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

$$\dfrac{\pi}{3}$$

B

$$\dfrac{\pi}{4}$$

C

$$\dfrac{\pi}{6}$$

D

$$\dfrac{\pi}{2}$$