A ray of light falls on a transparent sphere with centre at C as shown in figure. The ray emerges from the sphere parallel to line AB. The refractive index of the sphere is

Question

A ray of light falls on a transparent sphere with centre at C as shown in figure. The ray emerges from the sphere parallel to line AB. The refractive index of the sphere is (A) √2 (B) √3 (C) 3/2 (D) 1/2

Tardigrade Admin · Accepted Answer

Deviation by a sphere is 2(i-r) Here deviation δ=60°=2(i-r) or i-r=30° ∴ r=60°-30°=30° ∴ μ=( sin i/ sin r)=( sin 60°/ sin 30°)=√3

Q. A ray of light falls on a transparent sphere with centre at $C$ as shown in figure. The ray emerges from the sphere parallel to line $A B$ . The refractive index of the sphere is

$2$

$3$

3/2

1/2

Deviation by a sphere is $2 (i - r)$
Here deviation $δ = 6 0^{\circ} = 2 (i - r)$
or $i - r = 3 0^{\circ}$
$∴ r = 6 0^{\circ} - 3 0^{\circ} = 3 0^{\circ}$
$∴ μ = \frac{s i n i}{s i n r} = \frac{s i n 6 0 ^{\circ}}{s i n 3 0 ^{\circ}} = 3$

Q. A ray of light falls on a transparent sphere with centre at C as shown in figure. The ray emerges from the sphere parallel to line AB. The refractive index of the sphere is

2​

3​

3/2

1/2

Deviation by a sphere is 2(i−r) Here deviation δ=60∘=2(i−r) or i−r=30∘ ∴r=60∘−30∘=30∘ ∴μ=sinrsini​=sin30∘sin60∘​=3​

Q. A ray of light falls on a transparent sphere with centre at $C$ as shown in figure. The ray emerges from the sphere parallel to line $A B$ . The refractive index of the sphere is

$2$

$3$

Deviation by a sphere is $2 (i - r)$
Here deviation $δ = 6 0^{\circ} = 2 (i - r)$
or $i - r = 3 0^{\circ}$
$∴ r = 6 0^{\circ} - 3 0^{\circ} = 3 0^{\circ}$
$∴ μ = \frac{s i n i}{s i n r} = \frac{s i n 6 0 ^{\circ}}{s i n 3 0 ^{\circ}} = 3$