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What is the time period of kinetic energy of a particle in SHM,if the time period of SHM is 4s?

(a) 2s

(b) 1s

(c) 4s

(d) 0s

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Right option is (a) 2s

The explanation is: The kinetic energy of a particle in SHM is given by:

0.5mA^2w^2cos^2(wt + a), where a is the phase constant.

cos^2(wt + a) = (1 + cos2(wt+a))/2.

Therefore the time period of oscillation of kinetic energy is 4/2 = 2s.

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