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Q.

Two transparent media A and B are separated by a plane boundary. The speed of light in those media are1.5 x 10⁸ m/s and 2.0 x 10⁸ m/s, respectively. The critical angle for a ray of light for these two media is:

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a

$\tan^{- 1} (0 .750)$

b

$\sin^{- 1} (0 .500)$

c

$\sin^{- 1} (0 .750)$

d

$\tan^{- 1} (0 .500)$

answer is A.

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Detailed Solution

$\begin{array}{l} \sin θ_{c} = \frac{μ_{R}}{μ_{D}} = \frac{V_{D}}{V_{R}} = \frac{1.5}{2} = 0.75 \\ θ_{c} = \sin^{- 1} (0 .75) \end{array}$

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