Two fluids of density ρ₁ and ρ₂ are flowing at velocity V₁ and V₂ respectively through smooth pipes of identical diameter and pressure per unit length. When the friction factor is same, the ratio ρ₁ and ρ₂ is equal to

A. $$\frac{{{V_1}}}{{{V_2}}}$$

B. $${\left( {\frac{{{V_1}}}{{{V_2}}}} \right)^2}$$

C. $${\left( {\frac{{{V_2}}}{{{V_1}}}} \right)^2}$$

D. $${\left( {\frac{{{V_2}}}{{{V_1}}}} \right)^{\frac{1}{2}}}$$

Answer: Option C