A concave mirror of focal length 15 cm is placed on a table. An object is placed in front of the mirror at a distance of 45 cm. Another object of half the size is placed in front of the mirror. At what position should be second object placed so that height of both the images formed are same.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the given information
- We have a concave mirror with a focal length (f) of -15 cm (negative because it's a concave mirror).
- The first object (O1) is placed at a distance (u1) of -45 cm from the mirror.
- The second object (O2) is half the size of O1.

### Step 2: Use the mirror formula to find the image distance (v1) for the first object
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