The focal length of objective and eye lens of a astronomical telescope are respectively `2m` and `5 cm` . Final image is formed at `(i)` least distance of distinct vision `(ii)` infinity. The magnifying power in both cases will be

Explanation

To solve the problem of finding the magnifying power of an astronomical telescope when the final image is formed at the least distance of distinct vision and at infinity, we will follow these steps:

### Given Data:
- Focal length of the objective lens, \( f_o = 2 \, \text{m} = 200 \, \text{cm} \)
- Focal length of the eyepiece lens, \( f_e = 5 \, \text{cm} \)
- Least distance of distinct vision, \( D = 25 \, \text{cm} \)

### Step 1: Magnifying Power when the Final Image is at Least Distance of Distinct Vision
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