A compound microscope consists of an objective lens of focal length 2 cm and an eye-piece of focal length 6.25cm separated by a distance of 15cm .Find the distance of an object from the objective lens so that the final image is formed at 25 cm from the eye.
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12th
Physics
Ray Optics and Optical Instruments
Optical Instruments : Microscope
A compound microscope consi...
PHYSICS
A compound microscope consists of an objective lens of focal length 2.0cm and an eyepiece of focal length 6.25cm separated by a distance of 15cm. How far from the objective should an object be placed in order to obtain the final image at:
(a) the least distance of distinct vision (25cm), and
(b) at infinity? What is the magnifying power of the microscope in each case?
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ANSWER
Focal length of the objective lens f1=2cm
Focal length of the eyepiece,f2=6.25cm
Distance between the objective lens and the eyepiece,d=15cm
Least distance of distinct vision,d′=25cm
Image distance for the eyepiece,v2=−25cm
bject distance for the eyepiece = u2
According to the lens formula
f21=v21−u21
6.251=−251−u21
u2=−5cm
Image distance for the objective lens v1=d+u
Explanation:
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