Home
Class 11
PHYSICS
A vertical U-tube has one of the its arm...

A vertical U-tube has one of the its arms bent at `theta` from the vertical and then filled with a liquid of density `rho` up to a height h in the vertical arm. Calculate the period of oscillations of the liquid when disturbed a little and released.

Text Solution

Verified by Experts

The correct Answer is:
`T=2pisqrt(h/(g cos theta))`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    NN GHOSH|Exercise Eexercies|39 Videos

  • SIMPLE AND COMPOUND PENDULUM

    NN GHOSH|Exercise Exercise|24 Videos

  • SPECIFIC HEAT CAPACITY OF GASES

    NN GHOSH|Exercise All Questions|17 Videos

Similar Questions

Explore conceptually related problems

A triangular lamina of area A and height h is immersed in a liquid of density rho in a vertical plane with its base on the surface of the liquid. The thrust on the lamina is.

A wooden ball of density sigma is released from the bottom of a tank which is filled with a liquid of density rho (rho>sigma) up to a height h_(1) . The ball rises in the liquid, emerges from its surface and attains a height h_(2) in air.If viscous effects are neglected,the ratio h_(2)/h_(1) is

A vertical communicating tube contains a liquid of density rho . If it moves with a horizontal acceleration a , pressure at A is equal to :

A U- tube is made up of capillaries of bores 1 mm and 2 mm respectively. The tube is held vertically and partically filled with a liquid of surface tension 49 "dyne"//"cm" and zero contact angle. Calculate the density of the liquid of the difference in the levels of the meniscus is 1.25 cm .

A rectangular block of mass m and area of cross-section A floats in a liquid of density rho . If it is given a small vertical displacement from equilibrium, it undergoes oscillation with a time period T. Then

A vertical U-tube contains liquid of uniform density upto a height of 3 cm. If the liquid in one arm is depressed and then released, it performs S.H.M. in the tube. Calculate its time period of oscillations. Assume U-tube to be of uniform cross section. Take, g = 980 cm//s^(2)

A large vessel of height H is filled with a liquid of density rho upto the brim. A small hole of radius r is made at the side vertical face, close to the base. The horizontal force is required to stop the gushing of liquid is

NN GHOSH-SIMPLE HARMONIC MOTION-Eexercies
  1. If the mass of a spring, m, is not negligible but small compared to th...

    Text Solution

    |

  2. A solid cylinder of mass m is attached to a horizontal spring with for...

    Text Solution

    |

  3. A point executes SHM about a fixed point O. Its distance from O at a c...

    Text Solution

    |

  4. A plank rests symmetrically on two cylinders which are separated by a ...

    Text Solution

    |

  5. A horizontal disc is oscillating in its own plane harmonically with am...

    Text Solution

    |

  6. A body of mass m falls from a height h on to the pan of a spring balan...

    Text Solution

    |

  7. A particle executes SHM with period T about a point O. It passes throu...

    Text Solution

    |

  8. Two particles are in SHM with the same amplitude and frequency along t...

    Text Solution

    |

  9. A small block of mass m resting at the bottom of a hemispherical cup o...

    Text Solution

    |

  10. If in the above problem the block is replaced by a small spherical bal...

    Text Solution

    |

  11. A vertical U-tube has one of the its arms bent at theta from the verti...

    Text Solution

    |

  12. A block of mass M executes SHM with amplitude a and time period T. Whe...

    Text Solution

    |

  13. A plank with a body of mass m places on it starts moving straight up ...

    Text Solution

    |

  14. A small sleeve of mass m=1//10kg can move along the diameter of a hori...

    Text Solution

    |

  15. A string of length l=1m and tensioned by a weight M = 4kg has two mass...

    Text Solution

    |

  16. A block of mass m(1)=1kg is attached to a spring of force constant k=2...

    Text Solution

    |

  17. A rubber cord of force constant k = 100 N/m and l=1m is attached to a ...

    Text Solution

    |

  18. Find the frequency of oscillations of the system in the figure. The ba...

    Text Solution

    |

  19. A pipe in the form of a half ring is placed on a horizontal surface. I...

    Text Solution

    |

  20. An endless cord consists of lengths 2l and 2l^(') and their masses per...

    Text Solution

    |