A ray of light falls on a plane mirror. When the mirror is turned, about an axis at right angle to the plane of the mirror through `20^(@)`, the angle between the incident ray and new reflected ray is `45^(@)`. Find the angle between the incident ray and original reflected ray.

Options

A. `15^(@)`
B. `30^(@)`
C. `45^(@)`
D. `60^(@)`

Explanation

To solve the problem, we need to analyze the situation step by step.

### Step 1: Understand the initial setup
When a ray of light strikes a plane mirror, it reflects off the mirror according to the law of reflection, which states that the angle of incidence (i) is equal to the angle of reflection (r).

### Step 2: Define the angles
Let the angle between the incident ray and the normal to the mirror be \( i \). Therefore, the angle of reflection will also be \( i \). The angle between the incident ray and the original reflected ray will be \( 2i \) because the reflected ray is at an angle \( r \) (which equals \( i \)) from the normal.

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