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Q.

A compound microscope is used to enlarge an object kept at a distance 0.03m from its objective which consists of several convex lenses in contact and has focal length 0.02m. If a lens of focal length 0.1m 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

9cm away from objective

b

15cm away from objective

c

6cm away from objective

d

21cm away from objective

answer is A.

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Detailed Solution

From lens formula1F=1v-1u⇒10.02=1v+10.03⇒v=0.06m=6cmLet say focal length of remaining combination is f'10.02=10.1+1f'⇒f'=0.025m=2.5cmThe new position of image by objective lens is v'.Using lens formula,12.5=1v'-1-3⇒v'=15cm∴ Eye piece must be moved away from objective by 15−6=9cm

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