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MHT CET 2024 (16 May, Shift 1) · Refraction, Glass Slab & Apparent Depth

Refraction, Glass Slab & Apparent Depth question from MHT CET 2024 (16 May, Shift 1)

Q21MHT CET 2024 · 16 MAY · SHIFT 1Medium

Refraction, Glass Slab & Apparent Depth

The angle of incidence is found to be twice the angle of refraction when ray of light passes from vacuum into a medium of refractive index ' $\mu$ '. The angle of incidence will be

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Answer: (b)

Snell's law with $i = 2r$ : $\mu = \dfrac{\sin 2r}{\sin r} = 2\cos r$ .
$r = \cos^{-1}\left(\dfrac{\mu}{2}\right)$ .
$i = 2r = 2\cos^{-1}\left(\dfrac{\mu}{2}\right)$ .
So the answer is (b).

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