Analysis of a flow phenomenon in a system requires the following variables

Q. Analysis of a flow phenomenon in a system requires the following variables:

i. Pressure [M L-1 T ^-2]

ii. Velocity of the fluid [L T ^-1]

iii. Size of the system [L]

ivDensity of the fluid [M L^-3]

v. Viscosity of the fluid [M L^-1 T ^-1]

According to Buckingham Pi theorem (dimensional analysis) what is the number of independent DIMENSIONLESS variables needed to describe this system?

(A) 2                           (B) 3                           (C) 4                           (D) 5

Ans: 2