Q. The refractive index of the material of the prism and liquid are 1.56 and 1.32 respectively. What will be the value of $\theta$ for the following refraction
A) $\sin\theta \geq \frac{13}{11}$
B) $\sin\theta \geq \frac{11}{13}$
C) $\sin\theta \geq \frac{\sqrt{3}}{2}$
D) $\sin\theta \geq \frac{1}{\sqrt{2}}$
Explanation
(b) For total internal reflection from surface $BC$
$\theta \geq C \Rightarrow \sin\theta \geq \sin C$
$\Rightarrow \sin\theta \geq \left( \frac{1}{\ _{l}\mu_{g}} \right)$
$\Rightarrow \sin\theta \geq \left( \frac{\mu_{Liquid}}{\mu_{Prism}} \right)$
$\sin\theta \geq \left( \frac{1.32}{1.56} \right) \Rightarrow \sin\theta \geq \frac{11}{13}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.