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Find the speed of light in medium 'a' if...

Find the speed of light in medium 'a' if speed of light in medium 'b' is `c//3`, where c =speed of light in vacuum and light refracts from medium 'a' to medium 'b' making `45^(@)` and `60^(@)`, respectively, with the normal.

Text Solution

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Snell's law:
`mu_asintheta_a=mu_bsintheta_brArrc/(v_a)sintheta_a=c/(v_b)sintheta_b`.
`c/(v_a)sin45^(@)=c/(c//3)sin60^(@)rArr v_(a)=c/3sqrt(2/3)`
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