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Water rises to a height h in a capillary...

Water rises to a height h in a capillary tube when dipped vartically . If another capillary tube of the same material with half the bore cross section is dipped vertically rise of water in this case

A

2h

B

h/2

C

`sqrt(2) h`

D

`h/sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`A_(2)= 1/2 A_(1)`
` pi r_(2)^(2) = 1/2 pir_(1)^(2)`
` r_(2)=(r_(1))/2`
` (h_(2))/(h_(1))= (r_(1))/(r_(2)) = (r/2)/(sqrt(2))= sqrt(2)`
`h_(2)= sqrt(2)` h
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Knowledge Check

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