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JIPMER2017PhysicsOscillations

The displacement of a particle along the x -axis is given by x=a ^2 t . The motion of the particle corresponds to

Options

  1. Asimple harmonic motion of frequency /
  2. Bsimple harmonic motion of frequency 3 / 2
  3. Cnon simple harmonic motion
  4. Dsimple harmonic motion of frequency / 2

Correct answer

C. non simple harmonic motion

Step-by-step solution

Given, X= asin ^2 t or X=a ( 1- 2 t 2 ) [ 2 =1-2 ^2 ] or X= a 2 - a 2 t 2 Now, V= d x d t =a 2 t and a=d v / d t=2 a ^2 2 t Here, a is not directly proportional to (-x) which is a condition for SHM.

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