A simple pendulum, made of a string of length \( l \) and a bob of mass \( m \), is released fro...
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A simple pendulum, made of a string of length \( l \) and a bob of mass \( m \), is released from a small angle \( \theta_{0} \). It strikes a block of mass \( M \), kept on a horizontal surface at its lowest point of oscillations, elastically. It bounces back and goes up to an angle \( \theta_{1} \). Then \( M \) is given by [JEE (Main) 2019]
(a) \( m\left(\frac{\theta_{0}+\theta_{1}}{\theta_{0}-\theta_{1}}\right) \)
(b) \( \frac{m}{2}\left(\frac{\theta_{0}-\theta_{1}}{\theta_{0}+\theta_{1}}\right) \)
(c) \( \frac{m}{2}\left(\frac{\theta_{0}+\theta_{1}}{\theta_{0}-\theta_{1}}\right) \)
(d) \( m\left(\frac{\theta_{0}-\theta_{1}}{\theta_{0}+\theta_{1}}\right) \)
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