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Practice Test - Physics 13

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Question 1

The potential energy of a 1 kg particle free to move along the positive x-axis is given by
.
The total mechanical energy of the particle is 2 J. Then, the maximum speed (in m/s) is

Question 2

Three sound waves of equal amplitudes have frequencies . They superpose to give beats. The number of beats produced per second will be

Question 3

An initially parallel cylindrical beam travels in a medium of refractive index, where μ0 and μ2 are positive constants and I is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius. The initial shape of the wavefront of the beam is

Question 4

The work done for the cycle shown in given figure, will be
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Question 5

n moles of ideal monoatomic gas undergoes a process in which the temperature changes with volume as T = KV2. If the temperature of the gas changes from T0 to 4T0 then

Question 6

Distance of the center of mass of a solid uniform cone from its vertex is z0. If the radius of its base is R an its height is h then z0 is equal to

Question 7

A piece of copper and another of germanium are cooled from room temperature to 77 K, the resistance of

Question 8

A thin convex lens made from crown glass has focal length f. When it is measured in two different liquids having refractive indices and , it has the focal lengths f1 and f2 respectively. The correct relation between the focal lengths is :

Question 9

Two particles are executing simple harmonic motion of the same amplitude A and frequency ω along the x–axis. Their mean position is separated by distance X0 (X0 > A). If the maximum separation between them is (X0 + A), the phase difference between their motion is

Question 10

A long straight wire of radius a carries a steady current i. The current is uniformly distributed across its cross-section. The ratio of the magnetic field at and 2a is

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Mar 25JEE & BITSAT