A ray of light takes time ' t ' to travel a distance ' d ' in air and… | MHT CET 2026 (19 May, Shift 1)

Q4MHT CET 2026 · 19 MAY · SHIFT 1Medium

Total Internal Reflection

A ray of light takes time ' $t$ ' to travel a distance ' $d$ ' in air and it travels a distance ' $4d$ ', in time ' $T$ ' in a certain medium. If $T = 8t$ , the critical angle for the pair of media is

$\left[\sin\left(\frac{\pi}{6}\right) = 0.5, \sin\left(\frac{\pi}{4}\right) = \frac{1}{\sqrt{2}}, \sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}, \sin\left(\frac{\pi}{2}\right) = 1\right]$

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Answer: (d)

Speed in air $c = \frac{d}{t}$ ; speed in medium $v = \frac{4d}{T} = \frac{4d}{8t} = \frac{d}{2t}$ .
$n = \frac{c}{v} = 2$ .
$\sin C = \frac{1}{n} = \frac{1}{2} \Rightarrow C = \frac{\pi}{6}$ .
So the answer is (d) $\frac{\pi^c}{6}$ .

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Total Internal Reflection question from MHT CET 2026 (19 May, Shift 1)

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