A ray of light incident on one of the face of a prism as shown. After refraction through this surface ray is incident on base of the prism. The refractive index of the prism is `sqrt(3)`. The net deviation of the ray due to prism is

Options

A. `60^(@)` clockwise
B. `104^(@)` clockwise
C. `104^(@)` anticlockwise
D. `166^(@)` clockwise

Answer

D

Explanation

`1.sin60^(@)=sqrt(3)sinthetaimpliesr=30^(@)`
Total deviation `=(60-30^(@))+(180-2xx37^(@))+(60^(@)-30^(@))`
`=166^(@)` clockwise