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Question: Answered & Verified by Expert
The focal length of the objective of a terrestrial telescope is $80 \mathrm{~cm}$ and it is adjusted for parallel rays, then its magnifying power is 20 . If the focal length of erecting lens is $20 \mathrm{~cm}$, then full length of telescope will be
PhysicsRay OpticsJEE Main
Options:
  • A $84 \mathrm{~cm}$
  • B $100 \mathrm{~cm}$
  • C $124 \mathrm{~cm}$
  • D $164 \mathrm{~cm}$
Solution:
1850 Upvotes Verified Answer
The correct answer is: $164 \mathrm{~cm}$
$m=\frac{f_o}{f_e} \Rightarrow \frac{80}{f_e}=20 \Rightarrow f_e=4 \mathrm{~cm}$
Hence length of terrestrial telescope
$=f_o+f_e+4 f=80+4+4 \times 20=164 \mathrm{~cm}$
Hence length of terrestrial telescope
$=f_o+f_e+4 f=80+4+4 \times 20=164 \mathrm{~cm}$

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