A compound microscope has lens with objective of focal length 0.5 cm and eye piece of focal length 5 and the lenses are separated by 7cm. What is the magnification of microscope when final image is formed at infinity?
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Answer:
70
Explanation:
the main equations for finding magnification of a micriscope are:
(1) M=Mo × Me
Mo= magnification of objective
Me= angular magnification of eye peice
(2) M=(Vo/Uo)(D/Fe) for normal adjustment final image at infinity
(3) M=(Vo/Uo)(1+(D/Fe)) for near point adjustment
final image at D=25cm
(4) M= (L/Fo)×(D/Fe) ( normal adjustment )
L=separation or lemgth of microscope
(5) M= (L/Fo)(1+(D/Fe))
here in this question we will be using eqn 4
M=L×D/Fo×Fe = 7×25/5×0.5= 70
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