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Question 1 of 45
1. Question
An electron moving in a circular orbit of radius r makes n rotations per second. The magnetic field produced at the centre has magnitude :
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Question 2 of 45
2. Question
One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure,
The change in internal energy of the gas during the transition is :
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Question 3 of 45
3. Question
When two displacements represented by y_{1} = asin(ωt) and y_{2} = b cos(ωt) are superimposed the motion is :
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Question 4 of 45
4. Question
A particle of unit mass undergoes onedimensional motion such that its velocity varies according to v(x) = βx^{−2n}where β and n are constants and x is the position of the particle. The acceleration of the particle as a function x, is given by :
CorrectIncorrect 
Question 5 of 45
5. Question
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Question 6 of 45
6. Question
In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?
CorrectIncorrect 
Question 7 of 45
7. Question
For a parallel beam of monochromatic light of wavelength ‘λ’, diffraction is produced by a single slit whose width ‘a’ is of the order of the wavelength of the light. If ‘D’ is the distance of the screen from the slit, the width of the central maxima will be :
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Question 8 of 45
8. Question
Across a metallic conductor of nonuniform cross section a constant potential difference is applied. The quantity which remains constant along the conductor is :
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Question 9 of 45
9. Question
On observing light from three different stars P, Q and R, it was found that intensity of violet color is maximum in the spectrum of P, the intensity of green colour is maximum in the spectrum of R and the intensity or red colour is maximum in the spectrum of Q. If T_{P}, T_{Q} and T_{R} are the respective absolute temperatures of P, Q and R, then it can be concluded from the above observation that :
CorrectIncorrect 
Question 10 of 45
10. Question
A potentiometer wire has length 4 m and resistance 8Ω. The resistance that must be connected in series with the wire and an accumulator of e.m.f. 2V, so as to get a potential gradient 1 mV per cm on the wire is :
CorrectIncorrect 
Question 11 of 45
11. Question
Consider 3^{rd} orbit of He^{+} (Helium), using nonrelativistic approach, the speed of electron in this orbit will be [given K = 9 × 10^{9} constant, Z = 2 and h(Planck’s Constant) = 6.6 ×10^{−34} J s]
CorrectIncorrect 
Question 12 of 45
12. Question
A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to Xaxis while semicircular portion of radius R is lying in YZ plane. Magnetic field at point O is :
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Question 13 of 45
13. Question
Which of the following figures represent the variation of particle momentum and the associated deBroglie wavelength?
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Question 14 of 45
14. Question
A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?
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Question 15 of 45
15. Question
The fundamental frequency of a closed organ pipe of length 20 cm is equal to the second overtone of an organ pipe open at both the ends. The length of organ pipe open at both the ends is :
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Question 16 of 45
16. Question
The refracting angle of a prism is A, and refractive index of the material of the prism is cot(A/2). The angle of minimum deviation is :
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Question 17 of 45
17. Question
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Question 18 of 45
18. Question
A Carnot engine, having an efficiency of 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 19 of 45
19. Question
A certain metallic surface is illuminated with monochromatic light of wavelength, λ. The stopping potential for photoelectric current for this light is 3V_{0}. If the same surface is illuminated with light of wavelength 2λ, the stopping potential is V_{0}. The threshold wavelength for this surface for photoelectric effect is :
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Question 20 of 45
20. Question
A radiation of energy ‘E’ falls normally on a perfectly reflecting surface. The momentum transferred to the surface is (C = Velocity of light :
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Question 21 of 45
21. Question
A mass m moves in a circle on a smooth horizontal plane with velocity v_{0} at a radius R_{0}. The mass is attached to a string which passes through a smooth hole in the plane as shown.
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Question 22 of 45
22. Question
Two identical thin planoconvex glass lenses (refractive index 1.5) each having radius of curvature of 20 cm are placed with their convex surfaces in contact at the centre. The intervening space is filled with oil of refractive index 1.7. The focal length of the combination is :
CorrectIncorrect 
Question 23 of 45
23. Question
A block A of mass m_{1} rests on a horizontal table. A light string connected to it passes over a frictionless pulley at the edge of table and from its other end another block B of mass m_{2} is suspended. The coefficient of kinetic friction between the block and the table is μ_{k}. When the block A is sliding on the table, the tension in the string is :
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Question 24 of 45
24. Question
A particle is executing SHM along a straight line. Its velocities at distances x_{1} and x_{2} from the mean position are V_{1} and V_{2}, respectively. Its time period is :
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Question 25 of 45
25. Question
A ship A is moving Westwards with a speed of 10 km h^{−1} and a ship B 100 km South of A, is moving Northwards with a speed of 10 kmh^{−1}. The time after which the distance between them becomes shortest, is :
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Question 26 of 45
26. Question
A rod of weight W is supported by two parallel knife edges A and B and is in equilibrium in a horizontal position. The knives are at a distance d from each other. The centre of mass of the rod is at distance x from A. The normal reaction on A is :
CorrectIncorrect 
Question 27 of 45
27. Question
The approximately depth of an ocean is 2700 m. The compressibility of water is 45.4 × 10^{−11} Pa^{−1} and density of water is 10^{3} kg/m^{3}. What fractional compression of water will be obtained at the bottom of the ocean?
CorrectIncorrect 
Question 28 of 45
28. Question
Two particles of masses m_{1}, m_{2} move with initial velocities u_{1} and u_{2}. On collision, one o the particles get excited to higher level, after absorbing energy ε. If final velocities of particles be v_{1} and v_{2} then we must have :
CorrectIncorrect 
Question 29 of 45
29. Question
Kepler’s third law states that square of period of revolution (T) of a plant around the sun, is proportional to third power of average distance r between sun and planet
i.e. T^{2} = Kr^{3}
here K is constant.
If the masses of sun and planet are M and m respectively then as per Newton’s law of gravitation force of attraction between them is
here G is gravitational constant. The relation between G and K is described as :CorrectIncorrect 
Question 30 of 45
30. Question
A block of mass 10 kg, moving in x direction with a constant speed of 10 ms^{−1}, is subjected to a retarding force F = 0.1 x J/m during its travel from x = 20 m to 30 m. Its final KE will be :
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Question 31 of 45
31. Question
A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is 250 m^{2}. Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be :
(ρ_{air }= 1.2 kg/m^{3})
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Question 32 of 45
32. Question
Two spherical bodies of mass M and 5 M and radii R and 2 R are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is :
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Question 33 of 45
33. Question
A resistance ‘R’ draws power ‘P’ when connected to an AC source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes ‘Z’, the power drawn will be:
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Question 34 of 45
34. Question
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Question 35 of 45
35. Question
Figure below shows two paths that may be taken by a as to go rom a state A to a state C.
In process AB, 400 J of heat is added to the system and in process BC, 100 J of heat is added to the system. The heat absorbed by the system in the process AC will be :
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Question 36 of 45
36. Question
If energy (E) , velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be :
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Question 37 of 45
37. Question
If in a pn junction, a square input signal of 10 V is applied as shown,
Then the output across R_{L} will be :
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Question 38 of 45
38. Question
Three blocks A, B and C of masses 4 kg, 2 kg and 1 kg respectively, are in contact on a frictionless surface, as shown. If a force of 14 N is applied on the 4 kg block, then the contact force between A and B is :
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Question 39 of 45
39. Question
A, B and C are voltmeters of resistance R, 1.5 R and 3R respectively as shown in the figure. When some potential difference is applied between X and Y, the voltmeter readings are V_{A}, V_{B} and V_{C} respectively. Then :
CorrectIncorrect 
Question 40 of 45
40. Question
Three identical spherical shells, each of mass ma and radius r are placed as shown in figure. Consider an axis XX’ which is touching to two shells and passing through diameter of third shell.
Moment of inertia of the system consisting of these three spherical shells about XX’ axis is :
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Question 41 of 45
41. Question
The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius ‘a’ centred at the origion of the field, will be given by :
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Question 42 of 45
42. Question
The two ends of a metal rod are matainted at temperatures 100℃ and 110℃. The rate of heat flow in the rod is found to be 4.0 J/s. If the ends are maintained at temperatures 200℃ and 210℃, the rate of heat flow will be :
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Question 43 of 45
43. Question
Two similar springs P and Q have spring constants K_{P} and K_{Q}, such that K_{P} > K_{Q}. They are stretched, first by the same amount (case a,) then by the same force (case b). The work done by the springs W_{P} and W_{Q} are related as, in case (a) and case (b), respectively :
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Question 44 of 45
44. Question
A conducting square frame of side ‘a’ and a long straight wire carrying current I are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity ‘V’. The emf induced in the frame will be proportional to :
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Question 45 of 45
45. Question
A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest the force on the particle at time t is :
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