Question

A thin hollow prism of refracting angle $3^{\circ }$ , filled with water gives a deviation of $1^{\circ }$. What is the refractive index of water?

Answer 1

Given,

$\delta =1^0$

$A=3^0$

$\mu =?$ refractive index of water

For small angle of $A$ $(<{10}^0)$

$\delta =(\mu -1)A$

$\mu -1=\frac{\delta }{A}=\frac{1}{3}$

$\mu =\frac{1}{3}+1$

$\mu =\frac{4}{3}=1.333$