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One face of a prism with a refrective an...

One face of a prism with a refrective angle of `30^@` is coated with silver. A ray of light incident on another face at an angle of `45^@` is refracted and reflected from the silver coated face and retraces its path. What is the refractive index of the prism?

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The correct Answer is:
`sqrt(2)`
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