A person needs a lens of power -5.5 diopter for correcting his distant vision. for correcting his near vision he needs a lens of power +1.5 diopter. what is the focal length of the lens required for correcting (1)distant vision (2) near vision
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Answer:
(i). -0.1818 m
(ii). 0.66 m
Explanation:
(i).
Power of the lens for correcting the distant vision = -5.5 Dioptres
Power of the lens for correcting the near vision = +1.5 Dioptres
Now,
We know that the Power of the lens is given by,
Power, P=\frac{1}{f}\\-5.5=\frac{1}{f}\\f=-0.1818\,m
Therefore, the Focal length of the lens is given by,
Focal length, f = -0.1818 m
(ii).
The Power of lens for near vision = +1.5 Dioptres
So,
The focal length of the lens is given by,
f=\frac{1}{P}\\f=\frac{1}{1.5}\\f=0.66\,m
Therefore, the Focal length of the lens is given by,
Focal length, f = 0.66 m
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