Question

A thin prism of glass is placed in air and water successively. If $\mu =\frac{3}{2}$and $\mu =\frac{4}{3}$, then the ratio of deviations produced by the prism for a small angle of incidence when placed in air and water is

• A. 4 : 1
• B. 3 : 4
• C. 1 : 1
• D. 9 : 16

Answer 1

The correct option is A 4 : 1

$S=(\mu -1)A$

$S_A=(\frac{3}{2}-1)A=\frac{A}{2}$ ………….$\left(1\right)$

$S_w=(\frac{{\mu }_S}{{\mu }_w}-1)A=(\frac{3}{\frac{2.4}{5}}-1)A$

$=A/S$

$S_a/S_w=4/1$

$\Rightarrow 4:1$.