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Solutions

Given,
The angle of incident =i
Prism small angle =A
Refractive material of the prism =μ
Let the angle of emergence =e
Now, it is given that the incident ray emerges normally from the opposite surface of the prism so the angle of emergence becomes zero.
⇒∠e = 0 .........(i)
Let angle of deviation in the prime be δ
So, as we know the relation between the angle of deviation (δ), small angle of prism (A) and the refractive index of the prism μ which is given as,
⇒ δ =(μ−1)A .........(ii)
Now, as we know in a prism, a small angle of prism plus an angle of deviation in a prism is equal to the sum of angle of incidence and angle of emergence.
Therefore, we have,
⇒ δ + A= i + e .......(iii)
Now, substitute the value from equation (i) and (ii) in equation (iii) we have,
⇒(μ−1) A+A = i+0
Now, simplify the above equation we have,
⇒μA − A + A = i
Now, cancel out the positive, negative same terms we have,
⇒ i = μA
So, this is the required angle of incidence such that the prism has a small angle A and emerges normally from the opposite surface.
Hence, the correct option is (C).