Home
Class 11
PHYSICS
A solid rubber ball of density d and rad...

A solid rubber ball of density `d` and radius `R` falls vertically through air. Assume that the air resistance acting on the ball is `F=KRV` where K is constant and V is its velocity. Because of this air resistance the ball attains a constant velocity called terminal velocity `v_(T)` after some time. Then `V_(T)`

A

`(4piR^(2)dg)/(3K)`

B

`(3K)/(4piR^(2)dg)`

C

`(4)/(3)(pir^(3)dg)/(K )`

D

`pirdgk`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - I - (C.W) (PRESSURE AND PASCAL.S LAW)|9 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - I - (C.W) (EQUATION OF CONTINUITY, BERNOULLI.S THEOREM AND APPLICATIONS)|6 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise C.U.Q (TORRICELLI.S THEOREM AND VISCOSITY)|29 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

A solid ball of density rho_(1) and radius r falls vertically through a liquid of density rho_(2) . Assume that the viscous force acting on the ball is F = krv , where k is a constant and v its velocity. What is the terminal velocity of the ball ?

A ball is thrown vertically with some velocity . A constant air resistance acts. If the time of ascent is t_(1) and that of descent is t_(2) , then

A person sitting in an open car moving at constant velocity throws a ball vertically up into air. The ball falls

A ball is thrown vertically upwards in air. If the air resistance can not be neglected (Assume it be directly proportionalto velocity) thenthe acceleration of the ball at the highest point will be :

A particle moves with an initial velocity V_(0) and retardation alpha v , where alpha is a constant and v is the velocity at any time t. Velocity of particle at time is :

A ball is thrown vertically upward with a velocity u from balloon descending with a constant velocity v. The ball will pass by the balloon after time

A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity eta . After some time the velocity of the ball attains a constant value known as terminal velocity upsilon_T . The terminal velocity depends on (i) the mass of the ball m (ii) eta , (iii) r and (iv) acceleration due to gravity g . Which of the following relations is dimensionally correct?

A small spherical ball falling through a viscous medium of negligible density has terminal velocity v. Another ball of the same mass but of radius twice that of the earlier falling through the same viscous medium will have terminal velocity

NARAYNA-MECHANICAL PROPERTIES OF FLUIDS-C.U.Q(POISEUILLE.S EQUATION)
  1. After terminal velocity is reached the acceleration of a body falling ...

    Text Solution

    |

  2. A small ball is dropped in a viscous liquid. Its fall in the liquid is...

    Text Solution

    |

  3. A solid rubber ball of density d and radius R falls vertically through...

    Text Solution

    |

  4. The terminal velocity of a small ball falling in a viscous liquid depe...

    Text Solution

    |

  5. A ball is dropped into coaltar. Its velocity time curve will be

    Text Solution

    |

  6. Two needles are floating on the surface of water. A hot needle when to...

    Text Solution

    |

  7. When there are no external forces, shape of the liquid is determined b...

    Text Solution

    |

  8. In a gravity free space, shape of a large drop of liquid is

    Text Solution

    |

  9. Liquid drops acquire spherical shape due to

    Text Solution

    |

  10. A capillary tube, made of glass is dipped into mercury. Then

    Text Solution

    |

  11. The height upto which water will rise in a capillary tube will be:

    Text Solution

    |

  12. At critical temperature surface tension becomes

    Text Solution

    |

  13. The fundamental quantity which has the same power in the dimensional f...

    Text Solution

    |

  14. Small droplets of a liquid are usually more spherical in shape than la...

    Text Solution

    |

  15. Mercury does not wet glass, wood or iron because

    Text Solution

    |

  16. The surface tension of a liquid at its boiling point is

    Text Solution

    |

  17. The addition of soap changes the surface tension of water to T(1) and ...

    Text Solution

    |

  18. Surface tension of water is T(1). When oil spreads on water surface te...

    Text Solution

    |

  19. Two pieces of glass plate one upon the other with a little water betwe...

    Text Solution

    |

  20. The quantity on which the rise of liquid in a capillary tube does not ...

    Text Solution

    |