Home
Class 11
PHYSICS
A container contains a liquid whose dens...

A container contains a liquid whose density varies from free surface ar p =ax+ b where `a=4xx10^(3) kgm^(-4) and b= =10^(-3)` cylindrical solid of length l=0.75 m and denssity `sigma=0.5xx10^(3) kgm^(-3)` is floated in the liquid. Calculate the length of the cylinder inside the liquid .

Text Solution

Verified by Experts

The correct Answer is:
0.14 m
Promotional Banner

Topper's Solved these Questions

  • HYDROSTATICS

    NN GHOSH|Exercise EXERCISES|59 Videos

  • HYDRODYNAMICS

    NN GHOSH|Exercise EXERCISES|19 Videos

  • INTENSITY AND PITCH OF MUSICAL NOTES

    NN GHOSH|Exercise EXERCISE|14 Videos

Similar Questions

Explore conceptually related problems

Calculate the moment of inertia of a cylinder of length 1.5 m , radius 0.05m and density 8 xx 10^(3) kg//m^(3) about the axis of the cylinder.

The speed of sound in a liquid of density 2 xx 10^(3) kg//m^(3) is 1000 m/s. Determine the bulk modulus of elasticity of the liquid.

Find the radius of atom: Edge length = 405pm, density = 2.7xx10^3 kgm^(-3) , atomic mass = 2.7xx10^(-2)kg

A metallic sphere floats in immiscible mixture of water (density 10^(3) kgm^(-3)) and a liquid (density 8xx10^(3) kgm^(-3)) such that its (2//3) part is in water and (1//3) part in the liquid. The density of the metal is

There is a conical pipe of radii of its two ends as 0.2m and 0.02m with 20 N//m^(2) as the pressure difference along its length. A liquid of density 1.00 xx 10^(3) "kg/m"^(3) is flowing through the pipe. Calculate the rate of flow of liquid through the pipe.

0.5xx10^(-4)xx0.3xx10^(-3)xx10

Calculate the root mean square velocity of the molecules of hydrogen at 0^(@)C and 100^(@)C . Density of hydrogen at NTP =0.0896kgm^(-3) and density of mercury =13.6xx10^(3)kgm^(-3)

The speed of sound in a liquid is 1500 ms^(-1) .The density of the liquid is 1.0xx10^(3) kg m^(-3) .Determine the bulk modulus of elasticity of the liquid.

NN GHOSH-HYDROSTATICS-EXERCISES
  1. A beaker containing water (weighing 150 g) is placed on the pan of a b...

    Text Solution

    |

  2. A beaker containing water is placed on the pan of a balance which show...

    Text Solution

    |

  3. A boat flaoting in a water tank is carrying a number of large stones. ...

    Text Solution

    |

  4. A breaker filled with water up to the brim contanis a piece of ice flo...

    Text Solution

    |

  5. A man ina boat drink water from alake. Will the level of water of the ...

    Text Solution

    |

  6. A man is a boat scoops out a stone from the bottom o f a lake and put...

    Text Solution

    |

  7. In problem 43 if the piece of ice contains a piece of brass, will the...

    Text Solution

    |

  8. IN problem 43 , what difference will be observed (a) if the water is h...

    Text Solution

    |

  9. In problem 43 , if the piece of ice contains a piece of cork . Will wa...

    Text Solution

    |

  10. An ideal gas is trapped between a mercury column and the closed-end of...

    Text Solution

    |

  11. A vertical cylinder of total lwgth 100 cm is closed at the lower end a...

    Text Solution

    |

  12. Two spheres of volume 250 cc each but of relative densities 0.8 an d 1...

    Text Solution

    |

  13. Two non - viscous, incompressible and immiscible liquids of densities ...

    Text Solution

    |

  14. A common hydrometer has a small portion of its bulb rubbed off due to ...

    Text Solution

    |

  15. find the density of air at any height and hence the height at which it...

    Text Solution

    |

  16. an oil tanker moving with speed v decelerates uniformly and comes to a...

    Text Solution

    |

  17. the base of cylindrical vessel is hemesphericl in shape with rdius R ...

    Text Solution

    |

  18. A lipuid is poured into a cylindrical vessel of height H and mass M. t...

    Text Solution

    |

  19. A container contains a liquid whose density varies from free surface a...

    Text Solution

    |

  20. A long metal rod of length I and density p is held vertically with its...

    Text Solution

    |