NCERT Solution for Class 10 Science Chapter 10

Light – Reflection and Refraction

NCERT Books for Session 2022-2023

CBSE Board and UP Board

Intext Questions

Page No-184

Questions No-1

# Define 1 dioptre of power of a lens.

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Power of lens is defined as the reciprocal of its focal length. If P is the power of a lens of

focal length F in metres, then

P= 1/f(in metres)

The S.I. unit of power of a lens is Dioptre. It is denoted by D.

1 dioptre is defined as the power of a lens of focal length 1 metre.

1 D = 1 m−¹

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1 dioptre power is defined as the power of a lens having a focal lenght of 1 m.

The dioptre (or diopter) is a unit of measurement used to express the optical power of a lens. The optical power of a lens is a measure of its ability to converge or diverge light. It is defined as the reciprocal of the focal length of the lens in meters.

The formula for calculating the optical power (P) of a lens in dioptres is:

P = 1/f

where:

» P is the optical power of the lens in dioptres.

» f is the focal length of the lens in meters.

So, 1 dioptre of lens power corresponds to a lens with a focal length of 1 meter. Lenses with positive power (converging lenses) bring light rays together, while lenses with negative power (diverging lenses) cause light rays to spread out.

For example:

» A converging lens with a focal length of 0.5 meters has an optical power of P = 1/0.5 = 2 dioptres.

A diverging lens with a focal length of -1 meter also has an optical power of P = 1/−1 =−1 dioptre.

Optometrists use dioptres to prescribe corrective lenses for individuals with vision problems. The prescription for glasses or contact lenses is given in terms of the required optical power to correct refractive errors such as nearsightedness (myopia), farsightedness (hyperopia), or astigmatism.