Which of the following functions represent SHM :
`sin^(2)omegat`

Explanation

A motion will be SHM if acceleration is directely proportional to its displacement
`a=- omega^(2)y`
`y= sin^(2) omega t`
`rArr (dy)/(dt)=2(sin omega t)(omega cos omega t)`
`= omega sin 2 omega1`,
`(d^(2)y)/(dt^(2))=-2 omega^(2)cos 2omega t, rArr (d^(2)y)/(dt^(2)) prop y`
`:.` It is oscillatory but not SHM.