An extended real object is placed perpendicular to the principle axis of a concave of focal length `10 cm`, such that the images found is half the size of object
(a) Find the object distance from the lines
(b) Find the image distance from the lens

Explanation

To solve the problem step by step, we will use the concepts of geometrical optics, specifically for concave mirrors.

### Given:
- Focal length of the concave mirror, \( f = -10 \, \text{cm} \) (negative because it is a concave mirror)
- The image size is half the size of the object, which means the magnification \( m = \frac{h_i}{h_o} = \frac{1}{2} \)

### Step 1: Relate magnification to object and image distances
The magnification \( m \) can also be expressed in terms of the object distance \( u \) and the image distance \( v \):
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