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AIIMS 2011
Exam
AIIMS
Year
2011
Subject
Physics
Chapter
Ray Optics

AIIMS 2011 · Physics · Ray Optics

A far sighted person has his near point 50 ~cm , find the power of...

A far sighted person has his near point 50 cm50 \mathrm{~cm}, find the power of lens he should use to see at 25 cm25 \mathrm{~cm}, clearly.

Options

  1. A+1D+1 \mathrm{D}
  2. B+2D+2 \mathrm{D}
  3. C−2D-2 \mathrm{D}
  4. D−1D-1 \mathrm{D}

Correct answer

B. +2D+2 \mathrm{D}

Step-by-step solution

Here u=−25 cm,v=−50 cmu=-25 \mathrm{~cm}, v=-50 \mathrm{~cm} We have 1f=1−u+1v\frac{1}{f}=\frac{1}{-u}+\frac{1}{v} i.e, 1f=125−150\frac{1}{f}=\frac{1}{25}-\frac{1}{50} \quad or f=50 cmf=50 \mathrm{~cm} Power of lens he should use, P=100f=10050=+\frac{100}{f}=\frac{100}{50}=+2 D\mathrm{D}
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