Question

Two wave are represented by equation $y_1=a\sin \omega t$ and $y_2=a\cos \omega t$. Then the first wave :

• A. leads the second by$\pi$
• B. lags the second by$\pi$
• C. leads the second by$\frac{\pi }{2}$
• D. lags the second by$\frac{\pi }{2}$

Answer 1

The correct option is D lags the second by$\frac{\pi }{2}$

Given,

$y_1=asin\omega t$

$y_2=acos\omega t$

The phase difference is $\frac{\pi }{2}$

The first wave lags the second wave by $\frac{\pi }{2}$

The correct option is D.