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Q.

Find the separation between the objective lens and the eye-piece of the given telescope, which has an objective lens of focal length 50 cm and an eye piece of focal length 5 cm. The least distance of distinct vision is 25 cm and the telescope is focused for distinct vision on a scale 200 cm away.

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a

75 cm

b

60 cm

c

71 cm

d

74 cm

answer is C.

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Detailed Solution

L=Vo+ue1V0−1u0=1f0; 1Ve−1Ue=1fe1V0=150−1200; 1−25−1ue=15V0=2003cm ; ue=−256L=2003+256⇒L=70.83=71cm

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Find the separation between the objective lens and the eye-piece of the given telescope, which has an objective lens of focal length 50 cm and an eye piece of focal length 5 cm. The least distance of distinct vision is 25 cm and the telescope is focused for distinct vision on a scale 200 cm away.