Radius of the Moon is `1.74 xx 10^(6)` m and its distance from the Earth is `3.82 xx 10^(8)`m. A concave mirror of focal length 20 m is used to form the image of the Moon. What will be the radius of the image of the Moon?

Explanation

To find the radius of the image of the Moon formed by a concave mirror, we can follow these steps:

### Step 1: Identify the Given Values
- Radius of the Moon (Ro) = \(1.74 \times 10^6\) m
- Distance of the Moon from Earth (u) = \(3.82 \times 10^8\) m (but since the object is on the same side as the incoming light, we take it as negative)
- Focal length of the concave mirror (f) = -20 m (negative for concave mirrors)

### Step 2: Use the Mirror Formula
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