Three progressive waves `A,B,C` are shown in the figure

With respect to A, the progressive wave

Options

A. `B` lags by `(pi)/(2)` and `C` leads by `(pi)/(2)`
B. `B` lags by `pi` and `C` leads by `pi`
C. `B` leads by `(pi)/(2)` and `C` lags by `(pi)/(2)`
D. `B` leads by `pi` and `C` lags by `pi`

Answer

C

Explanation

Equations of waves A,B and C are respectively
`y_(A)=Asinomegat`, `y_(B)=Asin(omegat+(pi)/(2))`, `y_(C )=Asin(omegat-(pi)/(2))` wave B leads by `(pi)/(2)` and C lags by `(pi)/(2)` than A