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JEE Main 202330 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
30 January
Shift
Morning Shift
Subject
Physics
Chapter
Ray Optics

JEE Main 2023 · 30 January · Morning Shift · Physics · Ray Optics

A person has been using spectacles of power - 1 . 0 diopter for...

A person has been using spectacles of power −1.0- 1 . 0 diopter for distant vision and a separate reading glass of power 2.02 . 0 diopters. What is the least distance of distinct vision for this person:

Options

  1. A10cm10cm
  2. B40cm40cm
  3. C30cm30cm
  4. D50cm50cm

Correct answer

D. 50cm50cm

Step-by-step solution

Given, P=2D=2m−1P = 2D = 2{m}^{- 1}

Focal length is 1f=2100cm−1\dfrac{1}{f} = \dfrac{2}{100}{cm}^{- 1}

Using lens equation 1v−1u=1f\dfrac{1}{v} - \dfrac{1}{u} = \dfrac{1}{f}

As we know, u=−25cmu = - 25cm

Then, 1v−(−125)=2100\dfrac{1}{v} - \left(- \dfrac{1}{25}\right) = \dfrac{2}{100}

⇒1v=150−125⇒ \dfrac{1}{v} = \dfrac{1}{50} - \dfrac{1}{25}

⇒v=−50cm⇒ v = - 50cm

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