Physics

Physics

Problem

For a compound microscope with fo=0.5 cmf_o = 0.5\,\text{cm}, fe=5 cmf_e = 5\,\text{cm} and tube length 16 cm16\,\text{cm}: a. (i) Find the magnifying power when the final image is at infinity. b. (ii) By what factor does the magnifying power increase if the final image is instead formed at the near point? Take D=25 cmD = 25\,\text{cm}.
Intuitive explanation

The magnification of a compound microscope depends on how the objective and eyepiece work together—the objective creates a real, magnified intermediate image, and the eyepiece then magnifies that image further. The key is recognizing that the tube length (the distance between the focal points of the two lenses) determines where that intermediate image forms, which directly controls the objective's magnification before the eyepiece amplifies it again.

Intuitive explanation

The magnification of a compound microscope depends on how the objective and eyepiece work together—the objective creates a real, magnified intermediate image, and the eyepiece then magnifies that image further. The key is recognizing that the tube length (the distance between the focal points of the two lenses) determines where that intermediate image forms, which directly controls the objective's magnification before the eyepiece amplifies it again.

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