A capillary tube is attached horizontally to a constant pressure head arrangement. If the radius of the capillary tube is increased by `10%`, then the rate of flow of the liquid shall change nearly by

Options

A. `+10%`
B. `+46%`
C. `-10%`
D. `-40%`

Answer

B

Explanation

Volume of liquid coming out of the tube per second,
`V=(ppir^(4))/(8etal)rArr(V_(2))/(V_(1))=((r_(2))/(r_(1)))^(4)`
`rArr" "V_(2)=V_(1)((110)/(100))^(4)=V_(1)(1.1)^(4)=1.4641V_(1)" unit"`
`rArr" "(DeltaV)/(V_(1))=(V_(2)-V_(1))/(V_(1))`
`=(1.4641V_(1)-V_(1))/(V_(1))~=46%`