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Question

If a lens has a focal length of $25\text{ cm}$, what will be the power of that lens?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper PDF (31-Jan-2021) (Shift 1)
The correct answer is
$4\text{ D}$

Lens Power Calculation

The power of a lens is defined as the reciprocal of its focal length when the focal length is measured in meters.

Formula and Calculation

The formula relating power ($P$) and focal length ($f$) is:

$ P = \frac{1}{f} $

Where:

  • $P$ is the power of the lens in Diopters (D).
  • $f$ is the focal length in meters (m).

Step-by-Step Solution

  1. Convert Focal Length: The given focal length is $f = 25\text{ cm}$. Convert this to meters:

    $ f = 25\text{ cm} = \frac{25}{100}\text{ m} = 0.25\text{ m} $

  2. Calculate Power: Use the formula $P = \frac{1}{f}$ with the focal length in meters.

    $ P = \frac{1}{0.25\text{ m}} $

    $ P = 4\text{ D} $

Therefore, the power of the lens is $4\text{ D}$.

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