A person needs a lens of power -5.5 dioptres | vedclass

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(A) The power $P$ of a lens is related to its focal length $f$ (in meters) by the formula $P = \frac{1}{f}$.To find the focal length in centimeters,we

Vedclass · Accepted Answer

-$18.2$

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(A) The power $P$ of a lens is related to its focal length $f$ (in meters) by the formula $P = \frac{1}{f}$.To find the focal length in centimeters,we use the formula $f (cm) = \frac{100}{P}$.For correcting distant vision,the power required is $P = -5.5 \, D$.Substituting the value of $P$ into the formula:$f = \frac{100}{-5.5} \, cm$$f \approx -18.18 \, cm$.Rounding to one decimal place,the focal length is $-18.2 \, cm$.

$A$ 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 $+1.5$ dioptre. What is the focal length (in $cm$) of the lens required for correcting distant vision?

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