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.

Explanation

Snell's Law
`mu_(a) sin theta_(a) = mu_(0) sin theta_(b)`
`(C)/(V_(a)) sin theta_(A) = (C)/(V_(b)) sin theta_(b)`
`(C)/(V_(a) sin 45^(@) = (C)/(C//3) sin 60^(@)`
`V_(a) = (sqrt(2)C)/(3 sqrt(3))`