Fluid Mechanics

A steady flow of a liquid of density \(\rho\) is shown in figure. At point 1, the area of cross-section is \(2 A\) and the speed of flow of liquid is \(\sqrt{2} \mathrm{~ms}^{-1}\). At point 2 , the area of cross-section is \(A\). Between the points 1 and 2, the pressure difference is \(100 \mathrm{~Nm}^{-2}\) and the height difference is 10 cm . The value of \(\rho\) is (Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\))