NEET Physics Simple Harmonic Motion NEET PYQ-Simple Harmonic Motion

The phase difference between displacement and acceleration of a particle in a simple harmonic motion is: [NEET 2020]

A) \[\frac{3\pi }{2}\text{rad}\]

B)      \[\frac{\pi }{2}\text{rad}\]

C) zero

D)      \[\pi \text{ rad}\]

Correct Answer: D

Solution :

[d] If \[y=A\,\,\sin \,\omega t\]

then \[v=\frac{dy}{dt}\]

\[v=A\,\omega \,\,\cos \,\omega t\]

\[a=\frac{dv}{dt}\]

\[a=-A\,{{\omega }^{2}}\sin \,(\omega t)\]

\[a=A\,{{\omega }^{2}}\sin \,(\omega t+\pi )\]

So phase difference between displacement and acceleration is \[\pi \].