When a light ray is refracted from one medium into another, the wave length changes from 4500 $\overset{0}{A}$ to 3000 $\overset{0}{A}$ . The critical angle for a ray from second medium to first medium is

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$\sin^{- 1} (\frac{2}{13})$

$\tan^{- 1} (\frac{3}{2})$

$\tan^{- 1} (\frac{2}{\sqrt{5}})$

$\cos^{- 1} (\frac{2}{3})$

answer is D.

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Detailed Solution

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$\begin{array}{l} μα \frac{1}{λ}, \frac{μ_{R}}{μ_{D}} = \frac{3000}{4500}, \frac{μ_{R}}{μ_{D}} = \frac{2}{3} \\ \sin c = \frac{2}{3}, \tan c = \frac{2}{\sqrt{5}} \end{array}$

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