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Question

A myopic person has been using spectacles of power 1.0 D for distant vision. During old age, he also needs to use a separate reading glass of power +2.0 D. Explain what may have happened.

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Solution

The power of the spectacles used by the myopic person, P=1 D

The focal length of the spectacles,
f=1P=1 m=100 cm

Hence, the far point of the person is 100cm. He might have a normal near point of 25cm. When he uses the spectacles, the objects placed at infinity produce virtual images at 100 cm. He uses the ability of accommodation of the eye-lens to see the objects placed 100 cm and 25 cm.

During old age, the person uses reading glasses of power, P=+2 D

The ability of accommodation is lost in old age. This defect is called presbyopia. As a result, he is unable to see clearly the objects placed at 25 cm.

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