Question

An ideal fluid of density 800kgm^–3, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to \(\frac{a}{2}\). The pressure difference between the wide and narrow sections of pipe is 4100 Pa. At wider section, the velocity of fluid is\(\frac{\sqrt{x}}{6}\) ms¹ for x=_______. (Given g=10 ms^-2)

Answer 1

Correct Answer: 363

Applying Bernoulli’s theorem: \(P_1 + \rho g h + \frac{1}{2} \rho v^2 = P_2 + \frac{1}{2} \rho (2v)^2\)

Putting the values, \(4100=800(\frac{3}{2}v^2−10)\)
\(⇒v=\frac{\sqrt{363}}{6}m/s\)