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Question: Answered & Verified by Expert
An optician prescribes a corrective lens of power $+2 \mathrm{D}$, then the focal length of the required convex lens is
PhysicsRay OpticsAP EAMCETAP EAMCET 2022 (07 Jul Shift 2)
Options:
  • A $10 \mathrm{~cm}$
  • B $50 \mathrm{~cm}$
  • C $10 \mathrm{~m}$
  • D $50 \mathrm{~m}$
Solution:
1553 Upvotes Verified Answer
The correct answer is: $50 \mathrm{~cm}$
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 $=50 \mathrm{~cm}$.

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