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A particle is executing SHM along a straight line. Its velocities at distances \( x_{1} \) and \( x_{2} \) from the mean position
\( \mathrm{P} \) are \( v_{1} \) and \( v_{2} \) respectively. Its time period is
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[AIPMT (Cancelled) 2015]
(a) \( 2 \pi \sqrt{\frac{x_{2}^{2}-x_{1}^{2}}{v_{1}^{2}-v_{2}^{2}}} \)
(b) \( 2 \pi \sqrt{\frac{v_{1}^{2}+v_{2}^{2}}{x_{1}^{2}+x_{2}^{2}}} \)
(c) \( 2 \pi \sqrt{\frac{v_{1}^{2}-v_{2}^{2}}{x_{1}^{2}-x_{2}^{2}}} \)
(d) \( 2 \pi \sqrt{\frac{x_{1}^{2}+x_{2}^{2}}{v_{1}^{2}-v_{2}^{2}}} \)
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