The critical angle for a denser-rarer interface is 45°. The speed of light in rarer medium is 3 × 10⁸ m/s. The speed of light in the denser medium is: (a) 2.12 × 10⁸ m/s (b) 5 × 10⁷ m/s (c) √(2) × 10⁸ m/s (d) 3.12 × 10⁷ m/s

Answer: (a). sin C = (μr)/(μd) = (vd)/(vr). vd = vrsin 45° = (3 × 10⁸)/(√(2)) = 2.12 × 10⁸ m/s So the answer is (a) 2.12 × 10⁸ m/s.

The critical angle for a denser-rarer interface is 45°. The speed of… | JEE Main 2023 (11 Apr, Shift 1)

Q21JEE Main 2023 · 11 APR · SHIFT 1Easy

Total Internal Reflection

The critical angle for a denser-rarer interface is $45^\circ$ . The speed of light in rarer medium is $3 \times 10^{8}\text{ m/s}$ . The speed of light in the denser medium is:

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Answer: (a)

$\sin C = \frac{\mu_r}{\mu_d} = \frac{v_d}{v_r}$ .
$v_d = v_r\sin 45^\circ = \frac{3 \times 10^8}{\sqrt{2}} = 2.12 \times 10^8\text{ m/s}$
So the answer is (a) $2.12 \times 10^8\text{ m/s}$ .

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