The refractive index of glycerine is 1.46. What is the speed of light in air if its speed in glycerine is `2.05 x 10^(8) m//s` ?

Answer

`2.99 xx 10^(8) m//s`

Explanation

Here, `.^(a)n_(g) = 1.46, v_(g) = 2.05 xx 10^(8) m//s, v_(a) = ?`
From `.^(a)n_(g) = (v_(a))/(v_(g)), v_(a) = .^(a)n_(g) xx v_(g) = 1.46 xx 2.05 xx 10^(8)m//s = 2.99 xx 10^(8)m//s`.