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Question

A capillary tube of length 10 cm is dipped 3 cm inside water. The water rises up to 5 cm in the capillary. If the same tube is dipped 6 cm inside water, the water will rise in capillary up to the height

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Solution

We know that,

Capillary rise = 2Tcosθrdg

where d is the density of the medium(in this case water) and T is the surface tension.

So as we can see for a particular tube T, r and for the same medium d will also be the same so the rise will be the same in both conditions.

So rise in this case also will be 5 cm but the length of the tube is 10 cm and 6 cm of it is already immersed so rise can maximum only be (10-6) = 4 cm.


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