The function sin^(2) (omegat) represents.

Options

A. a periodic, butnot simple harmonic, motion with a period `2pi//omega`
B. a particle, but not simple harmonic, motion with a period `pi//omega`
C. a simple harmonic motion with a period `2pi//omega`
D. a simple harmonic motion with a period `pi//omega`

Answer

B

Explanation

`y = sin^(2)omegat = (I - cos2omegat)/(2) = 1/2 - 1/2 cos2omegat`
`rArr` motion is SHM with time period `= (2pi)/(2omega) = (pi)/(omega)`