Determine the dimensions of the following combinations of physical quantities, where p represents pressure, ρ is density, V is velocity, g is acceleration due to gravity, t is time, h and l represent...

Determine the dimensions of the following combinations of physical quantities, where p represents pressure, ρ is density, V is velocity, g is acceleration due to gravity, t is time, h and l represent lengths, and ν is kinematic viscosity

1. Find the values of the exponents a, b, and c, which make each of the following combinations of physical quantities non-dimensional

In addition to the symbols in problem 3.1, D represents diameter, μ is dynamic viscosity, and σ is surface tension.