Two plane mirrors are inclined to each other at an angle `60^(@)` if a ray of light incident on first mirror parallel to the second mirror, it is reflected from the second mirror

Options

A. Perpendicular to the first mirror
B. Parallel to the first mirror
C. Parallel to the second mirror
D. Perpenicualr to the second mirror

Explanation

To solve the problem of the ray of light reflecting off two inclined mirrors, we can follow these steps:

### Step 1: Understand the Setup
We have two plane mirrors inclined at an angle of \(60^\circ\) to each other. A ray of light is incident on the first mirror parallel to the second mirror.

### Step 2: Draw the Diagram
Draw two inclined mirrors. Label the first mirror as Mirror 1 and the second mirror as Mirror 2. Indicate the angle of inclination between the mirrors as \(60^\circ\). Draw the incident ray parallel to Mirror 2, striking Mirror 1.

### Step 3: Identify Angles
Since the incident ray is parallel to Mirror 2, the angle between the incident ray and the normal to Mirror 1 is \(30^\circ\) (because the total angle between the two mirrors is \(60^\circ\), and the incident ray makes an angle of \(60^\circ\) with Mirror 2).

### Step 4: Apply the Law of Reflection
According to the law of reflection, the angle of incidence is equal to the angle of reflection. Therefore, the angle of reflection from Mirror 1 is also \(30^\circ\).

### Step 5: Determine the Path of the Reflected Ray
After reflecting off Mirror 1, the ray travels towards Mirror 2. The angle of incidence at Mirror 2 is again \(30^\circ\) (since the angle between the reflected ray and the normal to Mirror 2 is \(30^\circ\)).

### Step 6: Reflect from the Second Mirror
Using the law of reflection again, the angle of reflection from Mirror 2 will also be \(30^\circ\).

### Step 7: Analyze the Final Position of the Reflected Ray
Now, we need to determine the relationship between the reflected ray and the mirrors. The reflected ray from Mirror 2 will make an angle of \(60^\circ\) with Mirror 1 (because the angle between the two mirrors is \(60^\circ\) and the ray is reflected at \(30^\circ\)).

### Step 8: Conclusion
Since the reflected ray from Mirror 2 is at an angle of \(60^\circ\) to Mirror 1, it is parallel to Mirror 1.

### Final Answer
The ray of light is reflected from the second mirror parallel to the first mirror.

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