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The far point of a myopic person is 80 cm in front of the eye. What is the nature and power of the lens required to correct the problem? - Science

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प्रश्न

The far point of a myopic person is 80 cm in front of the eye. What is the nature and power of the lens required to correct the problem?

संख्यात्मक

उत्तर

The person is suffering from an eye defect called myopia. In this defect, the image is formed in front of the retina. Hence, a concave lens is used to correct this defect of vision.

Object distance, u = infinity = ∞

Image distance, v = – 80 cm

Focal length = f

According to the lens formula,

`1/"v" - 1/"u" = 1/"f"`

`1/(-80) - 1/(-∞) = 1/"f"`

`1/(-80) = 1/"f"`

f = −80 cm = −0.80 m   ...(concave lens)

∴ power of modified lens,

P = `1/"f"`

= `1/(-0.80  "m")`

= −1.25 D

A concave lens of power −1.25 D is required by the person to correct his defect.

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अध्याय 11: The Human Eye and the Colourful World - Exercises [पृष्ठ १९८]

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एनसीईआरटी Science [English] Class 10
अध्याय 11 The Human Eye and the Colourful World
Exercises | Q 6 | पृष्ठ १९८

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