Question

When an equilateral prism is immersed in a liquid A of refractive index $\frac{4}{3}$ the angle of minimum deviation is equal to the angle of the prism. If the same prism is immersed in another liquid B, the angle of minimum deviation is 50% of the angle of the prism, then the refractive index of the liquid B is}

• A. $\frac{5}{3}$
• B. $\sqrt{\frac{5}{3}}$
• C. $\frac{8}{3}$
• D. $\frac{8}{3}$

Hint:

For minimum deviation: \[ \mu= \frac{\sin\left(\frac{A+\delta_m}{2}\right)} {\sin\left(\frac{A}{2}\right)} \] This formula is extremely important for prism-based numerical problems.

Answer 1

The Correct Option is B