A magnifying glass of focal length 5cm is used to view an object by a person whose smallest distance of distinct vision is 25cm. If he holds the glass close to eye, then the magnification is

Options

A. 5
B. 6
C. 2.5
D. 3

Explanation

To solve the problem, we need to find the magnification produced by a magnifying glass with a focal length of 5 cm when used by a person whose nearest distance of distinct vision is 25 cm.

### Step-by-Step Solution:

1. **Identify the formula for magnification (M)**:
The magnification (M) produced by a magnifying glass is given by the formula:
\[ M = 1 + \frac{D}{f} \]
where \(D\) is the nearest distance of distinct vision (25 cm in this case) and \(f\) is the focal length of the lens (5 cm).

2. **Substitute the values into the formula**:
We know:
- \(D = 25 \, \text{cm}\)
- \(f = 5 \, \text{cm}\)

Plugging these values into the magnification formula:
\[ M = 1 + \frac{25}{5} \]

3. **Calculate the fraction**:
Now, calculate \(\frac{25}{5}\):
\[ \frac{25}{5} = 5 \]

4. **Add 1 to the result**:
Now, add 1 to the result obtained:
\[ M = 1 + 5 = 6 \]

5. **Conclusion**:
The magnification produced by the magnifying glass is:
\[ M = 6 \]

### Final Answer:
The magnification is 6.

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