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:
$\text{p}=-5.5\text{D}$

$\text{p}=\frac{1}{\text{f}}$

$\text{f}=\frac{1}{-5.5}=-0.1818\text{m}=18.18\text{cm}$
  1. For near vision:
$\text{p}=1.5\text{D}$

$\text{1}=\frac{1}{\text{f}}$

$\text{f}=\frac{1}{\text{p}}=\frac{1}{1.5}$

$=0.6666$

$=0.66.66\text{cm}$
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