A ray of light incident at an angle `theta` on a refracting face of a prism emerges from the other face normally. If the angle of the prism is `5^@` and the prism is made of a material of refractive index `1.5`, the angle of incidence is.

Options

A. `7.5^(@)`
B. `5^(@)`
C. `15^(@)`
D. `2.5^(@)`

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the Geometry of the Prism
We have a prism with an angle \( A = 5^\circ \). A ray of light is incident at an angle \( \theta \) on one face of the prism and emerges normally from the other face.

### Step 2: Identify Angles
When the ray emerges normally from the second face, the angle of refraction \( R_2 = 0^\circ \). The angle of incidence on the second face is equal to the angle of the prism \( A \) minus the angle of refraction \( R_2 \):
\[
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