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An astronomical telescope has objective and eyepiece of focal lengths 40cm and 4cm respectively. To view an object 200cm away from the objective, the lenses must be separated by a distance

a
50 cm
b
54 cm
c
37.3 cm
d
46 cm

detailed solution

Correct option is B

Here fo=40cm, fe=4cmTube length L= Distance between lenses = vo+fe For objective lens,uo=-200 cm, vo=?1vo-1u0=1fo or 1vo-1-200=140 or  1vo=140-1200=4200 ∴ vo=50 cm∴L=50+4=54 cm

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