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The near point of the eye of a person is 50 cm. Find the nature and power of the corrective lens required by the person to enable him to see clearly the objects placed at 25 cm from the eye? - Science

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प्रश्न

The near point of the eye of a person is 50 cm. Find the nature and power of the corrective lens required by the person to enable him to see clearly the objects placed at 25 cm from the eye?

संख्यात्मक
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उत्तर

Given:

Object distance (u) = −25cm

Image distance (v) = −50cm

Focal length, f = ?

Using the lens formula

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

`1/"f" = 1/(-50) - 1/(-25)`

`1/"f" = -1/50 + 1/25`

`1/"f" = (-1+2)/50`

`1/"f" = 1/50`

`"f"` = 50 cm

Since the focal length of the lens is positive, the corrective lens required is a convex lens. 

`"f"` = 50cm

`"f"` = 0.5m

Power (P) of the corrective lens will be 

`"P" = 1/("f"("m"))`

`"P" = 1/0.5`

`"P" = + 2 "D"`

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2019-2020 (March) Delhi Set 3

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A student suffering from myopia is not able to see distinctly the objects placed beyond 5 m. List two possible reasons due to which this defect of vision may have arisen. With the help of ray diagrams, explain

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(ii) the type  of the corrective lens used to restore proper vision and how this defect is corrected by the use of this lens.

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