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JEE Revision Plan - Physics 10.1

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Question 1

A pendulum with time period of 1s is losing energy due to damping. At certain time its energy is 45 J. If after completing 15 oscillations, its energy has become 15 J, its damping constant (in) is:

Question 2

The amplitude of a simple pendulum, oscillating in air with a small spherical bob, decreases from 10 cm to 8 cm in 40 seconds. Assuming that Stokes law is valid, and ratio of the coefficient of viscosity of air to that of carbon dioxide is 1.3, the time in which amplitude of this pendulum will reduce from 10 cm to 5 cm in carbondioxide will be close to

Question 3

The angular frequency of the damped oscillator is given by,
where k is the spring constant, m is the mass of the oscillator and r is the damping constant. If the ratio is 8%, the change in the time period compared to the undamped oscillator is approximate as follows :

Question 4

A block of mass 0.1 kg is connected to an elastic spring of spring constant 640 Nm-1 and oscillates in a damping medium of damping constant 10-2 kg s-1. The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to:

Question 5

The total length of a sonometer wire between fixed ends is 110 cm. Two bridges are placed to divide the length of wire in ratio . The tension in the wire is 400 N and the mass per unit length is . What is the minimum common frequency with which three parts can vibrate?

Question 6

A particle which is simultaneously subjected to two perpendicular simple harmonic motions represented by ; and traces a curve given by

Question 7

x and y displacements of a particle are given as any. Its trajectory will look like:

Question 8

A child swinging on a swing in sitting position, Stands up, then the time period of the swing will:

Question 9

A body is in simple harmonic motion with time period half second and amplitude one cm . Find the average velocity in the interval in which it moves from equilibrium position to half of its amplitude.

Question 10

If a spring has time period T, and is cut into n equal parts, then the time period of each part will be:

Question 11

When temperature increases, the frequency of a tuning fork:

Question 12

In an engine the piston undergoes vertical simple harmonic motion with amplitude 7 cm. A washer rests on top of the piston and moves with it. The motor speed is slowly increased. The frequency of the piston in Hz at which the washer no longer stays in contact with the piston, is close to:

Question 13

A simple harmonic oscillator of angular frequency 2 rad s-1 is acted upon by an external force F= sint N. If the oscillator is at rest in its equilibrium position at t=0, its position at later times is proportional to:

Question 14

Two bodies of masses 1 kg and 4 kg are connected to a vertical spring, as shown in the figure. The smaller mass executes simple harmonic motion of angular frequency 25 rad/s, and amplitude 1.6 cm while the bigger mass remains stationary on the ground. The maximum force (in N) exerted by the system on the floor is (take ).

Question 15

Which of the following expressions corresponds to simple harmonic motion along a straight line, where x is the displacement and a, b, c are positive constants?
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Jul 28JEE & BITSAT