Home
Class 11
PHYSICS
The rate of flow of liquid in a tube of ...

The rate of flow of liquid in a tube of radius r, length l, whose ends are maintained at a pressure difference P is `V = (piQPr^(4))/(etal)` where `eta` is coefficient of the viscosity and Q is

A

8

B

`1/8`

C

16

D

`1/16`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Mechanical Properties of fluids

    SL ARORA|Exercise Exercise|459 Videos
  • Mathematical tools

    SL ARORA|Exercise Exercise|20 Videos
  • Mechanical Properties of Solids

    SL ARORA|Exercise Example|113 Videos

Similar Questions

Explore conceptually related problems

The rate of flow of liquid ina tube of radius r, length l, whose ends are maintained at a pressure difference P is V = (piQPr^(4))/(etal) where eta is coefficient of the viscosity and Q is

The rate flow (V) of a liquid through a pipe of radius (r ) under a pressure gradient (P//I) is given by V = (pi)/(8)(P R^4)/(I eta), Where eta is coefficient of visocity of the liquied. Check whether the formula is correct or not.

The rate of flow Q (volume of liquid flowing per unit time) through a pipe depends on radius r , length L of pipe, pressure difference p across the ends of pipe and coefficient of viscosity of liquid eta as Q prop r^(a) p^(b) eta^(c ) L^(d) , then

The rate of flow of liquid through a capillary tube of radius r is V, when the pressure difference across the two ends of the capillary is p. If pressure is increased by 3p and radius is reduced to r/2, then the rate of flow becomes

Derive an expression for the rate of flow of a liquid through a capillary tube. Assume that the rate of flow depends on i) pressure gradient (P/l) , (ii) The radius, r and (iii) the coefficient of viscosity , eta . The value of the proportionally constant k =pi/8

The rate of steady volume flow of water through a capillary tube of length ' l ' and radius ' r ' under a pressure difference of P is V . This tube is connected with another tube of the same length but half the radius in series. Then the rate of steady volume flow through them is (The pressure difference across the combination is P )

Water flows through a capillary tube of radius r and length l at a rate of 40 mL per second, when connected to a pressure difference of h cm of water. Another tube of the same length but radius r//2 is conncected in series with this tube and the combination is connected to the same pressure head. Calculate the pressure difference across each tube and the rate of flow of water through the combination.

Water flows through a capillary tube of radius r and length at a rate of 40 ml per second, when connected to a pressure difference of h cm of water. Another tube of the3 some length but radius. (r)/(2) is connected in series with this tube and the combination is connected to the same pressure head.[density of water is rho ]

When a liquid moves steadily under some pressure through a horizontal tube, it moves in the form of cylindrical layers coaxial to the ends of the tube. The velocity of different layers is different. The velocity of the layer is maximum along the axis of the tube and it decreases as one moves towards the walls of the tube. According to Poiseuille, the rate of flow of liquid through a horizontal capillary tube varies as the relation V alpha (pr^(4))/(eta l) where l and r are the length and radius of the tube and p is the pressure different between the ends of the tube and is the constant of proportionality. (pi pr^(4))/(8 etal) is dimensionally equivalent to (R is the resistance)

SL ARORA-Mechanical Properties of fluids-Exercise
  1. The unit of the coefficient of viscosity in S.I. system is

    Text Solution

    |

  2. Motion of fluid in a tube is best descrined by

    Text Solution

    |

  3. The rate of flow of liquid in a tube of radius r, length l, whose ends...

    Text Solution

    |

  4. Two capillary of length L and 2L and of radius R and 2R are connected ...

    Text Solution

    |

  5. The rate of flow of water in a capillary tube of length l and radius r...

    Text Solution

    |

  6. An object is moving through the liquid. The viscous damping force acti...

    Text Solution

    |

  7. A body of density D1 and mass M is moving downward in glycerine of den...

    Text Solution

    |

  8. A steel ball is dropped in oil, then

    Text Solution

    |

  9. A sphere of mass M and radius R is falling in a viscous fluid. The ter...

    Text Solution

    |

  10. The ratio of the terminal velocities of two drops of radii R and R//2 ...

    Text Solution

    |

  11. The radii of two drops are in the ratio of 3 : 2, their terminal veloc...

    Text Solution

    |

  12. Two rain drops of same radius r falling with terminal velocity v merge...

    Text Solution

    |

  13. Which one is not a dimensional number ?

    Text Solution

    |

  14. The Reynold's number for fluid flow in a pipe is independent of

    Text Solution

    |

  15. What is meant by critical velocity of a liquid?

    Text Solution

    |

  16. The water flows form a tap of diameter 1.25 cm with a rate of 5xx10^(-...

    Text Solution

    |

  17. While studying about fluid mechanics, the equations and postulates sta...

    Text Solution

    |

  18. Bernoulli's equation is conservation of

    Text Solution

    |

  19. An aeroplane gets its upward lift due to a phenomenon described by the

    Text Solution

    |

  20. Water flows along horizontal pipe whose cross-section is not constant....

    Text Solution

    |