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

Options

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

`sin^(2) wt=(1-cos2" wt")/(2)=(1)/(2)-(1)/(2)cos2` wt
`implies` Motion is periodic but not SHM.
So the correct choice is (b).