A plane mirror is placed at a distance of 50 cm from a concave mirror of focal length 16 cm. Where should a short object be placed between the mirrors and facing both the mirrors so that its virtual image in the plane mirror coincides with the real image in concave mirror? What is the ratio of the sizes of the two images?

Explanation

To solve the problem, we need to find the position of a short object placed between a concave mirror and a plane mirror such that its virtual image in the plane mirror coincides with the real image formed by the concave mirror. We also need to determine the ratio of the sizes of the two images.

### Step-by-Step Solution:

1. **Identify the Setup**:
- We have a concave mirror with a focal length \( f = -16 \) cm (negative because it's a concave mirror).
- The distance between the concave mirror and the plane mirror is \( 50 \) cm.

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