An object is placed at a distance 48 cm from a convex mirror. A plane mirror is placed in between at a distance 16 cm from convex mirror. It is found that virtual images formed by both the mirrors coincide. What is focal length of convex mirror?

Explanation

To solve the problem step by step, we will use the mirror formula and the information provided about the distances of the object and the mirrors.

### Step 1: Identify the given values
- Distance of the object from the convex mirror (u) = -48 cm (the negative sign indicates that the object is in front of the mirror)
- Distance of the plane mirror from the convex mirror = 16 cm
- Therefore, the distance of the plane mirror from the object = 48 cm - 16 cm = 32 cm

### Step 2: Determine the image distance for the plane mirror
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