The displacement equation of a particle of medium during wave mation is given by
`y=A sin omega t-B cos omega t`
The amplitude of the oscillator will be

Options

A. `A-B`
B. `A+B`
C. `sqrt(A^(2)+B^(2))`
D. `(A^(2)+B^(2))`

Answer

C

Explanation

`y = A sin omega t - B cos omega t`
`= sqrt(A^(2)+ B^(2))[(A)/(sqrt(A^(2) + B^(2))) "sin" omegat - (B)/(sqrt(A^(2) + B^(2))) .cos omegat]`
`= sqrt(A^(2) + B^(2)).sin (omegat-alpha)`