Question

A ray of light is incident at an angle \( i \) on one face of a prism of small angle \( A \) and emerges normally from the other surface. \( \mu \) is the refractive index of the material of the prism. The angle of incidence is

• A. \( A\mu \)
• B. \( \frac{A}{2\mu} \)
• C. \( \frac{A\mu}{2} \)
• D. \( \frac{A}{\mu} \)

Hint:

For prisms, the angle of incidence is directly proportional to the refractive index and the angle of the prism.

Answer 1

The Correct Option is A

Step 1: Refraction at the faces of the prism.
For a ray of light passing through a prism, the angle of incidence \( i \) is related to the refractive index \( \mu \) and the angle \( A \) of the prism by the equation: \[ i = A \mu \] This formula gives the angle of incidence when the ray emerges normally from the second face of the prism.
Step 2: Conclusion.
Thus, the correct answer is (A) \( A\mu \).