Which of the following is not simple harmonic function ?

Options

A. y=` a sin 2`omega`t+b cos^(2)``omega`t
B. y=` a sin` omegat`+b` cos^(2)`omega`t
C. y= `1-2 sin^(2)``omegat`
D. y=`(sqrt(a^(2)+b^(2)))` is `omegat cos omegat`

Answer

B

Explanation

Motion in B is superposition of two SHMs of different frequencies. Hence it is period but not SHm,motion in A,C,D are SHMs with angular frequency `2omega`.