Lateral magnification formula compound microscope
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To figure the total magnification of an image that you are viewing through the microscope is really quite simple. To get the total magnification take the power of the objective (4X, 10X, 40x) and multiply by the power of the eyepiece, usually 10X.
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A circular aperture is qualitatively similar, but an accurate quantitative treatment of the pattern requires more complicated mathematics. The intensity pattern is called the "Airy Disk". The main features are shown in the diagram below. The first minimum occurs at an angle θ = 1.22 λ/D, where D is the diameter of the aperture. On a screen a distance L >> D from the aperture the minimum is seen at a radial distance r' = 1.22 λL/D from the center of the pattern
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