A ray of light (R1) is incident on a glass slab at an angle equal to critical angle of glass-air system. The refracted ray (R2) undergoes partial reflection and refraction at other surface of slab. The angle between the reflected ray (R3) and refracted ray (R4) is

Question

A ray of light (R1) is incident on a glass slab at an angle equal to critical angle of glass-air system. The refracted ray (R2) undergoes partial reflection and refraction at other surface of slab. The angle between the reflected ray (R3) and refracted ray (R4) is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-jhlzm9d08q32cqhn.jpg" /> (A) 45°  (B) 135°  (C) 105°  (D) 95°

Tardigrade Admin · Accepted Answer

( sin 45°/ sin θ)=√2 θ=30° α=180°-(30°+45°)=105°

Q. A ray of light $(R_{1})$ is incident on a glass slab at an angle equal to critical angle of glass-air system. The refracted ray $(R_{2})$ undergoes partial reflection and refraction at other surface of slab. The angle between the reflected ray $(R_{3})$ and refracted ray $(R_{4})$ is

$4 5^{\circ}$

$13 5^{\circ}$

$10 5^{\circ}$

$9 5^{\circ}$

$\frac{s i n 4 5 ^{\circ}}{s i n θ} = 2$
$θ = 3 0^{\circ}$
$α = 18 0^{\circ} - (3 0^{\circ} + 4 5^{\circ}) = 10 5^{\circ}$

Q. A ray of light (R1​) is incident on a glass slab at an angle equal to critical angle of glass-air system. The refracted ray (R2​) undergoes partial reflection and refraction at other surface of slab. The angle between the reflected ray (R3​) and refracted ray (R4​) is

45∘

135∘

105∘

95∘