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Question

Which of the following statements is true?


A

A convex lens has 4 dioptre power having a focal length 0.25m.

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B

A convex lens has 4 dioptre power having a focal length 0.25m.

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C

A concave lens has 4 dioptre power having a focal length 0.25m

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D

A concave lens has 4 dioptre power having a focal length 0.25m

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Solution

The correct option is A

A convex lens has 4 dioptre power having a focal length 0.25m.


Explanation for the correct option:

  1. The power of the lens is the ability of a lens to converge or diverge the rays of light falling on it.
  2. Dioptre of power of a lens is described as the unit of measurement of the optical power of a lens or curved mirror equivalent to the reciprocal of focal length f. The focal length is measured in meters m.
  3. One dioptre is the power of the lens whose focal length is 1m.
  4. Mathematically, the power of the lens can be expressed as, P=1f,Where f denotes focal length.
  5. Substitute 0.25 for f in power formula given as,

P=10.25=4D

A positive focal length value indicates a convex lens.

Hence, option (A) is correct.


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