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Question

A telescope has an objective lens of focal length 200 cm and an eye piece with focal.length 2 cm. If this telescope is used to see a 50 metre tall building at a distance of 2 km, what is the height of the image of the building formed by the objective lens?

A
5 cm
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B
10 cm
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C
1 cm
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D
2 cm
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Solution

The correct option is A 5 cmGiven, u=−2000m,v=?,f=200cm=2mFrom lens formula, 1v−1u=1f⇒1v+12000=121v=12−12000=1000−12000=9992000v=2000999Magnification, vu=m=2000999×2000=1999 Size of image =1999×50×100cm≈5cm

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