Duration: 4:35

1 views

0

Let one wave travelling along a stretched string be given by
\[
y_{1}(x, t)=y_{m} \sin (k x-\omega t)
\]
\( \mathrm{P} \) and another, shifted from the first, by

W
Both these waves travel in the positive direction of the \( x \)-axis, with the same speed.

The equation of resultant wave due to the two waves is \( y^{\prime}(x, t)= \)
(A) \( 2 y m(\sin \phi)[\sin (k x-\omega t+\phi)] \)
(B) \( y_{m}(\sin \phi)\left[\sin \left(k x-\omega t+\frac{\phi}{2}\right)\right] \)
(C) \( 2 y_{m}\left(\cos \frac{\phi}{2}\right)\left[\sin \left(k x-\omega t+\frac{\phi}{2}\right)\right] \)
(D) \( 2 y_{m}(\cos \phi)[\sin (k x-\omega t+\phi)] \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live