Read the passage carefully and answer the following questions. The path of a light ray from air to two different media A and B for a given angle of incidence is as shown.

If `n_(A) and n_(B)` are the refractive indices of two media, then

Options

A. `n_(A) = n_(B)`
B. `n_(A) gt n_(B)`
C. `n_(A) lt n_(B)`
D. Cannot be said.

Answer

C

Explanation

`n_(A) = (sin i)/(sin r) = (sin 45^(@))/(sin 45^(@))=1`
`n_(B) = (sin i)/(sin r) = (sin 45^(@))/(sin 30^(@)) = (1)/(sqrt(2)) xx (2)/(1) = sqrt(2) = 1.414`