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in Physics by (121k points)
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)–
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`

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