Question

Which of the following equations is dimensionally incorrect ?

Where t = time, h = height, s = surface tension, θ = angle, ρ = density, a, r = radius, g = acceleration due to gravity, v = volume , p = pressure, W = work done, Γ = torque, ∈ = permittivity, E = electric field, J = current density, L = length.

Answer 1

Correct answer is 1.

(i) \(\frac{\pi p a^4}{8\eta L} = \frac{dv}{dt}\) = Volumetric flow rate

(poiseuille’s law)