The power of a lens having a focal length of 1 cm is

Options

A. 1 D
B. 10 D
C. `1/10D`
D. 100 D

Explanation

To find the power of a lens with a focal length of 1 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Power of a Lens**:
The power (P) of a lens is given by the formula:
\[ P = \frac{1}{f} \]
where \( f \) is the focal length in meters.

2. **Convert Focal Length to Meters**:
Since the given focal length is in centimeters, we need to convert it to meters for the formula to work correctly.
\[ 1 \text{ cm} = 0.01 \text{ m} \]

3. **Substitute the Focal Length into the Formula**:
Now, we can substitute the focal length into the power formula:
\[ P = \frac{1}{0.01} = 100 \text{ diopters} \]

4. **Conclusion**:
The power of the lens with a focal length of 1 cm is:
\[ P = 100 \text{ diopters} \]

### Final Answer:
The power of the lens is **100 diopters**.

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