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Q. When a transverse plane wave tranverses a medium, individual particles execute periodic motion given by equation $y=4 \sin \frac{\pi}{2}\left(2 t+\frac{x}{8}\right)$. The phase difference (in degree) for two position of same particle which are occupied by time intervals $0.4 \,s$ apart is

Waves

Solution:

$\Delta \phi=\frac{2 \pi}{T} \cdot \Delta t=\omega \cdot \Delta t=\pi(0.4)=72^{\circ}$