The focal lengths of the eye-piece and the objective of a compound microscope are and respectively and the length of the tube is Calculate the magnifying power of the microscope, when the final image is formed at infinity. The value of least distance of distinct vision is
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As the final image is formed at infinity, the image would have been on focus of eyepiece, that is at a distance of 5 cm from the eyepiece.
∴ Image distance for the objective = Tube length(L) − f e = 2 0 − 5 = 1 5 cm Using Cartesian sign convention for the objective lens, u 0 1 = v 0 1 − f 0 1 u 0 1 = 1 5 1 − 1 1 = − 1 5 1 4 ∴ u 0 = − 1 4 1 5 cm .
When the final image is formed at infinity, the magnifying power of the microscope will be,
m = u 0 v 0 × f e D = 1 4 1 5 1 5 × 5 2 5 m = 7 0 .