A particle executing simple harmonic motion of from Class Physics Oscillations

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NEET Physics : Oscillations

Multiple Choice Questions

51.

If the length of a pendulum is made 9 times and mass of the bob is made 4 times, then the value of time period becomes :

  • 3 T

  • 3/2T

  • 4T

  • 2T



52.

A simple pendulum of length l has a maximum angular displacement θ. The maximum kinetic energy of the bob is

  • mgl (1-cosθ)

  • 0.5 mgl

  • mgl

  • 0.5 mgl



53.

A pendulum is undergoing SHM with frequency f What is the frequency of its kinetic energy ?

  • f2

  • 2 f

  • 3 f

  • 4 f



54.

The circular motion of a particle with constant speed is

  • simple harmonic but not periodic

  • periodic and simple harmonic

  • neither periodic nor simple harmonic

  • periodic but not simple harmonic



55.

A particle executes simple harmonic oscillation with an amplitude α . The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is

  • T4

  • T8

  • T12

  • T2



56.

A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is

  • 3 Hz

  • 2 Hz

  • 4 Hz

  • 1 Hz



57.

Two equal -ve charges -q are fixed at the point (O, a) and (O, a) on the y-axis. A positive charge Q is released from rest at the point (2a, 0) on the x-axis. The charge will :

  • execute SHM about the origin

  • move to the origin and remain at rest

  • move to infinity

  • execute oscillatory but not SHM



58.

Two simple pendulums of length 0.5 m and 20 m respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has
completed x oscillations, where k is

  • 1

  • 3

  • 2

  • 5



59.

Equations of motion in the same direction are given by

y1 =2α sinωt -kx   y2 =2α sinωt -kx-θ 

The amplitude of the medium particle will be

  • 2α cosθ

  • 2α cosθ

  • 4α cosθ2

  • 2α cosθ2



60.

Given that y = A sin  2πλ ct - x  , where y and x are measured in metre. Which of the following statements is true?

  • The unit of λ is same as that of x and A

  • The unit of λ is same as that of x but not of A

  • The unit of c is same as that of 2πλ

  • The unit of ( ct - x ) is same as that of 2πλ



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