An object 6 cm in size is placed at 50 cm in front of a convex lens of focal length 30 cm. At what distance from the lens should a screen be placed in order to obtain a sharp image of the object? Find the nature and size of the image. Also, draw labelled ray diagram to show the image formation in this case.

Explanation

To solve the problem step by step, we will follow these steps:

### Step 1: Identify the given values
- Object size (height) = 6 cm
- Object distance (u) = -50 cm (negative because the object is on the left side of the lens)
- Focal length (f) = +30 cm (positive for a convex lens)

### Step 2: Use the lens formula
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