A ray of light strikes a glass plate at an angle 60°. If the reflected and refracted rays are perpendicular to each other, the index of refraction of glass is

Question

A ray of light strikes a glass plate at an angle 60°. If the reflected and refracted rays are perpendicular to each other, the index of refraction of glass is (A) √3 (B) 3 / 2 (C) √(3 / 2) (D) 1 / 2

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/0fbe1861648abb9adf7d032b2f1c1078-.png" /> Angle N'O T=30° this is found by geometry after putting angle between refleted and transmitted ray equal to 90° μ=( sin i/ sin r)=( sin 60°/ sin 30°) or μ=(√3/2) × (2/1) ∴ μ=√3

Q. A ray of light strikes a glass plate at an angle $6 0^{\circ}$ . If the reflected and refracted rays are perpendicular to each other, the index of refraction of glass is

$3$

$3/2$

$(3/2)$

$1/2$

Angle $N^{'} OT = 3 0^{\circ}$ this is found by geometry after putting angle between refleted and transmitted ray equal to $9 0^{\circ}$
$μ = \frac{s i n i}{s i n r} = \frac{s i n 6 0 ^{\circ}}{s i n 3 0 ^{\circ}}$
or $μ = \frac{3}{2} \times \frac{2}{1}$
$∴ μ = 3$

Q. A ray of light strikes a glass plate at an angle 60∘. If the reflected and refracted rays are perpendicular to each other, the index of refraction of glass is

3​

3/2

(3/2)​

1/2

Angle N′OT=30∘ this is found by geometry after putting angle between refleted and transmitted ray equal to 90∘ μ=sinrsini​=sin30∘sin60∘​ or μ=23​​×12​ ∴μ=3​

Q. A ray of light strikes a glass plate at an angle $6 0^{\circ}$ . If the reflected and refracted rays are perpendicular to each other, the index of refraction of glass is

$3$

$3/2$

$(3/2)$

$1/2$

Angle $N^{'} OT = 3 0^{\circ}$ this is found by geometry after putting angle between refleted and transmitted ray equal to $9 0^{\circ}$
$μ = \frac{s i n i}{s i n r} = \frac{s i n 6 0 ^{\circ}}{s i n 3 0 ^{\circ}}$
or $μ = \frac{3}{2} \times \frac{2}{1}$
$∴ μ = 3$