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A focal length of a lens 10cm. What is p...

A focal length of a lens 10cm. What is power of a lens in dipotre?

A

0.1D

B

10D

C

15D

D

1D

Text Solution

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The correct Answer is:
To find the power of a lens given its focal length, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Formula for Power**: 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**: The given focal length is 10 cm. We need to convert this into meters: \[ f = 10 \text{ cm} = \frac{10}{100} \text{ m} = 0.1 \text{ m} \] 3. **Substitute the Focal Length into the Power Formula**: Now, we can substitute the focal length in meters into the power formula: \[ P = \frac{1}{0.1} \] 4. **Calculate the Power**: Performing the calculation: \[ P = 10 \text{ diopters} \] 5. **Final Answer**: Thus, the power of the lens is: \[ P = 10 \text{ D} \] ### Summary: The power of the lens with a focal length of 10 cm is 10 diopters.

To find the power of a lens given its focal length, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Formula for Power**: The power \( P \) of a lens is given by the formula: \[ P = \frac{1}{f} ...
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