A glass slab has refractive index ' μ ' with respect to air and the critical angle for a ray of light in going from glass to glass to air is ' θ ' If a ray of light is incident from air on the glass with angle of incidence ' θ ', then the corresponding angle of refraction is (a) sin ⁻¹((1)/(√(μ))) (b) sin ⁻¹(1/μ) (c) sin ⁻¹(1μ²) (d) 90°

Answer: (c). Critical angle glass to air: sin θ = 1/μ. Air to glass at incidence θ: sin θ = μsin r. sin r = 1/μ·1/μ = (1)/(μ²). So the answer is (c) sin ⁻¹((1)/(μ²)).

A glass slab has refractive index ' μ ' with respect to air and the… | MHT CET 2021 (24 Sep, Shift 1)

Q34MHT CET 2021 · 24 SEP · SHIFT 1Medium

Total Internal Reflection

A glass slab has refractive index ' $\mu$ ' with respect to air and the critical angle for a ray of light in going from glass to glass to air is ' $\theta$ ' If a ray of light is incident from air on the glass with angle of incidence ' $\theta$ ', then the corresponding angle of refraction is

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Answer: (c)

Critical angle glass to air: $\sin\theta = \frac{1}{\mu}$ .
Air to glass at incidence $\theta$ : $\sin\theta = \mu\sin r$ .
$\sin r = \frac{1}{\mu}\cdot\frac{1}{\mu} = \frac{1}{\mu^2}$ .
So the answer is (c) $\sin^{-1}\left(\frac{1}{\mu^2}\right)$ .

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Total Internal Reflection question from MHT CET 2021 (24 Sep, Shift 1)

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