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You are given two converging lenses of f...

You are given two converging lenses of focal lengths `1.25 cm and 5 cm` to design a compound microscope. If it is desired to have a mignification of `30`, find out separation between the objective and eye piece.

Text Solution

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Here, `f_(0) = 1.25 cm, f_(e) = 5 cm,`
`d = 25 cm, L = ? M = 30`
When final image is formed at the near point of eye, the magnifying power of compound microscope is given by
`M = (L)/(f_(0))(1 + (d)/(f_(e)))`
`30 = (L)/(1.25)(1 + (25)/(5)) = (6 L)/(1.25)`
`L = (30 xx 1.25)/(60 = 6.25 cm`
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