Home
Class 12
PHYSICS
A vertical uniform U tube open at both e...

`A` vertical uniform `U` tube open at both ends contains mercury. Water is poured in one limb until the level of mercury is depressed `2cm` in that limb. What is the length of water column when this happens.

Text Solution

Verified by Experts

The correct Answer is:
54.4cm


`lxxrhoxxg=4xx13.6xxrho_(w)xxg implies l=54.4cm`
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    BANSAL|Exercise EXERCISE # II|18 Videos
  • FLUID MECHANICS

    BANSAL|Exercise EXERCISE # III|18 Videos
  • FLUID MECHANICS

    BANSAL|Exercise PYQS AIEEE|10 Videos
  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Additional topic|70 Videos

Similar Questions

Explore conceptually related problems

A U-shaped tube open to the air at both ends contains some mercury. A quantity of water is carefully poured into the left arm of the U-shaped tube until the vertical height of the water column is 15.0 cm . (a) What is the gauge pressure at the water mercury interface ? (b) Calculate the vertical distance h from the top of the mercury in the right hand arm of the tube to the top of the water in the left-hand arm. .

An open U -tube of uniform cross-section contains mercury. When 27.2 cm of water is poured into one limb of the tube, (a) how high does the mercury rise in the limb from its initial level ? (b) what is the difference in levels of liquids of the two sides ? ( rho_(w) =1 and rho_(Hg) =13. 6 units)

An ideal gas is trapped between a mercury column and the closed-end of a narrow vertical tube of uniform base containing the cloumn. The upper end of the tube is open to the atmosphere. the atmosphric pressure equals 76cm of mercury. The lenghts of the mercury column respectively. What will be the length of the air column when the tube is tilted slowly in a vertical plane through an angle of 60^(@) ? Assume the temperature to remain constant.

A horizontal uniform glass tube of 100cm length is sealed at both ends contains 10 cm mercury column in the middle , the temperature and pressure of air on either side of mercury column are repectively 31^(@)C and 76cm of mercury, if the air column at one end is kept at 0^(@)C and the other end at 273^(@)C then pressure if air which is 0^(@)C is (in cm of Hg )

An open U-tube contains mercury. When 11.2 cm of water is poured into one of the arms of the tube, how high does the mercury rise in the other arm from its initial level ?

If the length of the mercury column in a mercury barometer is 76 cm, what is the equivalent height of the water column ?

An ideal gas is trapped between a mercury column and the closed lower end of a narrow vertical tube of uniform bore. The upper end of the tube is open to atmosphere (atmospheric pressure = 76 cm of Hg). The length of mercury and the trapped gas columns are 20 cm and 43 cm respectively. What will be the length of the gas column when the tube is titled slowly at constant temperature in a vertical plane through an angle of 60^(@) ?

Water and oil are poured into the two limbs of a U-tube containig mercury. The interface of the mercury and the liquids are at the same height in both limbs. Determine the height of the water column h_(1) if that of the oil h_(2)=20cm . The density of the oil is 0.9 . .

A uniform tube closed at one end, contains a pallet of mercury 4 cm long. When the tube is kept vertically with closed end upwards, the length of air column between closed end and mercury pallet is 10 cm. the tube is inverted so that open end becomes upwards. find the length of trapped air column (in cm) trapped. take atmospheric pressure 76 cm of Hg.

BANSAL-FLUID MECHANICS-EXERCISE # I
  1. A soild ball of density half that of water falls freely under gravity ...

    Text Solution

    |

  2. For the system shown in the figure the cylinder on the left at L has a...

    Text Solution

    |

  3. (a) A spherical tank of 1.2m radius is half filled with oil of relaive...

    Text Solution

    |

  4. A test tube of thin walls has some lead shots in it at its bottom and ...

    Text Solution

    |

  5. An open cubical tank completely filled with water is kept on a horizon...

    Text Solution

    |

  6. Computer the work which must be performed to slowly pump the water out...

    Text Solution

    |

  7. A vertical uniform U tube open at both ends contains mercury. Water is...

    Text Solution

    |

  8. An expansible balloon filled with air floats on the surface of a lake ...

    Text Solution

    |

  9. In a sonometer wire, the tension is maintained by suspending a 50.7 kg...

    Text Solution

    |

  10. A large tank is filled with two liquids of specific gravities 2sigma a...

    Text Solution

    |

  11. A jet of water having veloctiy =10m//s and stream cross-section =2cm^(...

    Text Solution

    |

  12. A laminar stream is flowing vertically down from a tap of cross-sectio...

    Text Solution

    |

  13. A cylindrical vessel open at the top is 20cm high and 10 cm in diamete...

    Text Solution

    |

  14. Calculate the rate of flow of glycerine of density. 1.25xx10^(3) kg//m...

    Text Solution

    |

  15. A ball collides elastically with a massive wall moving towards it with...

    Text Solution

    |

  16. A spherical ball of radius 3xx10^(-4)m and density 10^(4)kg//m^(3) fal...

    Text Solution

    |

  17. A spherical ball of density rho and radius 0.003m is dropped into a tu...

    Text Solution

    |

  18. Two narrow bores of diameters 3.0mm and 6.0 mm are joined together to ...

    Text Solution

    |

  19. A soap bubble has radius R and thickness d(ltltR) as shown. It collaps...

    Text Solution

    |

  20. Prove that if two bubbles of radii r(1) and r(2)(r(1)ltr(2)) come in c...

    Text Solution

    |