Question

light travels from a rarer medium to a denser medium . the angle of incidence and refraction are 45 degree and 30 degree respectively . calculate the refractive index of 2nd medium with respect to the 1st medium.

Answer 1

$$\begin{gathered} Snell\text{'}slawisgivenby: \\ refractiveindexofmedium2withrespecttothemedium1isgivenby: \\ =\frac{Sini}{Sinr} \\ wherei=angleofincidence={45}^0 \\ r=angleofrefraction={30}^0 \\ refractiveindexofmedium2withrespecttothemedium1=\frac{SIn45}{Sin30}=\frac{{\displaystyle \frac{1}{\sqrt{2}}}}{{\displaystyle \frac{1}{2}}} \\ =\sqrt{2}=1.414 \end{gathered}$$