Home
Class 12
PHYSICS
A cubical block of steel of each side eq...

A cubical block of steel of each side equal to 1 is floating on mercury in vessel. The densities of steel and mercury are `rho_(s) " and " rho_(m)`. The height of the block above the mercury level is given by

A

`ℓ(1+rho_s/rho_m)`

B

`ℓ(1-rho_s/rho_m)`

C

`ℓ(1+rho_m/rho_s)`

D

`ℓ(1-rho_m/rho_s)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 6

    KVPY PREVIOUS YEAR|Exercise EXERCISE|22 Videos
  • MOCK TEST 8

    KVPY PREVIOUS YEAR|Exercise EXERCISE|22 Videos

Similar Questions

Explore conceptually related problems

A cubical block of iron 5 cm on each side is floating on mercury in a vessel. (i) what is the height of the block above mercury level ? (ii) Water is poured in the vessel unitl it just covers the iron block. What is the height of water column . density of mercur 13.6 gm//cm^(3) . Density of iron 7.2 gm//cm^(3)

A cubical block of iron of side 5 cm is floating in mercury taken in a vessel. What is the height of the block above mercuery level. (rho_(Hg)=13.6g//cm^(3),rho_(Fe)=7.2g//cm^(3))

A block of density rho floats in a liquid with its one third volume immersed. The density of the liquid is

A cube of iron whose sides are of length L, is put into mercury. The weight of iron cube is W. The density of irons is rho_(1) , that of mercury is rho_(M) . The depth to which the cube sinks is given by the expression

A cubical block of copper of side 10cm is floating in a vessel containing mercury. Water is poured into the vessel so that the copper block just gets submerged. The height of water column is ( rho_(Hg) = 13.6 g//c c , rho_(Cu) = 7.3 g//c c , rho_(water) = 1gm//c c)

A cubical metal block of edge 12 cm floats in mercry with one fifth of the height inside the mercury. Water poured till the surface of the block is just immersed in it. Find the height of the block is just immersed in it. Find the height of the water column to be poured. Specific gravity of mercury =13.6.

(i) A cubical metal block of side 10cm is floating in a vessel contatining mercury. The vesel has a square cross section of side length 15cm. Water is poured into the vessel so that the metal block just gets submerged. Calculate the mass of water that was poured into the vessel. It is given that relative density of the metal and mercury are 7.3 and 13.6 respectively. (ii) In the last question, in place of water if we poured another liquid of relative density 'r' it was found that when the metal block ws just completely submerged it was no longer touching mercury. what is value of r?

A vessel is fileld with mercury to a height of 0.9 m . Barometric height is 0.7 m . mercury :

A cylindrical block of the density rho is partically immersed in a liwuid of density 3rho . The plane surface of the block remains parallel to the surface of the liquid. The height of the block is 60 m . The block perform SHM when displaced form its mean position [Use g = 9.8 m//s^(2) ]

KVPY PREVIOUS YEAR-MOCK TEST 7-EXERCISE
  1. An ice cube floats on water in a beaker with 9/10 th of its volume sub...

    Text Solution

    |

  2. N divisions on the main scale of a vernier calliper coincide with (N +...

    Text Solution

    |

  3. A cubical block of steel of each side equal to 1 is floating on mercur...

    Text Solution

    |

  4. A spherically symmetric gravitational system of particles has a mass d...

    Text Solution

    |

  5. In a thermally isolated system, two boxes filled with an ideal gas are...

    Text Solution

    |

  6. A clock which keeps correct time at 20^(@)C is subjected to 40^(@)C. I...

    Text Solution

    |

  7. A small asteroid is orbiting around the sun in a circular orbit of rad...

    Text Solution

    |

  8. An energy of 24.6 eV is required to remove one of that electrons from ...

    Text Solution

    |

  9. In a cylinder region of radius R, a uniform magnetic field is there wh...

    Text Solution

    |

  10. A particle of charge -q and mass m moves in a circular orbits of radiu...

    Text Solution

    |

  11. Moment of inertia of a uniform-disc of mass m about an axis x=a is mk^...

    Text Solution

    |

  12. A uniform rope of linear mass density lambda and length l is coiled on...

    Text Solution

    |

  13. Water flows steadily through a horizontal pipe of a variable cross-sec...

    Text Solution

    |

  14. A horizontal circular platform of radius 0.5 m and mass axis. Two mass...

    Text Solution

    |

  15. An ideal gas is expanding such that PT^(2)= constant. The coefficient ...

    Text Solution

    |

  16. A wall is made of equally thick layers A and B of different matierals...

    Text Solution

    |

  17. A particle performs SHM in a straight line. In the first second, start...

    Text Solution

    |

  18. Light of wavelength lambda(ph)falls on a cathode plate inside a vacuum...

    Text Solution

    |

  19. In figure, there is a four way key at the middle.If key is shown from ...

    Text Solution

    |

  20. A solid square plate is spun around different axes with the same angul...

    Text Solution

    |