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A student determines that the field of view with a 10x ocular lens and a 4x objective lens is 2.5 in diameter.What is the diameter if the student changes the objective lens to 10x?

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Irving Heathcote
Irving HeathcoteLv2
14 Feb 2019

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1. The length of a stage micrometer is 1 mm and it is markedwith 100 tic marks including 10 long tic marks with number labels(0.1, 0.2, 0.3, etc.). The eyepiece (ocular) graticule has 50 ticmarks, with a longer tic mark at every 10th position (meaning thereare 5 groups of 10 units = 50 eyepiece graticule units). When thestage micrometer under the 10x objective lens is lined up with theeyepiece graticule so that the tic marks all face the same way andthe zeros start at the same vertical line, the 50th unit line onthe eyepiece lines up with the 0.4 mm line on the stage micrometer.Determine the value of one eyepiece unit. How much is the measureof each eyepiece unit in microns?

2. Consider another scientist using a different microscope wherethe objective power is changed from 10x to 40x. This scientistfirst lines up the stage micrometer under the 10x objective lenswith the eyepiece graticule so that the tic marks all face the sameway and the zeros start at the same vertical line. Then theinvestigator rotates the objective lenses to position the 40xobjective lens in line to magnify the stage micrometer. Thescientist notices that the micrometer must be moved to once againline it up to match the zeros with the eyepiece graticule again.This time the 50th unit line on the eyepiece lines up with the 0.21mm position under the 40x magnification. How much should thescientist calibrate one eyepiece unit of measure to be under this40x objective in microns?

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