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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?

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in Physics – Class 11 by (74.2k points)
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

The question was posed to me in class test.

My question is from Oscillations topic in portion Oscillations of Physics – Class 11

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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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