Water rises upto height h in a capillary tube of certain diameter. This capillary tube is replaced by similar tube of twice the diameter. Now, the water will rise upto the height of

Options

A. 4h
B. 3h
C. 2h
D. `(1)/(2)h`

Answer

D

Explanation

According to Jurin's law, rise in capillary is inversely proportional to the radius of capillary.
or `h prop (1)/(r ) or (h_(2))/(h_(1))=(r_(1))/(r_(2))=(d_(1))/(d_(2))`
Given `d_(2)=2d_(1)`
`therefore (h_(2))/(h_(1))=(d_(1))/(2d_(1))=(1)/(2)`
`or h_(2)=(h_(1))/(2)=(h)/(2)`