The motion of a particle varies with time according to the relation `y=a (sinomegat + cos omegat)` ,then

Options

A. the motion is oscillatory but not S.H.M.
B. the motion is S.M.H. with amplitude A
C. the motion is S.M.H. with amplitude `Asqrt(2)`
D. the motion is S.M.H. with amplitude 2 A

Answer

C

Explanation

`R=sqrt(A_(1)^(2)+A_(2)^(2))=sqrt(A^(2)+A^(2))=sqrt(2)A`