when two displacements represented by `y_(1) = a sin(omega t)` and `y_(2) = b cos (omega t)` are superimposed the motion is

Options

A. simple hormonic with amplitude `(a)/(b)`
B. simple harmonic with aplitude `sqrt(a^(2) + b^(2))`
C. simple harmonic with amplitude `((a + b))/(2)`
D. not a simple harmonic

Explanation

`y = y_(1) + y_(2) = a sin (omega t) + b cos (omega t) = sin (omega t) + b sin (omega t + 90^(@))`
`y = A sin (omega t + theta), A = sqrt((a^(2) + b^(2))`