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

Question

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

Infinity Learn · Accepted Answer

$$sin$$ $$ic=12$$⇒$$ic=45$$° Now,  $$75$$° $$=$$ r $$+$$ $$45$$° or r $$=$$ $$30$$° Now, $$sin$$ isin $$30$$°$$=2$$ or        $$sin$$ i $$=$$ $$2$$×$$12=12$$ ∴        i $$=$$ $$45$$°

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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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