Home
Class 11
PHYSICS
A cubical block of copper of side 10cm i...

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

1.25 cm

B

2.5cm

C

5cm

D

7.5cm

Text Solution

Verified by Experts

The correct Answer is:
C

Let `h` = height to of water column
then `rho_(w)gh + rho_(Hg)g(10-h)=rho_(Cu)g 10`
`implies h+13.6(10-h) = 73`
`implies 63=12.6h implies h=5cm`.
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    A2Z|Exercise AIIMS Questions|9 Videos
  • GENERAL KINEMATICS AND MOTION IN ONE DIMENSION

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

(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 piece of ice at 0^@C is added to a vessel containing water at 0^@C , then

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))

Consider the situation shown in diagram. Determine h rho_omega = 1 g// c c. rho_m = 13.6 g//c c rho_c = 1.6 g// c c . .

One third height of a cubical block of edge 6cm is floating in kerosene oil of specific gravity 0.8. To make the block to be just immersed some water is poured. What is the height of the water column?

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.

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 cube of iron of edge 5 cm floats on the surface of mercury, contained in a tank. Water is then poured on top, so that the cube just gets immersed. Find the depth of water layer. (Specific gravities of iron-and mercury are 7.8 and 13.6 , respectively.)

A2Z-FLUID MECHANICS-Chapter Test
  1. We have two different liquids A and B whose relative densities are 0.7...

    Text Solution

    |

  2. The fraction of a floating object of volume V(0) and density d(0) abov...

    Text Solution

    |

  3. A block of ice of area A and thickness 0.5m is floating in the fresh ...

    Text Solution

    |

  4. A cubical block of copper of side 10cm is floating in a vessel contain...

    Text Solution

    |

  5. A beaker containing water with a total mass of 10kg is placed on the p...

    Text Solution

    |

  6. A necklace weighs 50 g in air, but it weighs 46 g in water. Assume tha...

    Text Solution

    |

  7. A small ball of density r is immersed in a liquid of density sigma(gtr...

    Text Solution

    |

  8. For a fluid which is flowing steadily, the level in the vertical tubes...

    Text Solution

    |

  9. A body floats with one-third of its volume outside water and 3//4 of i...

    Text Solution

    |

  10. A boat having a length of 3 m and breadth of 2 m is floating on a lake...

    Text Solution

    |

  11. The flow of blood in a large artery of a anesthetized dog is diverted ...

    Text Solution

    |

  12. There are two holes, each of cross-sectional area a, on the oppisite s...

    Text Solution

    |

  13. figure shows two holes in a wide tank containing a liquid common. The ...

    Text Solution

    |

  14. A wide cylindrical tank with a small opening in the bottom has a water...

    Text Solution

    |

  15. A tank has a hole at its bottom. The time needed to empty the tank fro...

    Text Solution

    |

  16. A large open tank has two holes in the wall. One is a square hole of s...

    Text Solution

    |

  17. A wooden block, with a coin placed on its top, floats in water as show...

    Text Solution

    |

  18. Water is filled in a cylindrical container to a height of 3m. The rati...

    Text Solution

    |

  19. Assertion: If an object is submerged in fluid at rest, the fluid exert...

    Text Solution

    |

  20. Assertion: Liquids and gases are largely incompressible and densities ...

    Text Solution

    |