An object is first placed at a distance of 24 cm from the lens and then at a distance of 16 cm from the lens. If the magnification of the image formed in both the cases is same, determine the focal length of the lens

Explanation

To solve the problem step by step, we need to determine the focal length of the lens given that the magnification of the image formed in both cases is the same.

### Step 1: Understand the Given Information
We have two object distances:
- For the first case, \( U_1 = -24 \, \text{cm} \) (negative because the object is on the same side as the incoming light).
- For the second case, \( U_2 = -16 \, \text{cm} \).

### Step 2: Use the Magnification Formula
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