How many images are formed for a point object kept in between the two plane mirrors at right angles to each other? Show them by drawing a ray diagram.

Answer

To determine how many images are formed for a point object placed between two plane mirrors that are positioned at right angles to each other, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have two plane mirrors positioned at a right angle (90 degrees) to each other.
- A point object (let's call it O) is placed between these two mirrors.

2. **Identifying the Mirrors**:
- Label the two mirrors as Mirror 1 (M1) and Mirror 2 (M2).
- M1 is vertical, and M2 is horizontal.

3. **Drawing the Ray Diagram**:
- Draw the point object O in the middle of the angle formed by the two mirrors.
- From the point object O, draw two rays: one ray towards Mirror 1 and another ray towards Mirror 2.

4. **Reflection from the Mirrors**:
- The ray that hits Mirror 1 will reflect off at the same angle it approached (angle of incidence = angle of reflection).
- Similarly, the ray that hits Mirror 2 will also reflect off at the same angle.

5. **Finding the Images**:
- The first image (I1) will be formed directly behind Mirror 1, as if the object O is reflected across M1.
- The second image (I2) will be formed directly behind Mirror 2, as if the object O is reflected across M2.
- The third image (I3) will be formed at the intersection of the two reflected rays from M1 and M2. This is where the two rays from O meet after reflecting off both mirrors.

6. **Counting the Images**:
- Thus, we have three images in total: I1, I2, and I3.

### Ray Diagram:
- Draw the two mirrors at right angles.
- Mark the position of the point object O.
- Draw the rays reflecting off each mirror and indicate where the images I1, I2, and I3 are formed.

### Final Answer:
- The total number of images formed is **3**.

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