The speed of light in a medium whose critical angle is 60° will be
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $2.6 × 10^8 m/s$
The relationship between the critical angle & refractive indices (μ) is -
$\sin θ_c=\frac{μ_2}{μ_1}$
$⇒\sin 60°=\frac{1}{μ_1}⇒μ_1=\frac{2}{\sqrt{3}}≃1.555$
and,
Speed of light, $v=\frac{c}{μ_1}=\frac{3×10^8}{1.555}$
$≃2.6×10^8m/s$