Stoke’s law states that the viscous drag force F experienced by a sphere of radius a, moving with a speed V through a fluid with coefficient of viscosity `eta`, is given by `F = 6pi"na"v`. If this fluid is flowing through a cylindrical pipe of radius r, length l and a pressure difference of P across its two ends, then the volume of water V which flows through the pipe in time t can be written as c`(V)/(t)=k((P)/(l))eta^(b)r^(c)` , where k is a dimensional constant. Correct values of a, b and c are

Options

A. a = 1, b = –1, c = 4
B. a = `–1`, b = 1, c = 4
C. a = 2, b =` –1`, c = 3
D. a = 1, b =` –2, c = –4`

Answer

A