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Q.

A compound microscope is used to enlarge an object kept at a distance 0.03 m from its objective which consists of several convex lenses in contact and has focal length 0.02 m. If a lens of focal length 0.1 m is removed from the objective, find out the distance by which the eye piece of the microscope must be moved to refocus the image.

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a

9 cm away from objective

b

5 cm away from objective

c

6 cm away from objective

d

21 cm away from objective

answer is A.

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Detailed Solution

in the first case 13+1v= 12  here u=0.03m=3 cm and f=0.02m=2 cm1v=16  v=6 cmwhen f=0.1m  is removed 12=1f1+110⇒1f1=12-110=410f1=2.5 cm    new image position 13+1v=12.5    v=15 cm so image distance increases by 15-6= 9 cm  so eye piece has to be moved by 9 cm away
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