An object of mass 4 kg is moving along X-axis and its potential energy as a function of x can be expressed as U(x) = 4 (1- cos 2x) joule then time period for small oscillations is:

An object of mass 4 kg is moving along X-axis and its potential energy as a function of x can be expressed as U(x) = 4 (1- cos 2x) joule then time period for small oscillations is:

  1. A

    π2 sec

  2. B

    π4 sec

  3. C

    π sec

  4. D

    3π2 sec

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    Solution:

    F=-dUdx=-4×2 sin 2x For small oscillations, sin 2x2x                              F=-16xa=Fm=-4x                               ω2=4T=π sec

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