An incompressible fluid flows steadily through a cylindrical pipe which has radius $2r$ at point $A $ and radius $r $ at $B $ further along the flow direction. If the velocity at point $A$  is $v, $ its velocity at point $B$  is
Medium
Download our app for free and get startedPlay store
(d) From equation of continuity volume of water entering per second at $\mathrm{A}=$ volume of water exiting per second from $B$

Let $v$ be the velocity at point $B$, then

$\pi(2 R)^{2} v=\pi\left(R^{2}\right) v^{\prime}$

$v^{\prime}=4 v$

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    In a cylindrical water tank, there are two small holes $A$ and $B$ on the wall at a depth of $h_1$ , from the surface of water and at a height of $h_2$ from the bottom of water tank. Surface of water is at height of $h_2$ from the bottom of water tank. Surface of water is at heigh $H$ from the bottom of water tank. Water coming out from both holes strikes the ground at the same point $S$. Find the ratio of $h_1$ and $h_2$
    View Solution
  • 2
    An open $U$-tube contains mercury. When $13.6 \,cm$ of water is poured into one of the arms of the tube, then the mercury rise in the other arm from its initial level is ....... $cm$
    View Solution
  • 3
    Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$

    Assertion $A:$ When you squeeze one end of a tube to get toothpaste out from the other end, Pascal's principle is observed.

    Reason $R:$ A change in the pressure applied to an enclosed incompressible fluid is transmitted undiminished to every portion of the fluid and to the walls of its container.

    In the light of the above statements, choose the most appropriate answer from the options given below

    View Solution
  • 4
    Which of the following is not the characteristic of turbulent flow
    View Solution
  • 5
    The displacement of a ball falling from rest in a viscous medium is platted against time. Choose a possible option
    View Solution
  • 6
    Water is filled to a height $H$ behind a dam of width $w$. The resultant force on dam is ..............
    View Solution
  • 7
    Viscosity is the property of a liquid due to which it :
    View Solution
  • 8
    An air bubble of diameter $6\,mm$ rises steadily through a solution of density $1750\,kg / m ^3$ at the rate of $0.35\,cm / s$. The co-efficient of viscosity of the solution (neglect density of air) is $..........\,Pas$ (given, $g =10\,ms ^{-2}$)
    View Solution
  • 9
    Three liquids of equal masses are taken in three identical cubical vessels $A, B$ and $C .$ Their densities are $\rho_{A}, \rho_{B}$ and $\rho_{C} \cdot$ The force exerted by the liquid on the base of the cubical vessel is
    View Solution
  • 10
    Figure here shows the vertical cross section of a vessel filled with a liquid of density $\rho$. The normal thrust per unit area on the walls of the vessel at the point $P$, as shown, will be
    View Solution