A liquid drop placed on a horizontal plane has a near spherical shape (slightly flattened due to gravity). Let R be the radius of its largest horizontal section. A small disturbance causes the drop to vibrate with frequency v about its equilibrium shape. By dimensional analysis the ratio `(v)/(sqrt(sigma//rho R^(3)))` can be (Here `sigma` is surface tension, `rho` is density, g is acceleration due to gravity, and k is arbitrary dimensionless constant)–

Options

A. `k rhog R^(2)//sigma`
B. `k rho R^(2)//g sigma`
C. `k rho R^(3)//g sigma`
D. `k rho//g sigma`

Answer

A