Home
Class 11
PHYSICS
A closed cubical box of negligible mass ...

A closed cubical box of negligible mass has large number of spherical balls arranged neatly inside it as shown in the figure. When placed in water, the box floats with 80% of its volume remaining. Submerged. What is specifc gravity of material of the balls? Neglect thickness of the wall of the box.

Text Solution

Verified by Experts

The correct Answer is:
1.54
Promotional Banner

Topper's Solved these Questions

  • FIRST LAW OF THERMODYNAMICS

    ARIHANT|Exercise Level 3|6 Videos
  • GRAVITATION

    ARIHANT|Exercise Exercise|64 Videos

Similar Questions

Explore conceptually related problems

A spherical ball of the radius R is made by joining two hemispherical parts. The two parts have density rho and 2rho . When placed in a water tank, the ball floats while remaining completely submered. (a) If density of water is rho_(0) , find rho (b) Find the time period of small angular oscillations of the ball about its equilibrium position. Neglect viscous forces.

(i) A non uniform cube of side length a is kept inside a container as shown in the figure. The average density of the material of the cube is 2 rho where rho is the density of water. Water is gradually fille din the container. It is observed that the cube begins to topple, about its edge into the plane of the figure passing through pointA, when the height of the water in the container becomes (a)/(2) . Find the distance of the centre of mass of the cube from the face AB of the cube. Assume that water seeps under the cube. (ii) A rectangular concrete block (specific gravity =2.5) is used as a retatining wall in a reservoir of water. The height and width of the block are x and y respectively the height of water in the reservoir is z=(3)/(4)x . the concrete block cannot slide on the horizontal base but can rotate about an axis perpendicular to the plane of the figure and passing through point A (a) Calculate the minimum value of the ratio (y)/(x) for which the block will not begin to overturn about A. (b) Redo the above problem for the case when there is a seepage and a thin film of water is present under the block. Assume that a seal at A prevents the water from flowing out underneath the block.

A cylindrical container of length L is full to the brim with a liquid which has mass density rho .it is placed on a weight -scale, the scale reading is W . A light ball of volume V and mass m which wold float on the liquid, if allowed to do so, is pushed gently downand held beneath the surface of the liquid with a rigid rod of negligible volume as shwon on the left. What is the reading of the scale when the ball is fully immersed? If instead of being pushed down by the rod, the ball is held in place by a thin string attached to the bottom of the containier as shown on the right.

ARIHANT-FLUIDS-All Questions
  1. Two identical beakers are filled with water. One of them has an ice bl...

    Text Solution

    |

  2. (i) A toy boat made of steel is floating in a beaker having water. The...

    Text Solution

    |

  3. A closed cubical box of negligible mass has large number of spherical ...

    Text Solution

    |

  4. Two identical containers have the same volume of water in it. Each of ...

    Text Solution

    |

  5. Three tanks T(1),T(2) and T(3) are sitting on three weighing scales s(...

    Text Solution

    |

  6. A cylindrical block of length 2l is made of two different materials. T...

    Text Solution

    |

  7. A sealed balloon, filled with air, floats in water with (1)/(3) of its...

    Text Solution

    |

  8. Long back our Earth was made of molten material. Assume it to be a uni...

    Text Solution

    |

  9. A device used to measure the specific gravity of a liquid is called a ...

    Text Solution

    |

  10. A sphere of radius R and having negligible mass is floating in a large...

    Text Solution

    |

  11. Two identical communicating containers have water filled into them.A s...

    Text Solution

    |

  12. An open cyclindrical container has a cross sectiional area A(0)=150cm^...

    Text Solution

    |

  13. A light cylinderical tube of length L=1.5m and radius v=(1)/sqrt(pi)m ...

    Text Solution

    |

  14. A solid wooden cone has been supported by a string inside water as sho...

    Text Solution

    |

  15. A large container has a sliding vertical wall of height H so as to div...

    Text Solution

    |

  16. A wooden stick of length L, radius R and density rho has a small metal...

    Text Solution

    |

  17. A rod of length 6m has a mass of 12 kg. It is hinged at one end of the...

    Text Solution

    |

  18. Assume that a car travelling on horizontal straight road with an accel...

    Text Solution

    |

  19. A container partially filled with water is moved horizontally with acc...

    Text Solution

    |

  20. A cylindrical tank having radius R is half filled with water having de...

    Text Solution

    |