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AP EAMCET · PHYSICS · Ray Optics

An optician prescribes a corrective lens of power \(+2 \mathrm{D}\), then the focal length of the required convex lens is

  1. A \(10 \mathrm{~cm}\)
  2. B \(50 \mathrm{~cm}\)
  3. C \(10 \mathrm{~m}\)
  4. D \(50 \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(50 \mathrm{~cm}\)

Step-by-step Solution

Detailed explanation

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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