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Exercise · Q24

Q.Compare the working principle of a simple microscope and a compound microscope, and explain why a compound microscope can reach a much higher magnifying power than a simple microscope.

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A simple microscope is just one convex lens, used to view an object placed within its focal length so that a single stage of magnification produces an enlarged virtual image; because the magnifying power M=1+D/fM=1+D/f grows only by using an ever shorter focal length ff, and a very short focal length lens suffers increasingly severe optical aberrations, a simple microscope's magnifying power is, in practice, capped at around 10×10\times. A compound microscope instead uses two convex lenses in series: a short-focal-length objective forms a real, inverted, and already substantially magnified intermediate image of the tiny object; this intermediate image is then used as the "object" for a second lens, the eyepiece, which — acting exactly like a simple microscope on this already-magnified intermediate image — magnifies it a second time into the final image the eye sees. Because the overall magnifying power is the PRODUCT of the objective's own magnification and the eyepiece's own magnifying power, M=mo×MeM=m_o\times M_e, and each of the two factors can independently be made reasonably large without e …

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