`P` is small angled prism of angle `3^(@)` made of a material of refractive index `1.5`. A ray of light is incident normally to the mirror as shown in figure. `M` is a plane mirror. The angle of deviation for the ray reflected from the mirror `M` with respect to the incident ray is :

A. `4.5^(@)`
B. `175.3^(@)`
C. `177^(@)`
D. `178.5^(@)`

Options

A. `4.5^(@)`
B. `175.3^(@)`
C. `177^(@)`
D. `178.5^(@)`

Explanation

To solve the problem, we need to find the angle of deviation for a ray of light that passes through a small angled prism and reflects off a plane mirror. Here are the steps to find the solution:

### Step 1: Understand the given values
- The angle of the prism \( A = 3^\circ \)
- The refractive index of the prism material \( \mu = 1.5 \)

### Step 2: Calculate the angle of deviation due to the prism
The formula for the angle of deviation \( D_P \) for a small angle prism is given by:
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