$\text {It is supposed that the power needed to propel a large dirigible depends on the speed \(V\),}$

$\text {It is supposed that the power needed to propel a large dirigible depends on the speed \(V\) ,}$ $\text {diameter, \(D\) , length \(L\) , viscosity \(\mu\) , density \(\rho\) , and gravity \(g\) . The relationship between these}$ $\text {variables can be expressed as:}$

A) $\frac { P } { \rho V ^ { 2 } D ^ { 5 } } = f \left( \frac { D } { l } , \frac { v D } { V } \right)$
B) $\frac { P } { \rho V ^ { 2 } D ^ { 5 } } = f \left( \frac { l } { D } , \frac { v } { V D } \right)$
C) $\frac { P } { \rho V ^ { 2 } D ^ { 3 } } = f \left( \frac { l } { D } , \frac { v D } { V } \right)$
D) $\frac { P } { \rho V ^ { 3 } D ^ { 2 } } = f \left( \frac { l } { D } , \frac { v } { V D } \right)$