A `16cm^(3)` of water flows per second through a capillary tube of radius `r` cm and of length 1 cm, when connected to a pressure head of `h` cm of water. If a tube of the same length and radius `r//2` is connected to the same pressure head, find the mass of water flowing per minute through the tube.

Explanation

`V prop (Pr^(4))/(l) rArr (V_(2))/(V_(1))=(P_(2))/(P_(1))xx(r_(2)^(4))/(r_(1)^(4))xx(l_(1))/(l_(2))`
`=((r//2)^(4))/(r^(4))xx(l)/(l)=((1)/(2))^(4)=(1)/(16),V_(2)=(16)/(16)=1cm^(3)//s`
volume of water flowing per minute `=1xx60=60cm^(3)//"min"`
`therefore" Mass of water flowing per minute"`
`=Vxxd=60xx1="60 gram/min"`