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Q.

The focal lengths of the objective and the eye-piece of a compound microscope are 2.0 cm and 3.0 cm respectively. The distance between the objective and the eye-piece is 15.0 cm. The final image formed by the eye-piece is at infinity. The two lenses are thin. The distances in cm of the object and the image produced by the objective measured from the objective lens are respectively

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a

2.4 and 12.0

b

2.4 and 15.0

c

2.3 and 12.0

d

2.3 and 3.0

answer is A.

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Detailed Solution

When final image is formed at infinity then Length of the tube=vo+fo=vo+fo⇒15=vo+3⇒vo=12cmFor  objective  lens  1f=1vo−1uo⇒1+2=1+12−1uo⇒uo=−2.4cm
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