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With the help of a ray diagram, show how a compound microscope forms a magnified image of a tiny object, at least distance of distinct vision. - Physics

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प्रश्न

With the help of a ray diagram, show how a compound microscope forms a magnified image of a tiny object, at least distance of distinct vision. Hence derive an expression for the magnification produced by it.

थोडक्यात उत्तर
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उत्तर

Image formation by compound microscope at the least distance of distinct vision:

Expression for magnification:

For objective,

Magnification = mo = `"P'Q'"/"PQ" = (-"v")/"u"`

When the image is formed at the least distance of distinct vision, then

Magnification = me = `(1 + "D")/"f"_"e"`

So, final magnification = m = mo × me = `"v"/"u" (1 + "D"/"f"_"e")`

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