The source is placed 30 cm from a convex lens which has a focal length of 20cm. The source is initially located on the axis of the lens. The lens is then cut into two halves in a plane along the principal axis. The two halves are separated by a distance of 4mm. What will be the locations of the image of the source?

Explanation

To solve the problem step by step, we will follow the lens formula and consider the effects of cutting the lens into two halves.

### Step 1: Identify the given values
- Object distance (U) = -30 cm (the object is on the same side as the incoming light, hence negative)
- Focal length (F) = +20 cm (for a convex lens, the focal length is positive)

### Step 2: Use the lens formula to find the image distance (V)
The lens formula is given by:
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