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Make a diagram to show how hypermetropia is corrected. The near point of a hypermetropic eye is 1 m. What is the power of the lens required to correct this defect? Assume that the near point of the normal eye is 25 cm.

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correction for hypermetropia

Given the near point for the hypermetropic eye is 1m.

Assume the near point of the normal eye is 25 cm.

So,

The object distance will be, u = -25 cm (Normal near point).

The image distance, v = -1 m (Near point of this defective eye) or -100 cm.

Then the focal length can be found from the lens formula:

frac1v - frac1u = frac1f

Substituting the values in the equation, we obtain

Rightarrow frac1-100 - frac1-25 = frac1f

Rightarrow frac-1+4100 = frac1f

Rightarrow frac3100 = frac1f

Rightarrow f = frac1003 = 33.3 cm or 0.333 m

Hence the power of the lens will be:

P =frac1f(m) = frac1+0.333m = +3.0 D

Thus, the power of the convex lens required will be +0.3 D

 

Posted by

Deependra Verma

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