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​The power of a convex lens of focal length 20 cm is ___________. ​
Question

​The power of a convex lens of focal length 20 cm is ___________. ​

A.

–5.0 D

B.

5.0 D

C.

–0.05 D​

D.

​0.05 D​

Correct option is B

The correct answer is (B) 5.0 D.

Power of a convex lens

  • The power of a lens is its capacity to alter the light that enters it.
  • Because a lens with a shorter focal length bends lights more, it has more power.
  • The light rays converge toward the principal axis in a convex lens, while the light rays diverge away from the principal axis in a concave lens. Here, P=1fP=\frac{1}{f}
  • The inverse of a lens's focal length (f) in meters (m) is its power.
  • A lens's power is measured in m-1. Diopter is another name for this.

Calculations Given,

Convex lens

Focal Length, f=20cm=20100=0.2mf = 20cm= \frac{20}{100}=0.2m

We know,P=1f P=\frac{1}{f}

So putting values in formula

P=10.2=102P=\frac{1}{0.2}=\frac{10}{2}

P= 5.0D

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