A cylindrical vessel of area of cross-section A is filled with water to a height H. It has capillary tube of length l and radius r fitted horizontally at its bottom. If the coeffiecient of viscosity of water is `eta`, then time required in which level will fall to a height `(H)/(2)` is (density of water is `rho`)

Options

A. `(eta//r^(2))/(4Arho)1n (2)`
B. `(4 eta//r^(4))/(pi g A rho) ln ((1)/(2))`
C. `(8 eta//A)/(rho pi g r^(4)) ln (2)`
D. `(4 Heta//rho)/(pi g r^(4))ln (2)`

Answer

C