An optician prescribes a corrective lens of power $+2 \mathrm{D}$, then the focal length of the required…

An optician prescribes a corrective lens of power $+2 \mathrm{D}$, then the focal length of the required convex lens is
  1. $10 \mathrm{~cm}$
  2. $50 \mathrm{~cm}$
  3. $10 \mathrm{~m}$
  4. $50 \mathrm{~m}$

Solution

Power of a lens in diopters, $P=\frac{100}{f}$ $f=$ Focal length of lens in $\mathrm{cm}$. here, $ P=+20 \mathrm{D} $ so, $ 2=\frac{100}{f(\mathrm{~cm})} \Rightarrow f(\mathrm{~cm})=\frac{100}{2}=50 $ $\therefore$ Focal length of lens $=50 \mathrm{~cm}$

Asked in: AP EAMCET 2022 (07 Jul Shift 2)

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