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Q.

Focal lengths of the objective and eye piece of an astronomical telescope are 50 cm and 5 cm respectively. The least distance of distinct vision is 25 cm. The telescope is focussed on a distant star for distinct vision. The separation between and eye piece will be

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a

84.34 cm

b

54.17 cm

c

64.28 cm

d

74.40 cm

answer is B.

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Detailed Solution

For the eye piece, 1(−25)−1(−uc)=1+5⇒uc=4.17 cm∴ Separation between objective and eyepiece =V0+uc=(50+4.17)cm =54.17 cm
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Focal lengths of the objective and eye piece of an astronomical telescope are 50 cm and 5 cm respectively. The least distance of distinct vision is 25 cm. The telescope is focussed on a distant star for distinct vision. The separation between and eye piece will be