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JEE Main 202228 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
28 July
Shift
Morning Shift
Subject
Physics
Chapter
Ray Optics

JEE Main 2022 · 28 July · Morning Shift · Physics · Ray Optics

In normal adjustment, for a refracting telescope, the distance...

In normal adjustment, for a refracting telescope, the distance between objective and eye piece is 30cm30cm. The focal length of the objective, when the angular magnification of the telescope is 22, will be:

Options

  1. A20cm20cm
  2. B30cm30cm
  3. C10cm10cm
  4. D15cm15cm

Correct answer

A. 20cm20cm

Step-by-step solution

Let f0{f}_{0} be the focal length of objective and fe{f}_{e} is the focal length of eyepiece.

Given here, f0+fe=30{f}_{0} + {f}_{e} = 30.

Angular magnification of telescope is given by m=f0fem = \dfrac{{f}_{0}}{{f}_{e}}.

So, 2=f0fe⇒f0=2fe2 = \dfrac{{f}_{0}}{{f}_{e}} ⇒ {f}_{0} = 2{f}_{e}

Then, we have f0+f02=30⇒3f02=30{f}_{0} + \dfrac{{f}_{0}}{2} = 30 ⇒ \dfrac{3{f}_{0}}{2} = 30

Or, f0=20cm{f}_{0} = 20cm.

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