The maximum magnification that can be obtained with a convex lens of focal length 2.5 cm is (the Ieast distance of distinct vision is 25 cm).

Options

A. 10
B. `0.1`
C. `62.5`
D. `11`

Explanation

To find the maximum magnification that can be obtained with a convex lens of focal length 2.5 cm, we can use the formula for maximum magnification (M) given by:

\[ M = 1 + \frac{d}{f} \]

where:
- \( M \) is the maximum magnification,
- \( d \) is the least distance of distinct vision (25 cm),
- \( f \) is the focal length of the lens (2.5 cm).

### Step-by-Step Solution:

1. **Identify the values:**
- Focal length \( f = 2.5 \) cm
- Least distance of distinct vision \( d = 25 \) cm

2. **Substitute the values into the formula:**
\[ M = 1 + \frac{d}{f} = 1 + \frac{25 \text{ cm}}{2.5 \text{ cm}} \]

3. **Calculate \( \frac{d}{f} \):**
- First, divide 25 by 2.5:
\[ \frac{25}{2.5} = 10 \]

4. **Add 1 to the result:**
\[ M = 1 + 10 = 11 \]

5. **Conclusion:**
- The maximum magnification that can be obtained with the convex lens is \( M = 11 \).

### Final Answer:
The maximum magnification is **11**.

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