Bernoulli's Theorem and its Applications
By Consider the streamline flow of an incompressible fluid of density $\rho$ through a pipe of varying height and cross-sectional area. The fluid pressure ($P$), fluid velocity ($v$) and height ($h$) at two points on a streamline are related by \begin{align} P_1+\frac{1}{2} \rho v_1^2+ \rho g h_1 = P_2+\frac{1}{2} \rho v_2^2+ \rho g h_2 \end{align}
Solved Problems from IIT JEE
- Water is filled in a beaker upto a height of 3m (IIT JEE 2005)
- Water from a tap emerges vertically downwards (IIT JEE 1998)
- A spray gun is shown in the figure (IIT JEE 2014)
- A non-viscous liquid of constant density (IIT JEE 1997)
- A large open top container (IIT JEE 1997)
- A container of large uniform (IIT JEE 1995)
- A liquid of density 900 kg/m3 is filled in a cylindrical tank (IIT JEE 2003)
