Question

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 \ge \frac{13}{11} $
• B. $ \sin \theta \ge \frac{11}{13} $
• C. $ \sin \theta \ge \frac{\sqrt{3}}{2} $
• D. $ \sin \theta \ge \frac{1}{\sqrt{2}} $

Answer 1

Answer: (B)

Using the formula $ {{\mu }_{prism}}=\frac{{{\mu }_{liquid}}}{{{\mu }_{prism}}}=\frac{1.32}{1.56}=\frac{11}{13} $ ??(i) Now, the condition for the total internal reflection, occurs when $ \sin \theta \ge \mu $ So, $ \sin \theta \ge \frac{11}{13} $