A monochromatic light is incident from air on refracting surface of prism of angle 75° and refractive index n 0 = 
. 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 
< 60°. The value of n 2 is_______.
Text Solution
Verified by Experts1.50
(1.50)
When angle of incidence on first face of the prism is 60° the angle of incidence on the other surface of the prism will be slightly greater than critical angle. For refraction at first surface of the prism
For second surface r 2 = 75° - 30° = 45°
Since 
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