GATE Physics Practice Quiz

Question 1

A particle executes SHM according to x(t)=A cos(omega t+phi). Which statement is always true during the motion?

Accepted Answer

The acceleration is proportional to displacement and opposite in direction.

Question 2

For a mass-spring oscillator of mass m and spring constant k, the time period is T. If the mass is increased to 4m while k remains unchanged, the new time period is

Accepted Answer

2T

Question 3

A particle performs SHM with amplitude A and angular frequency omega. If at t=0 it is at x=A/2 and moving toward the positive extreme, which equation correctly describes the motion?

Accepted Answer

x=A cos(omega t-pi/3)

Question 4

For a particle in SHM, the magnitudes of acceleration at displacements x=A/2 and x=A are in the ratio

Accepted Answer

1 : 2

Question 5

A particle executes SHM with amplitude 8 cm. At what displacement from the mean position is its kinetic energy equal to its potential energy?

Accepted Answer

4sqrt(2) cm

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GATE Physics 2007 2007
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