A small candle 2.5 cm in size is placed 27 cm in front of a concave mirror of radius of curvature 36 cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image / Describe the nature and size of the image.

Explanation

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

### Step 1: Identify the given values
- Height of the object (candle), \( h_1 = 2.5 \, \text{cm} \)
- Object distance, \( u = -27 \, \text{cm} \) (negative because the object is in front of the mirror)
- Radius of curvature, \( R = -36 \, \text{cm} \) (negative for concave mirrors)

### Step 2: Calculate the focal length (F)
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