A transparent solid cyclindrical rod has a refractive index of

Question:

A transparent solid cyclindrical rod has a refractive index of $\frac{2}{\sqrt{3}}$. It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in the figure. The incident angle $\theta$ for which the light ray grazes along the wall of the rod is :-

  1. $\sin ^{-1}\left(\frac{2}{\sqrt{3}}\right)$

  2. $\sin ^{-1}\left(\frac{1}{\sqrt{3}}\right)$

  3. $\sin ^{-1}\left(\frac{1}{2}\right)$

  4. $\sin ^{-1}\left(\frac{\sqrt{3}}{2}\right)$

Correct Option: , 2

Solution:

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