Question

In a plane progressive harmonic wave

• A. phase difference between displacement and acceleration of particle is zero
• B. phase difference between displacement and acceleration of particle is $\pi$
• C. phase difference between displacement and velocity of particle is$\frac{\pi }{2}$
• D. phase difference between velocity and acceleration of particle is$\frac{\pi }{2}$

Answer 1

Answer: (B), (C), (D)

phase difference between displacement and acceleration of particle is $\pi$
phase difference between displacement and velocity of particle is$\frac{\pi }{2}$
phase difference between velocity and acceleration of particle is$\frac{\pi }{2}$

In a plane progressive harmonic wave the phase difference between displacement and acceleration of particle is $\pi$. $a=-w^{2}x$ for SHM phase difference between displacement and velocity is $\frac{\pi }{2}$ because if $y=a\sin wt$
$V=a\cos wt$
Hence phase difference between velocity and acceleration will be $\frac{\pi }{2}$