A ray of monochromatic light is incident on one refracting face of a prism of angle $$75$$°. It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the material of the prism is $$2$$ , the angle of incidence on the first face of the prism is

Question

A ray of monochromatic light is incident on one refracting face of a prism of angle $$75$$°. It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the material of the prism is $$2$$ , the angle of incidence on the first face of the prism is

Infinity Learn · Accepted Answer

From figure $$A=r1+c=r1+$$$$sin$$−$$11$$μ⇒$$r1=75$$−$$sin$$−$$11$$μ⇒$$75$$−$$45=30oFrom$$   Snell's   law   At  Bμ$$=$$$$sin$$  isin   $$r2$$⇒$$2=$$$$sin$$  isin  $$30o$$⇒$$i=45o$$

A ray of monochromatic light is incident on one refracting face of a prism of angle 75°. It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the material of the prism is $\sqrt{2}$ , the angle of incidence on the first face of the prism is

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A ray of monochromatic light is incident on one refracting face of a prism of angle 75°. It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the material of the prism is 2 , the angle of incidence on the first face of the prism is

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