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Question 1 of 45
1. Question
Category: PhysicsA Carnot engine having an efficiency of 1/10 as heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at lower temperature is :
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Question 2 of 45
2. Question
Category: PhysicsThe de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m, is:
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Question 3 of 45
3. Question
Category: PhysicsYoung’s double slit experiment is first performed in air and then in a medium other than air. It is found that 8th bright fringe in the medium lies where 5th dark fringe lies in air. The refractive index of the medium is nearly:
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Question 4 of 45
4. Question
Category: PhysicsThe diagrams below show regions of equipotentials.
A positive charge is moved from A to b in each diagram.CorrectIncorrect -
Question 5 of 45
5. Question
Category: PhysicsA rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?
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Question 6 of 45
6. Question
Category: PhysicsA potentiometer is an accurate and versatile device to make electrical measurements of E.M.F. because the method involves:
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Question 7 of 45
7. Question
Category: PhysicsThe two nearest harmonics of a tube closed at one end and open at other end are 220Hz and 260Hz. What is the fundamental frequency of the system ?
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Question 8 of 45
8. Question
Category: PhysicsTwo cars moving in opposite directions approach each other with speed of 22 m/s and 16.5 m/s respectively. The driver of the first car blows a horn having a frequency 400 Hz. The frequency heard by the driver of the second car is [velocity of sound 340 m/s]:
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Question 9 of 45
9. Question
Category: PhysicsA spherical black body with a radius of 12 cm radiates 450 watt power at 500 K. If the radius were halved and the temperature doubled, the power radiated in watt would be:
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Question 10 of 45
10. Question
Category: PhysicsConsider a drop of rain water having mass 1g falling from a height of 1 km. It hits the ground with a speed of 50 m/s. Take ‘g’ constant with a value 10 m/s2. The work done by the (i) gravitational force the (ii) resistive force of airs is:
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Question 11 of 45
11. Question
Category: PhysicsThe ratio of resolving powers of an optical microscope for two wavelengths λ1 = 4000 A˚ and λ2 = 6000 A˚ is:
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Question 12 of 45
12. Question
Category: PhysicsA capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system:
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Question 13 of 45
13. Question
Category: PhysicsWhich of the following statements are correct?
(a) Centre of mass of a body always coincides with the centre of gravity of the body.
(b) Centre of mass of a body is the point at which the total gravitational torque on the body is zero.
(c) A couple on a body produce both translational and rotational motion in a body.
(d) Mechanical advantage greater than one means that small effort can be used to lift a large load.CorrectIncorrect -
Question 14 of 45
14. Question
Category: PhysicsA thin prism having refracting angle 10o is made of glass of refractive index 1.42. This prism is combined with another thin prism of glass of refractive index 1.7. This combination produces dispersion without deviation. The refracting angle of second prism should be :
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Question 15 of 45
15. Question
Category: PhysicsWhich one of the following represents forward bias diode?
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Question 16 of 45
16. Question
Category: PhysicsA longer solenoid of diameter 0.1m has 2×104 turns per meter. At the center of the solenoid, a coil of 100 turns and radius 0.01m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to 0A from 4A in 0.05s. If the resistance of the coil is 10π2Ω, the total charge flowing through the coil during this time is:
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Question 17 of 45
17. Question
Category: PhysicsThe given electrical network is equivalent to:
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Question 18 of 45
18. Question
Category: PhysicsIn an electromagnetic wave in free space the root mean square value of the electric filed is Erms = 6V/m. The peak value of the magnetic field is:
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Question 19 of 45
19. Question
Category: PhysicsThermodynamic process are indicated in the following diagram.
Match the following:Column – I Column – II P. Process I a. Adiabatic Q. Process II b. Isobaric R. Process III c. Isochoric S. Process IV d. Isothermal CorrectIncorrect -
Question 20 of 45
20. Question
Category: PhysicsThe acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then:CorrectIncorrect -
Question 21 of 45
21. Question
Category: PhysicsThe x and y coordinates of the particle at any time are x = 5t − 2t² and y = 10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t = 2s is:
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Question 22 of 45
22. Question
Category: PhysicsThe ratio of wavelengths of the last line of Balmer series and the last line of Lyman series is:
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Question 23 of 45
23. Question
Category: PhysicsA spring of force constant k is cut into lengths of ratio 1:2:3 They are connected in series and the new force constant is k′. Then they are connected in parallel and force constant is k″. Then k′ : k″ is:
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Question 24 of 45
24. Question
Category: PhysicsTwo astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will.
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Question 25 of 45
25. Question
Category: PhysicsA 250-Turn rectangular coil of length 2.1 cm and width 1.25 cm carries a current of 85 μA and subjected to a magnetic field of strength 0.85 T. Work done for rotating the coil by 180° against the torque is:
CorrectIncorrect -
Question 26 of 45
26. Question
Category: PhysicsAn arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current ‘I’ along the same direction is shown in Fig. Magnitude of force per unit length on the middle wire ‘B’ is given by:
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Question 27 of 45
27. Question
Category: PhysicsIn a common emitter transistor amplifier the audio signal voltage across the collector is 3 V. The resistance of collector is 3 kΩ. If current gain is 100 and the base resistance is 2 kΩ, the voltage and power gain of the amplifier is :
CorrectIncorrect -
Question 28 of 45
28. Question
Category: PhysicsA physical quantity of the dimensions of length that can be formed out of c, G and (e² / 4πε₀) is [c is velocity of light, G is universal constant of gravitation and e is charge]:
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Question 29 of 45
29. Question
Category: PhysicsA gas mixture consists of 2 moles of O₂ and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is
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Question 30 of 45
30. Question
Category: PhysicsSuppose the charge of a proton and an electron differ slightly. One of them is -e, the other is (e+Δe). If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance d (much greater than atomic size) apart is zero, then Δe is of the order of [Given mass of hydrogen mh = 1.67 × 10⁻²⁷Kg]
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Question 31 of 45
31. Question
Category: PhysicsFigure shows a circuit that contains three identical resistors with resistance R = 9.0 Ω each, two identical inductors with inductance L = 2.0 mH each, and an ideal battery with emf ε = 18 V. The current, ‘i’ through the battery just after the switch closed is
CorrectIncorrect -
Question 32 of 45
32. Question
Category: PhysicsTwo discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities ω₁ and ω₂. They are brought into contact face to face coinciding the axis of rotation. The expression for loss coinciding of energy during this process is:
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Question 33 of 45
33. Question
Category: PhysicsIf θ₁ and θ₂ be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip θ is given by
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Question 34 of 45
34. Question
Category: PhysicsA particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particular is at 2 cm from the mean position, the magnitude of its velocity is equal to that its acceleration. Then its time period in seconds is:
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Question 35 of 45
35. Question
Category: PhysicsThe bulk modulus of a spherical objects is ‘B‘. If it is subjected to uniform pressure ‘p‘, the fractional decrease in radius is:
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Question 36 of 45
36. Question
Category: PhysicsThe photoelectric threshold wavelength of silver is 3250 x 10−10m. The velocity of the electron ejected from a silver surface by ultraviolet light of wavelength 2536 x 10−10m is:
(Given h = 4.14 × 10−15 eVs and c = 3 x 108m/s)CorrectIncorrect -
Question 37 of 45
37. Question
Category: PhysicsTwo rods A and B of different materials are welded together as shown in figure. Their thermal conductivity are K1 and K2. The thermal conductivity of the composite rod will be :
CorrectIncorrect -
Question 38 of 45
38. Question
Category: PhysicsPreeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t₁. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t₂. The time taken by her walk up on the moving escalator will be:
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Question 39 of 45
39. Question
Category: PhysicsOne end of string of length l is connected to a particle of mass ‘m’ and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed ‘v’, the net force on the particle (directed towards center) will be (T represents the tension in the string)
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Question 40 of 45
40. Question
Category: PhysicsA beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle θ, the spot of the light is found to move through a distance y on the scale. The angle θ is given by:
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Question 41 of 45
41. Question
Category: PhysicsThe resistance if a wire is ‘R’ ohm. If it is melted and stretched to ‘n’ times its original length, its new resistance will be:
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Question 42 of 45
42. Question
Category: PhysicsRadioactive material ‘A’ has decay constant ‘8λ’ and material ‘B’ has decay constant ‘λ’. Initially they have same number of nuclei of material ‘B’ to that ‘A’ will be 1/e?
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Question 43 of 45
43. Question
Category: PhysicsTwo Polaroids P₁ and P₂ are placed with their axis perpendicular to each other. Unpolarised light I₀ is incident on P₁. A third polaroid P3 is kept in between P₁ and P₂ such that its axis makes an angle 45° with that of P₁. The intensity of transmitted light through P₂ is:
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Question 44 of 45
44. Question
Category: PhysicsA U tube with both end open to the atmosphere is partially filled with water, Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10 mm above the water level on the other side. Meanwhile, the water rises by 65 mm from its original level (see diagram). The density of the oil is:
CorrectIncorrect -
Question 45 of 45
45. Question
Category: PhysicsTwo blocks A and B of masses 3 m and m respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively:
CorrectIncorrect
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