of shunt resistance is :
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Question 16 of 50
16. Question
Under the influence of a uniform magnetic field a charged particle is moving in a circle of radius R with constant speed v. The time period of the motion :
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Question 17 of 50
17. Question
The primary and secondary coils of a transformer have 50 and 1500 turns respectively. If the magnetic flux ϕ = ϕ₀ + 4t, where ϕ is in weber, t is time in second and ϕ₀ is a constant, the output voltage across the secondary coil is
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Question 18 of 50
18. Question
Two condensers, one of capacity C and the other of capacity C/2, are connected to a V volt battery, as shown.
The work done in charging fully both the condensers is :
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Question 19 of 50
19. Question
A uniform rod AB of length l and mass m is free to rotate about point A. The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about A is ml^{2}/3, the initial angular acceleration of the rod will be :
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Question 20 of 50
20. Question
The frequency of a light wave in a material is 2 × 10^{14} Hz and wavelength is The refractive index of material will be :
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Question 21 of 50
21. Question
In the energy band diagram of a material shown below, the open circles and filled circles denote holes and electrons respectively. The material is a/an :
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Question 22 of 50
22. Question
A car moves from X to Y with a uniform speed v_{u} and returns to Y with a uniform speed v_{d}. The average speed for this round trip is :
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Question 23 of 50
23. Question
A particle executes simple harmonic oscillation with an amplitude a. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is :
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Question 24 of 50
24. Question
A 5 W source emits monochromatic light of wavelength . When placed 0.5 m away, it liberates photoelectrons from a photosensitive metallic surface. When the source is moved to a distance of 1.0 m, the number of photoelectrons liberated will be reduced by a factor of :
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Question 25 of 50
25. Question
A block B is pushed momentarily along a horizontal surface with an initial velocity v. If μ is the coefficient of sliding friction between B and the surface, block B will come to rest after a time :
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Question 26 of 50
26. Question
Two radioactive substances A and B have decay constants 5λ and λ respectively. At t = 0 they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be after a time interval :
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Question 27 of 50
27. Question
A hollow cylinder has a charge q coulomb within it. If ϕ is the electric flux in unit of voltmeter associated with the curved surface B, the flux linked with the plane surface A in unit of voltmeter will be :
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Question 28 of 50
28. Question
A transformer is used to light a 100 W and 110 V lamp from a 220 V mains. If the main current is 0.5 A, the efficiency of the transformer is approximately :
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Question 29 of 50
29. Question
A charged particle (charge q ) is moving in a circle of radius R with uniform speed v. The associated magnetic moment μ is given by :
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Question 30 of 50
30. Question
A particle of mass m moves in the XY plane with a velocity v along the straight line AB. If the angular momentum of the particle with respect to origin O is L_{A} when it is at A and L_{B} when it is at B, then :
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Question 31 of 50
31. Question
The total energy of electron in the ground state of hydrogen atom is −13.6 eV. The kinetic energy of an electron in the first excited state is :
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Question 32 of 50
32. Question
A steady current of 1.5 A flows through a copper voltameter for 10 min. If the electrochemical equivalent of copper is 30 × 10⁻^{5} g C⁻¹, the mass of copper deposited on the electrode will be :
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Question 33 of 50
33. Question
In a mass spectrometer used for measuring the masses of ions, the ions are initially accelerated by an electric potential V and then made to describe semicircular paths of radius R using a magnetic field B. If V and B are kept constant, the ratio will be proportional to :
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Question 34 of 50
34. Question
Three resistances P, Q, R each of 2 Ω and an unknown resistance S form the four arms of a Wheatstone’s bridge circuit. When a resistance of 6 Ω is connected in parallel to S the bridge gets balanced. What is the value of S?
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Question 35 of 50
35. Question
The particle executing simple harmonic motion has a kinetic energy K₀ cos² ωt. The maximum values of the potential energy and the total energy are respectively :
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Question 36 of 50
36. Question
The electric and magnetic field of an electromagnetic wave are :
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Question 37 of 50
37. Question
A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic motion. The spring constant is 200 N/m. What should be the minimum amplitude of the motion, so that the mass gets detached from the pan?
(Take g = 10 m/s²)
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Question 38 of 50
38. Question
Two satellites of earth, S₁ and S₂, are moving in the same orbit. The mass of S₁ is four times the mass of S₂. Which one of the following statements is true?
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Question 39 of 50
39. Question
Charges +q and –q are placed at points A and B respectively which are a distance 2L apart, C is the midpoint between A and B. The work done in moving a charge +Q along the semicircle CRD is :
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Question 40 of 50
40. Question
A beam of electrons passes undeflected through mutually perpendicular electric and magnetic fields. If the electric field is switched off, and the same magnetic field is maintained, the electrons move :
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Question 41 of 50
41. Question
A black body is at 727℃. It emits energy at a rate which is proportional to :
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Question 42 of 50
42. Question
An engine has an efficiency of 1/6. When the temperature of sink is reduced by 62℃, its efficiency is doubled. Temperature of the source is :
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Question 43 of 50
43. Question
Monochromatic light of frequency 6.0 × 10^{14} Hz is produced by a laser. The power emitted is 2 × 10⁻^{3} W. The number of photons emitted, on the average, by the source per second is :
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Question 44 of 50
44. Question
For a cubic crystal structure which one of the following relations indicating the cell characteristic is correct ?
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Question 45 of 50
45. Question
A common emitter amplifier has a voltage gain of 50, an input impedance of 100 Ω and an output impedance of 200 Ω. The power gain of the amplifier is :
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Question 46 of 50
46. Question
The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is :
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Question 47 of 50
47. Question
A vertical spring with force constant k is fixed on a table. A ball of mass m at a height h above the free upper end of the spring falls vertically on the spring, so that the spring is compressed by a distance d. The net work done in the process is :
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Question 48 of 50
48. Question
are two vectors and θ is the angle between them, if the value of θ is :
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Question 49 of 50
49. Question
Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and current I, would be :
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Question 50 of 50
50. Question
A particle moving along xaxis has acceleration f, at time t, given by
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