Water rises to a height `3.2` cm in a glass capillary tube. Find the height to which the same water will rise in another glass capillary having half a
Water rises to a height `3.2` cm in a glass capillary tube. Find the height to which the same water will rise in another glass capillary having half area of cross-section.
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Given: `h_(1)=3.2cm`, `A_(2)=A_(1)//2`
From formula, `h_(1)r_(1)=h_(2)r_(2)`………..`(i)`
and `pir_(2)^(2)=(pir_(1)^(2))/(2)` (Given)
`impliesr_(2)=(r_(1))/(sqrt(2))`
`:.h_(2)=(h_(1)r_(1)xxsqrt(2))/(r_(1))` [Putting the value in equation `(i)`]
`impliesh_(2)=3.2xxsqrt(2)`
`=4.525cm`
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