A particle executing harmonic motion is having velocities \( v_{1} \) and \( v_{2} \) at distanc....

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A particle executing harmonic motion is having
\( \mathrm{P} \)
velocities \( v_{1} \) and \( v_{2} \) at distances is \( x_{1} \) and \( x_{2} \) from the equilibrium position. The amplitude of the motion is
W
(1) \( \sqrt{\frac{v_{1}^{2} x_{2}-v_{2}^{2} x_{1}}{v_{1}^{2}+v_{2}^{2}}} \)
(2) \( \sqrt{\frac{v_{1}^{2} x_{1}^{2}-v_{2}^{2} x_{2}^{2}}{v_{1}^{2}+v_{2}^{2}}} \)
(3) \( \sqrt{\frac{v_{1}^{2} x_{2}^{2}-v_{2}^{2} x_{1}^{2}}{v_{1}^{2}-v_{2}^{2}}} \)
(4) \( \sqrt{\frac{v_{1}^{2} x_{2}^{2}-v_{2}^{2} x_{1}^{2}}{v_{1}^{2}+v_{2}^{2}}} \)


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