Question

A monochromatic light is incident from air on a refracting surface of a prism of angle and refractive index . The other refracting surface of the prism is coated by a thin film of material of refractive index n as shown in figure. The light suffers total internal reflection at the coated prism surface for an incidence angle of . The value of is ____ .

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Correct option is A)

For T.I.R at coating

Appling snell's law at first surface 

for limiting condition, at





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