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

• A. \[\frac{\pi }{3}\]
• B. \[\frac{\pi }{4}\]
• C. \[\frac{\pi }{6}\]
• D. \[\frac{\pi }{2}\]