A ray of light undergoes a deviation of 30° when incident on an equilateral prism of refractive index √2. What is the angle subtended by the ray inside prism with base of prism

Question

A ray of light undergoes a deviation of 30° when incident on an equilateral prism of refractive index √2. What is the angle subtended by the ray inside prism with base of prism (A) 30° (B) 60° (C) 0° (D) 70°

Tardigrade Admin · Accepted Answer

n=( sin ((A+δm/2))/ sin (A / 2)) (60+δm/2)=45° ⇒ δm=30°

Q. A ray of light undergoes a deviation of $3 0^{\circ}$ when incident on an equilateral prism of refractive index $2$ . What is the angle subtended by the ray inside prism with base of prism

$3 0^{\circ}$

$6 0^{\circ}$

$0^{\circ}$

$7 0^{\circ}$

$n = \frac{s i n ( \frac{A + δ _{m}}{2} )}{s i n ( A /2 )}$
$\frac{60 + δ _{m}}{2} = 4 5^{\circ}$
$\Rightarrow δ_{m} = 3 0^{\circ}$

Q. A ray of light undergoes a deviation of 30∘ when incident on an equilateral prism of refractive index 2​. What is the angle subtended by the ray inside prism with base of prism

30∘

60∘

0∘

70∘