Correct Bernoulli's equation is (symbols have their usual meaning) :
(1) \(\mathrm{P}+\mathrm{mgh}+\frac{1}{2} \mathrm{mv}^{2}=\) constant
(2) \(P+\rho g h+\frac{1}{2} \rho v^{2}=\) constant
(3) \( \mathrm{P}+\rho g h+\rho v^{2}=\) constant
(4) \( P+\frac{1}{2} \rho g h+\frac{1}{2} \rho v^{2}=\) constant