Problem in prism

Classical Mechanics Level pending

The principal section of glass prism is an isosceles \(\triangle PQR\) with \(PQ = PR\) . The face \(PR\) is silvered. A ray is incident perpendicularly on face \(PQ\) and after two reflections, it emerges from base \(QR\), normal to it. The angle of the prism is given by \(\dfrac{\pi}{\alpha}\) rad. Find the value of \(\alpha\)

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