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The focal length of the objective is 100 cm and the focal length of an eyepiece is 1 cm, then the tube length of the telescope is ________ cm.

Asked in GSEB Board July 2022 · Telescopes

Answer: (2) 101

Step-by-step solution

Given: fₒ=100 cm, fₑ=1 cm, normal adjustment.

Idea: for the final image to be at infinity, the objective's real image must fall exactly on the eyepiece's first focal plane.

That image lies fₒ behind the objective, and the eyepiece must then stand fₑ beyond it.

L=fₒ+fₑ=100+1=101 cm

So the tube is just over a metre long and magnifies (100)/1=100 times — the length buys the magnification.

Why the other options are wrong

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