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A very myopic man has a far point of 20.0 cm. What power contact lens (when on the eye) will correct his distant vision?

Short Answer

Expert verified

The power of vision of a myopic man must be reduced (corrected) by -5.00 D.

Step by step solution

01

Definition of dioptre lens

The unit of measurement for the optical power of a lens or curved mirror is the dioptre of power of a lens, which is equal to the reciprocal of focal length.

02

Given information and Formula to be used

Power of the normal eyes is PNormal=50.0d.

The far point of man is,d∘=20.0cm1m100cm=0.20m

The lens to retina distance isdi=2.00cm1m100cm=0.20m

The power of the severely myopic eye PMyopic can be expressed as,

PMyopic=1d0+1d0........................(1)

And, the number of diopterscan be obtained using:

PCorrected=PNormal-PMyopic...................(2)

03

What power contact lens (when on the eye) will correct his distant vision?

Substitute the given data in equation (1), we will get,

PMyopic=10.20m+10.02m…â¶Ä¦â¶Ä¦â¶Ä¦â¶Ä¦..(3)

Substituting data from equation (3) into equation (2) gives,

PMyopic=50.0D-55.0D=-5.00D

Therefore, a myopic man's visual power should be decreased (corrected) by \( - {\rm{5}}{\rm{.00}}\;{\rm{D}}\).

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