Two pipes such that the diameter of one is twice that of the other are used to carry water from one tank to another. Given the conditions that both the pipes have the same value of f, both tanks have different water surface elevation and minor losses being negligible the ratio of rate of flow through the two pipes should be equal to _____________

A

$$2^{\frac{3}{2}}$$

B

$$3^{\frac{2}{5}}$$

C

$$2^{\frac{5}{2}}$$

D

$$3^{\frac{5}{2}}$$