A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the refractive index of the material of the prism is √3, then the angle of incidence is :

Question

A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the refractive index of the material of the prism is √3, then the angle of incidence is : (A) 30° (B) 45° (C) 90° (D) 60°

Tardigrade Admin · Accepted Answer

i = e r1=r2 = (A/2) = 30° 1 × sin i = √3 ×(1/2) = (√3/2) i = 60

Q. A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the refractive index of the material of the prism is $3,$ then the angle of incidence is :

$3 0^{\circ}$

$4 5^{\circ}$

$9 0^{\circ}$

$6 0^{\circ}$

$i = e$
$r_{1} = r_{2} = \frac{A}{2} = 3 0^{\circ}$
$1 \times sin i = 3 \times \frac{1}{2} = \frac{3}{2}$
$i = 60$

Q. A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the refractive index of the material of the prism is 3​, then the angle of incidence is :

30∘

45∘

90∘

60∘