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?

Question

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?, sin - 1 ( 10 t 1 t 2 ), sin - 1 t 2 t 1, sin - 1 10 t 2 t 1, sin - 1 t 1 10 t 2

MARKS App · Accepted Answer

Applying Snell's law for refraction from denser to rarer medium, we get μ d e n s e r × sin C = μ a i r × sin 90 ° ⇒ c v d e n s e r sin C = c v a i r × 1 ⇒ c 10 x t 2 sin C = c x t 1 ⇒ sin C = 10 t 1 t 2 ⇒ C = sin - 1 10 t 1 t 2

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