Optics Question 355

Question: 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

[IIT 1995]

Options:

A) 2.4 and 12.0

B) 2.4 and 15.0

C) 2.3 and 12.0

D) 2.3 and 3.0

Show Answer

Answer:

Correct Answer: A

Solution:

When final image is formed at infinity, length of the tube =vo+fe

15=vo+3

vo=12 cm For objective lens 1fo=1vo1uo

1(+2)=1(+12)1uo

uo=2.4cm



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