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A person needs a lens of power, -5.5 dioptres for correcting his distant vision. For correcting his near vision, he needs a lens of power, +1.5 dioptres.

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A person needs a lens of power, -5.5 dioptres for correcting his distant vision. For correcting his near vision, he needs a lens of power, +1.5 dioptres. What is the focal length of the lens required for correcting

1. distant vision, and

2. near vision?

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1. For distant vision:

P = -5.5D

P = \(\frac{1}{f}\)

f = \(\frac{1}{P}\) = \(\frac{1}{-5.5}\) = -0.1818 m

= -18.18cm

2. For Near Vision:

P = 1.5D

P = \(\frac{1}{f}\)

f = \(\frac{1}{P}\) = \(\frac{1}{1.5}\) = 0.6666

= 66.66 cm

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