question_answer

Two particles are executing simple harmonic motion of the same amplitude A and frequency \[\omega \] along the x-axis. Their mean position is separated by distance \[{{X}_{0}}({{X}_{0}}>A)\]. If the maximum separation between them is  \[({{X}_{0}}+A)\], the phase difference between their motion is                             [AIEEE 2011]

A)  \[\frac{\pi }{6}\]           

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

C)  \[\frac{\pi }{3}\]           

D)       \[\frac{\pi }{4}\]

Correct Answer: C

Solution :

[c]

Separation

Maximum separation