In the diagram the ray passing through prism is parallel to the base. Refractive index of material of prism is

Question

In the diagram the ray passing through prism is parallel to the base. Refractive index of material of prism is (A) (√3/2) (B) √3 (C) √2 (D) √(3/2)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/0abf72444713e2a49d27668fcd17d586-.png" /> By geometry r=45° [Alternate angles] μ=( sin 60°/ sin 45°)=(√3/2) × √2 μ=√(3/2)

Q. In the diagram the ray passing through prism is parallel to the base. Refractive index of material of prism is

$\frac{3}{2}$

$3$

$2$

$\frac{3}{2}$

By geometry $r = 4 5^{\circ}$
[Alternate angles]
$μ = \frac{s i n 6 0 ^{\circ}}{s i n 4 5 ^{\circ}} = \frac{3}{2} \times 2$
$μ = \frac{3}{2}$

Q. In the diagram the ray passing through prism is parallel to the base. Refractive index of material of prism is

23​​

3​

2​

23​​

By geometry r=45∘ [Alternate angles] μ=sin45∘sin60∘​=23​​×2​ μ=23​​

$\frac{3}{2}$

$3$

$2$

$\frac{3}{2}$

By geometry $r = 4 5^{\circ}$
[Alternate angles]
$μ = \frac{s i n 6 0 ^{\circ}}{s i n 4 5 ^{\circ}} = \frac{3}{2} \times 2$
$μ = \frac{3}{2}$