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A particle is executing SHM along a straight line. Its velocities at distances \( \mathrm{x}_{1} \) and \( \mathrm{x}_{2} \) from the mean position are \( \mathrm{V}_{1} \) and \( \mathrm{V}_{2} \), respectively. Its time period is
(a) \( 2 \pi \sqrt{\frac{x_{2}^{2}-x_{1}^{2}}{\mathrm{~V}_{1}^{2}-\mathrm{V}_{2}^{2}}} \)
(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) \( 2 \pi \sqrt{\frac{\mathrm{x}_{1}^{2}-\mathrm{x}_{2}^{2}}{\mathrm{~V}_{1}^{2}-\mathrm{V}_{2}^{2}}} \)
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