Home
Class 11
PHYSICS
If the time period (T)of vibration of a ...

If the time period `(T)`of vibration of a liquid drop depends on surface tension `(S)` , radius`( r )` of the drop , and density `( rho )` of the liquid , then find the expression of `T`.

Text Solution

Verified by Experts

The correct Answer is:
`t=ksqrt((rhor^(3))/s)`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND DIMENSION

    NN GHOSH|Exercise EXERCISE|26 Videos

  • THERMOMETRY

    NN GHOSH|Exercise All Questions|9 Videos

  • VECTOR AND SCALARS

    NN GHOSH|Exercise All Questions|48 Videos

Similar Questions

Explore conceptually related problems

The time period (T) of small oscillations of the surface of a liquid drop depends on its surface tension (s), the density (rho) of the liquid and it's mean radius (r) as T = cs^(x) rho^(y)r^(z) . If in the measurement of the mean radius of the drop, the error is 2 % , the error in the measurement of surface tension and density both are of 1% . Find the percentage error in measurement of the time period.

A spherical liquid drop is placed on a horizontal plane . A small distrubance cause the volume of the drop to oscillate . The time period oscillation (T) of the liquid drop depends on radius (r) of the drop , density (rho) and surface tension tension (S) of the liquid. Which amount the following will be be a possible expression for T (where k is a dimensionless constant)?

Internal pressure inside a liquid drop of radius r and surface tension T is

The excess pressure inside the drop of a liquid of surface tension T and radius of drom r is

If the velcoity of surface wave (v) depends upon surface tension (T), coefficient of visosity (eta) and density (rho) then the expression for v will be .

Eight spherical droplets, each of radius r of a liquid of density rho and surface ternsion T coalesce to form one big drop. If s is the specific heat of the liquid then the rise in the temperature of the liquid in this process is

The excess pressure in dyne/ inside a liquid drop of radius 2 mm and fsurface tension T is

The frequency (V) of an oscillatingj drop may depends upon radius (r ) of the drop density (rho) of liquid and the surface tension (S) of the liquid. Deduce of formula dimensionally.

NN GHOSH-UNITS AND DIMENSION-EXERCISE
  1. Assuming that the largest mass that can be moved by a flowing river de...

    Text Solution

    |

  2. The velocity of sound in a gas depends on its pressure and density . O...

    Text Solution

    |

  3. The viscous force on a spherical body, when it moves through a viscous...

    Text Solution

    |

  4. The rate of volume flow of water through a canal is found to be a func...

    Text Solution

    |

  5. Show that the following are the dimensions of energy. (i)mc^2 where ...

    Text Solution

    |

  6. Show that RC, where R is the resistance and C is the capacitance, is o...

    Text Solution

    |

  7. Using force (F), length (L) and time (T) as base quantities , find the...

    Text Solution

    |

  8. If the units of length and force be increased three times, show that t...

    Text Solution

    |

  9. A gas bubble, from an explosion under water, oscillates with a period ...

    Text Solution

    |

  10. If the time period (T)of vibration of a liquid drop depends on surface...

    Text Solution

    |

  11. In the formula X = 3YZ^(2),X and Z have dimensions of capacitance and ...

    Text Solution

    |

  12. If the velocity of light c, the gravitational constant G and Planck co...

    Text Solution

    |

  13. The viscosity eta of a gas is determined by its density rho, molecular...

    Text Solution

    |

  14. Assuming that the vibration frequency of atoms in a crystal depends on...

    Text Solution

    |

  15. If the resistance experienced by a spherical body moving through a liq...

    Text Solution

    |

  16. The critical angular velocity omegac of a cylinder inside another cyli...

    Text Solution

    |

  17. Find the physical quantity whose value depends on the velocity of ligh...

    Text Solution

    |

  18. The force of attraction between two points 1 kg masses Im apart propos...

    Text Solution

    |

  19. Find dimensionally the relation between reverberation period t of a ro...

    Text Solution

    |

  20. The resistance R to the motion of a ship depends on the velocity v of ...

    Text Solution

    |