A parallel beam of monochromatic light is incident at one surface of a equilateral prism. Angle of incidence is `55^(@)` and angle of emergence is `46^(@)`. The angle of minimum deviation will be

Options

A. Less than `41^(@)`
B. Equal to `41^(@)`
C. More than `41^(@)`
D. None of the above

Answer

A

Explanation

By the hypothesis, we know that
`i_(1)+i_(2)=A+deltaimplies55^(@)+46^(@)=60^(@)+deltaimplies41^(@)`
But `delta_(m) lt delta`, so `delta_(m) lt 41^(@)`