A convering lens has a focal length of 40 cm . Calculate the size of the real image of an object, 4.0 cm in height, for the object distance:
200 cm
Given `f = 40 cm, h _(0) = 4 cm, and u` in different cases. Find: `h _(1)` in each case correspoinding to the given value of u.

Explanation

To solve the problem step by step, we will use the lens formula and the magnification formula.

### Given Data:
- Focal length of the lens, \( f = 40 \, \text{cm} \)
- Height of the object, \( h_0 = 4 \, \text{cm} \)
- Object distance, \( u = -200 \, \text{cm} \) (The negative sign indicates that the object is on the same side as the incoming light)

### Step 1: Use the Lens Formula
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