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Question

A person suffering from the eye-defect myopia (short-sightedness) can see clearly only up to a distance of 2 metres. What is the nature and power of lens required to rectify this defect ?


Solution

The person needs a concave lens to rectify the defect
Calculation of power of the lens:
Here, far point of myopic eye = 2m
The object kept at infinity can be seen clearly if the image of the object is formed at 2m.
so the object, u = infinity
image distance, v = 2m
1 over v minus 1 over u space equals space 1 over f fraction numerator 1 over denominator negative 2 end fraction minus 1 over infinity space equals space 1 over f f space equals space minus 2 m P space equals space 1 over f equals fraction numerator 1 over denominator negative 2 end fraction equals negative 0.5 D

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