Question

Critical angle for a pair of medium is given to be 45°.Find the ratio of the refractive index of rarer medium to denser.

(1) 1 : \(\sqrt{3}\) 

(2) 1: \(\sqrt{2}\) 

(3) 1: 2

(4) 2 :1

Answer 1

Correct Option is (2) \(1:\sqrt{2}\) 

sin C  = \(\frac{\mu_{Rarer}}{\mu_{Denser}}\) 

\(\Rightarrow\) sin45° = \(\frac{\mu_{Rarer}}{\mu_{Denser}}\) 

\(\Rightarrow\) \(\mu_R:\mu_D\) = 1 : \(\sqrt{2}\)