Home
Class 11
PHYSICS
Define terminal velocity. Show that the ...

Define terminal velocity. Show that the terminal velocity `upsilon` of a sphere of radius r, density `rho` falling vertically through a viscous fluid of density `sigma` and coefficient of viscosity `eta` is given by `upsilon = 2 / 9 ((rho - sigma)r^2 g) / eta` Use this formula to explain the observed rise of air bubbles in a liquid.

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 terminal velocity of small sized spherical body of radius r falling vertically in a viscous liquid is given by the following proportionality

The terminal velocity of a water drop of radius 0.01 mm falling through air is 1.12 cm/s. If the density of air is neglected, the coefficient of viscosity of air is [density of water =10^(3) kg//m^(3), g=9.8m//s^(2)]

A small metal sphere of radius a is falling with a velocity upsilon through a vertical column of a viscous liquid. If the coefficient of viscosity of the liquid is eta , then the sphere encounters an opposing force of

A small steel ball of mass m and radius r is falling under gravity through a viscous liquid of coefficient of viscosity eta . If g is the value of acceleration due to gravity. Then the terminal velocity of the ball is proportional to (ignore buoyancy)

Neglecting the density of air, the terminal velocity obtained by a raindrop of radius 0.3 mm falling through the air of viscosity 1.8 xx10^(-5) N//m^(2) will be

A small spherical ball of radius r falls with velocity upsilon through a liquid having coeffiecinet of viscosity eta. find viscous darg F on the wall if it depends or r, upsilon, eta. Take K = 6 pi

The terminal velocity v of a small steel ball ofradius r fal ling under gravity through a column ofa viscous liquid of coefficient of viscosity eta depends on mass of the ball m, acceleration due to gravity g, coefficient of viscosity eta and radius r. Which of the following relations is dimensionally correct?

Define coefficient of viscosity and give its SI unit. On what factors does the terminal velocity of a spherical ball falling through a viscous liquid depend ? Derive the formula upsilon_t = (2 r^2 g)/(9 eta) (rho - rho^1) where the symbols have their usual meanings.

A solid sphere, of radius R acquires a terminal velocity v_1 when falling (due to gravity) through a viscous fluid having a coefficient of viscosity eta he sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity v _2 when falling through the same fluid, the ratio (v_1//v_2 ) equals:

SL ARORA-Mechanical Properties of fluids-Exercise
  1. Discuss the variation of g with height and depth.

    Text Solution

    |

  2. Define coefficient of viscosity and give its SI unit. On what factors ...

    Text Solution

    |

  3. Define terminal velocity. Show that the terminal velocity upsilon of a...

    Text Solution

    |

  4. In a streamline flow

    Text Solution

    |

  5. Write any two properties of streamlines.

    Text Solution

    |

  6. Derive equation of continuity.

    Text Solution

    |

  7. Units of coefficient of viscosity are

    Text Solution

    |

  8. Define terminal velocity and obtain an expression for the terminal vel...

    Text Solution

    |

  9. Bernouli's equation for a steady streamline flow of a non-viscous inco...

    Text Solution

    |

  10. State and prove Bernoulli's theorem.

    Text Solution

    |

  11. A cylindrical vessel of uniform cross-section contains liquid upto the...

    Text Solution

    |

  12. A liquid is in a streamline flow through a pipe of non-uniform cross-s...

    Text Solution

    |

  13. Bernoulli's Equation

    Text Solution

    |

  14. It is observed that during storm, the roof's of some houses are blown ...

    Text Solution

    |

  15. Derive Stokes' law dimensionally.

    Text Solution

    |

  16. Define surface tension and surface energy. Write units and dimensions ...

    Text Solution

    |

  17. Show that there is always an excess pressure on the concave side of th...

    Text Solution

    |

  18. A : The spiders and insects can run on the surface of water. R : Buoy...

    Text Solution

    |

  19. The excess pressure inside a soap bubble is

    Text Solution

    |

  20. Define the term surface energy. Write down its dimensional formula and...

    Text Solution

    |