Three horizontal capillary tubes of same radii and length `L_(1),L_(2)` and `L_(3)` are fitted side by side a little above the bottom, to the wall of a tank that is filled with water. The length of a single capillary tube of same radius that can replace the three tubes such that thwe rate of flow of water through the single tube equals the combined rate of flow through the three tubes is

Options

A. `(L_(1)L_(2)L_(3))/(L_(1)+L_(2)+L_(3))`
B. `(L_(1)L_(2)L_(3))/(L_(1)L_(2)+L_(2)L_(3)+L_(3)L_(1))`
C. `(L_(1)+L_(2)+L_(3))/(L_(1)L_(2)L_(3))`
D. `(L_(1)L_(2)+L_(2)L_(3)+L_(3)L_(1))/(L_(1)L_(2)L_(3))`

Answer

B

Explanation

`Q=Q_(1)+Q_(2)+Q_(3),Qalpha(1)/(l)`