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Two particles \( P_{1} \) and \( P_{2} \) are executing SHM along the same straight line, whose equations are given \( x_{1}=A \sin \left(\omega t+\delta_{1}\right) \) and \( x_{2}=A \sin \left(\omega t+\delta_{2}\right) \). An observer on the ground, at \( t=0 \), observes particle \( P_{1} \) at distance \( \frac{A}{\sqrt{2}} \) moving to the right from mean position \( O \) while particle \( P_{2} \) at \( -\frac{\sqrt{3}}{2} A \)
P moving to the left from mean position \( O \), as shown in figure. Find the value of \( \delta_{2}-\delta_{1} \).

W
(a) \( \frac{7 \pi}{12} \)
(b) \( \frac{13 \pi}{12} \)
(c) \( \frac{5 \pi}{6} \)
(d) \( \pi \)
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