Engineering
Physics
Optical Instrument
Question

If we need a magnification of 375 from a compound microscope of tube length 150 mm and an objective of focal length 5 mm, the focal length of the eye-piece, should be close to :

2 mm

12 mm

33 mm

22 mm

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Solution

Case-I

If final image is at least distance of clear vision

M.P.=Lf0(1+Dfe);   375=150d[1+25fe]

37530=1+25fe

34530=25fe

f0=750345=2.17cm  ;  fe≈22mm

Case-II

If final image is at infinity

M.P.=Lf0(Dfe)=375

fe = 22 mm