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The focal length of the objective of a terrestrial telescope is 80 cm and it is adjusted for normal vision to produce a magnification of 20. If the focal length of erecting lens is 20cm, then full length of telescope tube will be ___

a
84cm
b
100cm
c
124 cm
d
164 cm

detailed solution

Correct option is D

For normal vision,fofe = m  ⇒ 80fe = 20    ⇒ fe = 4cm ∴ L = fo+4f+fe = 80+4×20+4cm = 164cm

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