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Q. The refractive index of a prism is $2$ . The prism can have a maximum refracting angle of

Ray Optics and Optical Instruments

Solution:

Critical angle $ \theta_{c} =\sin ^{-1}\left(\frac{1}{\mu}\right)$
$=\sin ^{-1}\left(\frac{1}{2}\right)=30^{\circ} $
If $A >2 \theta_{ e }$, the ray does not emerge from the prism.
So, maximum angle can be $60^{\circ}$.