Maximum deflection angle!

A mass \(M\) collides elastically with a stationary mass \(m\). If \((M < m)\), then it is possible for \(M\) to bounce directly backwards. However, if \((M > m)\), then there is a maximum angle of deflection of \(M\). Find the correct relation between \(\theta , m, M\).

(\(\theta\) is the maximum angle of deflection.)

Question Source - Maximum deflection angle

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