Q.

The magnifying power of an astronomical telescope is 8 and the distance between the two lenses is 54 cm. The focal length of eye lens and objective lens will be respectively

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a

6 cm and 48 cm

b

48 cm and 6 cm

c

8 cm and 64 cm

d

64 cm and 8 cm

answer is A.

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Detailed Solution

fo+fe=54  and  fofe=m=8⇒fo=8fe⇒8fe+fe=54⇒fe=549=6⇒fo=8fe=8×6=48
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The magnifying power of an astronomical telescope is 8 and the distance between the two lenses is 54 cm. The focal length of eye lens and objective lens will be respectively