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

Options

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

Answer

A

Explanation

`sin^(2)omegat=(1)/(2)(1-cos2omegat)`
This is an SHM with period `(2pi)/(2omega)=(pi)/(omega)`. Its equilibrium position is at `(1)/(2)` instead of zero.