Question 319: Ray Optics

Question

A ray of light passing through a prism ($$\mu$$ = $$\sqrt 3 $$) suffers minimum deviation. It is found that the angle of incidence is double the angle of refraction within the prism. Then, the angle of prism is _____________ (in degrees).

Accepted Answer

For minimum deviation r
1
= r
2
= A/2
given i = 2r
$$\mu  = {{\sin i} \over {\sin r}} = {{\sin 2r} \over {\sin r}}$$
$$ \Rightarrow \cos r = {\mu  \over 2}$$
$$\Rightarrow$$ r = 30$$^\circ$$
$$\Rightarrow$$ A = 60$$^\circ$$

Ray Optics

A ray of light passing through a prism ($\mu = \sqrt 3 $) suffers minimum deviation. It is found that the angle of incidence is double the angle of refraction within the prism. Then, the angle of prism is _____________ (in degrees).

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