Question 167: Ray Optics

Question

The refracting angle of a prism is A and refractive index of the material of the prism is cot (A/2). Then the angle of minimum deviation will be -

Accepted Answer

$$\mu  = {{\sin \left( {{{{\delta _m} + A} \over 2}} \right)} \over {\sin (A/2)}} = \cot A/2$$
$$ \Rightarrow \cos A/2 = \sin \left( {{{{\delta _m} + A} \over 2}} \right)$$
$$ \Rightarrow {\pi  \over 2} - {A \over 2} = {{{\delta _m} + A} \over 2}$$
$$ \Rightarrow \pi  - 2A = {\delta _m}$$

Answer

180 $$-$$ 2A

Answer

90 $$-$$ A

Answer

180 + 2A

Answer

180 $$-$$ 3A

Ray Optics

The refracting angle of a prism is A and refractive index of the material of the prism is cot (A/2). Then the angle of minimum deviation will be -

Choose the correct answer: