A thin prism of glass is placed in air and water respectively. If `n_(0) = (3)/(2)` and `n_(w) = (4)/(3)`, then the ratio of deviation produced by the prism for a small angle of incidence when placed in air and water separately is:

Options

A. `9 : 8`
B. `4 :3`
C. `3 :4`
D. `4 :1`

Answer

D

Explanation

`delta_(a)=((3)/(2)-1)xx A=(A)/(2)`
`delta_(w)=((3//2)/(4//3)-1)A=(A)/(8)`
`(delta_(air))/(delta_(water))=(4)/(1)`.