Question

Two wave are represnted by the equations $y_1=asin\omega tand{y}_2=acos\omega t$ . 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,

$y_1=a\sin \omega t$

$y_2=a\cos \omega t$

$=a\sin (\omega t+\pi /2)$

So, $y_1$ lags $y_2$ by $\pi /2$.

So, the correct option will be $\left(D\right)$