Home
Class 12
PHYSICS
A sphere of solid material of relative d...

A sphere of solid material of relative density 9 has a concentric spherical cavity and sinks in water. If the radius of the sphere be R. Then the radius of the cavity (r) will be related to R as

A

`r ^(3) = 9/9 R ^(3)`

B

` r ^(3) = 2/3 R ^(3)`

C

`r ^(2) = (sqrt 8)/(9) R ^(3)`

D

` r ^(3) = sqrt ((2)/(3)) R ^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|24 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|24 Videos
  • MAGNETISM AND MATTER

    DISHA PUBLICATION|Exercise EXERCISE-2:CONCEPT APPLICATOR|31 Videos
  • MOTION IN A PLANE

    DISHA PUBLICATION|Exercise Exercise -2 : CONCEPT APPLICATOR|28 Videos

Similar Questions

Explore conceptually related problems

A sphere of solid material of relative density 9 has a concentric spherical cavity and sinks in water. If te radius of the sphere be R. Then the radius of the cavity (r) will be related to R as

A sphere of material of relative density 8 has a concentric spherical cavity and just sinks in water.If the radius of the sphere is 2cm then the volume of the cavity is

A sphere of solid material of specific gravity 8 has a concentric spherical cavity and just sinks in water. The ratio of radius of cavity to that of outer radius of the sphere must be

A sphere of radius R and made of material of relative density sigma has a concentric cavit of radius r. It just floats when placed in a tank full of water. The value of the ratio R//r will be

A hemi-spherical cavity is created in solid sphere (of radius 2R ) as shown in the figure. Then

A fixed sphere of radius R and uniform density rho has a spherical cavity of radius R//2 such that the surface of the cavity passes through the centre of the sphere. A particle of mass m is located at the centre (A) of the velocity. Calculated (a) The gravitational field at A . (b) The velocity with which the particle strikes the centre O of the sphere. (Neglect earth's gravity)

A positively charge sphere of radius r_0 carries a volume charge density rho . A spherical cavity of radius r_0//2 is then scooped out and left empty. C_1 is the center of the sphere and C_2 that of the cavity. What is the direction and magnitude of the electric field at point B?

A sphere of radius R has a uniform volume density rho . A spherical cavity of radius b, whose center lies at veca , is removed from the sphere. i. Find the electric field at any point inside the spherical cavity. ii. Find the electric field outside the cavity (a) at points inside the large sphere but outside the cavity and (b) at points outside the large sphere.

Charge Q is distributed on two concentric spheres of radius r and R resp. if charge density of both spheres is same then electric potential at centre will be

A solid metallic sphere has a charge +3Q . Concentric with this sphere is a conducting spherical shell having charge -Q . The radius of the sphere is a and that of the spherical shell is b(bgta) What is the electric field at a distance R(a lt R lt b) from the centre

DISHA PUBLICATION-MECHANICAL PROPERTIES OF FLUIDS -EXERCISE-1 CONCEPT BUILDER
  1. A body of density rho is dropped from reat from a height h into a lake...

    Text Solution

    |

  2. A vessel contains oil (density =0.8gm//cm^3) over mercury (density =13...

    Text Solution

    |

  3. A sphere of solid material of relative density 9 has a concentric sphe...

    Text Solution

    |

  4. A pieceo of ice is floating in water . Find the fraction of volume of ...

    Text Solution

    |

  5. In car lift compressed air exerts a force F1 on a small piston having ...

    Text Solution

    |

  6. A cone full of water, is placed on its side on a horizontal table, the...

    Text Solution

    |

  7. A narrow tube completely filled with a liquid is lying on a series of ...

    Text Solution

    |

  8. The total weight of a piece of wood is 6 kg in the floating state in w...

    Text Solution

    |

  9. Water is flowing continuously from a tap having an internal diameter 8...

    Text Solution

    |

  10. The cylinderical tube of a spray pump has radius R, One end of which h...

    Text Solution

    |

  11. A fluid is in streamline flow across a horizontal pipe of variable are...

    Text Solution

    |

  12. A cylindrical vessel contains a liquid of density rho up to height h. ...

    Text Solution

    |

  13. Oil is filled in a cylindrical container up to height 4m. A small hole...

    Text Solution

    |

  14. Figure shows a liquid flowing through a tube at the rate of 0.1 m^(3)/...

    Text Solution

    |

  15. A cylinder of height 20m is completely filled with water. The velocity...

    Text Solution

    |

  16. Atank is filled with water upto a height H. Water is allowed to come o...

    Text Solution

    |

  17. There is a small hole at the bottom of tank filled with water. If tota...

    Text Solution

    |

  18. In the figure, the velocity V(2) will be

    Text Solution

    |

  19. Three tubes X, Y and Z are connected to a horizontal pipe in which ide...

    Text Solution

    |

  20. Air flows horizontally with a speed v= 106 km/hr. A house has plane ro...

    Text Solution

    |