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 of finding the magnification produced by a magnifying glass with a focal length of 5 cm when held close to the eye, we can use the formula for magnifying power (M) of a simple magnifying glass:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Focal length of the magnifying glass (F) = 5 cm
- Distance of distinct vision (D) = 25 cm

2. **Use the Formula for Magnifying Power:**
The magnifying power (M) of a magnifying glass when held close to the eye is given by the formula:
\[ M = 1 + \frac{D}{F} \]

3. **Substitute the Values into the Formula:**
Substitute the values of D and F into the formula:
\[ M = 1 + \frac{25 \, \text{cm}}{5 \, \text{cm}} \]

4. **Calculate the Magnification:**
Simplifying the fraction:
\[ M = 1 + 5 \]
\[ M = 6 \]

5. **Conclusion:**
The magnification produced by the magnifying glass when held close to the eye is 6.

### Final Answer:
The magnification is 6.

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