Light travels a distance x in time t 1 in air and 10 x in time t 2 in another denser medium. What is the critical angle for this medium?

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Aicharya · Accepted Answer

Applying Snell's law for refraction from denser to rarer medium, we get

$μ_{d e n s e r} \times \sin C = μ_{a i r} \times \sin 90 ° \Rightarrow \frac{c}{v_{d e n s e r}} \sin C = \frac{c}{v_{a i r}} \times 1 \Rightarrow \frac{c}{\frac{10 x}{t_{2}}} \sin C = \frac{c}{\frac{x}{t_{1}}} \Rightarrow \sin C = \frac{10 t_{1}}{t_{2}} \Rightarrow C = \sin^{- 1} (\frac{10 t_{1}}{t_{2}})$

Light travels a distance x in time t 1 in air and 10 x in time t 2 in another denser medium. What is the…

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