A ray of light is incident normally on one face of a right angled isosceles prism. It then grazes the hypotenuse. The refractive index of the material of the prism is

Question

A ray of light is incident normally on one face of a right angled isosceles prism. It then grazes the hypotenuse. The refractive index of the material of the prism is (A) 1.732 (B) 1.5 (C) 1.414 (D) 1.33

Tardigrade Admin · Accepted Answer

Refractive index, μ = (1/sin C') where C is the critical angle. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/b2370ec7f234e7b77f253f6135bf96c6-.png" /> Here, C = 45° (as shown) μ = (1/sin 45 °) or μ = √2 or μ = 1.414

Q. A ray of light is incident normally on one face of a right angled isosceles prism. It then grazes the hypotenuse. The refractive index of the material of the prism is

1.732

1.5

1.414

1.33

Refractive index, $μ = \frac{1}{s in C ^{'}}$
where C is the critical angle.

Here, $C = 4 5^{\circ}$ (as shown) $μ = \frac{1}{s in 4 5 ^{\circ}}$
or $μ = 2$
or $μ = 1.414$

Q. A ray of light is incident normally on one face of a right angled isosceles prism. It then grazes the hypotenuse. The refractive index of the material of the prism is

1.732

1.5

1.414

1.33

Refractive index, μ=sinC′1​ where C is the critical angle. Here, C=45∘ (as shown) μ=sin45∘1​ or μ=2​ or μ=1.414

Refractive index, $μ = \frac{1}{s in C ^{'}}$
where C is the critical angle.

Here, $C = 4 5^{\circ}$ (as shown) $μ = \frac{1}{s in 4 5 ^{\circ}}$
or $μ = 2$
or $μ = 1.414$