Home
Class 11
PHYSICS
The terminal velocity V of a spherical b...

The terminal velocity V of a spherical ball of lead of radius R falling through a viscous liquid varies with R such that

A

`(V)/(R)=` Constant

B

`VR=` constant

C

`V=` constant

D

`(V)/(R^(2))=` constant

Text Solution

Verified by Experts

The correct Answer is:
4
`(V)/(R^(2))=(2(rho-rho_(0))g)/(eta),(V)/(R^(2))=` constant
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise Level 2 (H.W)|39 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise Illustration|62 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise integer Type Questions|25 Videos

  • MATHEMATICAL REVIEW & PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|13 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (H.W)|24 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 sphere of radius R, falling in a viscous fluid, is proportional to

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.

After terminal velocity is reached the acceleration of a body falling thorugh a viscous fluid is:

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?

Terminal velocity (V) of a spherical object varies with a radius of object (r) -

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.

Define terminal velocity and obtain an expression for the terminal velocity in case of a sphere falling through a viscous liquid. Also show graphically the variation of velocity with time.

The terminal velocity of a sphere moving through a viscous medium is :

NARAYNA-MECHANICAL PROPERTIES OF FLUIDS-Level 1 (H.W)
  1. The flow rate from a tap of diameter 1.25 cm is 3 L//min. The coeffici...

    Text Solution

    |

  2. Two spherical raindrops of equal size are falling vertically through a...

    Text Solution

    |

  3. The terminal velocity V of a spherical ball of lead of radius R fallin...

    Text Solution

    |

  4. A 10 cm long wire is placed horizontally on the surface of water and i...

    Text Solution

    |

  5. A drop of liquid pressed between two glass plates spreads to a circle ...

    Text Solution

    |

  6. A squre wire frame of side L is dipped in a liquid. On taking out , a ...

    Text Solution

    |

  7. The surface tension of soap solution is 0.3 (N)/(m). The work done in ...

    Text Solution

    |

  8. The work done in increasing the size film with dimensions 8cm xx3.75xm...

    Text Solution

    |

  9. The work done to get n smaller identical drops to form a big spherical...

    Text Solution

    |

  10. The work done to blow a bubble is W. The extra work to be done to doub...

    Text Solution

    |

  11. Water rises to a height fo 6 cm in a capillary tube of radius r. If th...

    Text Solution

    |

  12. When a capillary tube is immersed in ethyl alcohol whose surface tensi...

    Text Solution

    |

  13. Water rises in a capillary tube through a height l. If the tube is inc...

    Text Solution

    |

  14. A long cylinderical glass vessel has a small hole of radius r at its b...

    Text Solution

    |

  15. Water raises to a height of 10 cm in a capillary tube and mercury fall...

    Text Solution

    |

  16. A glass capillary tube of inner diameter 0.28 mm is lowered vertically...

    Text Solution

    |

  17. A capillary tube of radius r is immersed in water and water rises in t...

    Text Solution

    |

  18. The surface tension of soap solution is 0.05Nm^(-1) if the diameter of...

    Text Solution

    |

  19. The excess pressure inside a small air bubble of radius 0.05 mm in wat...

    Text Solution

    |

  20. What should be the pressure inside a small air bubble of 0.1 mm radius...

    Text Solution

    |