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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.

संक्षेप में उत्तर

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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