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

Options

A. 2h
B. h/2
C. `sqrt(2) h`
D. `h/sqrt(2)`

Answer

C

Explanation

`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