Home
Class 12
PHYSICS
A solid sphere of mass M and radius R ha...

A solid sphere of mass M and radius R having tmoment of inertia I about its diameter is recast into a solid dise of radius r and thickness t. The moment of inertia of the disc about an axis passing the edge and perpendicular to the plane remains I. Then R and r are related as

A

`r=sqrt((2)/(15))R`

B

`r=(2)/(sqrt15)R`

C

`r=2/15R`

D

`r=sqrt2/15R`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2019

    TARGET PUBLICATION|Exercise MCQ|45 Videos
  • SEMICONDUCTORS

    TARGET PUBLICATION|Exercise Evaluation Test|17 Videos

Similar Questions

Explore conceptually related problems

A solid sphere of mass M and radius R having moment of inertial I about its diameter is recast into a solid disc of radius r and thickness t .The moment of inertia of the disc about an axis passing the edge and perpendicular to the plane remains "I" .Then r=(x)/(sqrt(15))R Find x=?

A solid sphere of mass M , radius R and having moment of inertia about as axis passing through the centre of mass as I , is recast into a disc of thickness t , whose moment of inertia about an axis passing through its edge and perpendicular to its plance remains I . Then, radius of the disc will be.

A solid sphere of mass M and radius R having moment of inertia I about its diameter is recast into a solid disc abut an axis passing the edge and perpendicular to the plane remains l. Then R and r are related as

Calculate the moment of inertia of a disc of radius R and mass M, about an axis passing through its centre and perpendicular to the plane.

Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is

A disc of radius R has a concentric hole of radius R /2 and its mass is M. Its moment of inertia about an axis through its centre and perpendicular to its plane, is

If a uniform solid sphere of radius R and mass m rotates about a tangent and has moment of inertia 42 kg m^(2) , then the moment of inertia of a solid sphere about an axis passing through its center and perpendicular to its plane will be

A solid sphere of radius R has moment of inertia l about its diameter. What will be moment of inertia of a shell of same mass and same radius about its diameter?

TARGET PUBLICATION-ROTATIONAL MOTION -MCQ
  1. Eight identical small solid spheres, each of moment of inertia I' are ...

    Text Solution

    |

  2. The moment of inertia of a thin circular disc of mass M and radius R a...

    Text Solution

    |

  3. A solid sphere of mass M and radius R having tmoment of inertia I abou...

    Text Solution

    |

  4. Consider a thin uniform rod having length 'L' and mass 'M'. Its moment...

    Text Solution

    |

  5. The M.I of a disc about an axis perpendicular to its plane and passing...

    Text Solution

    |

  6. Calculate the M.I. of a thin uniform ring about an axis tangent to the...

    Text Solution

    |

  7. Consider a uniform square plate of side 'a' and mass 'm'. The moment o...

    Text Solution

    |

  8. The moment of inertia of a uniform circular disc of radius R and mass ...

    Text Solution

    |

  9. The moment of inertia of a solid cylinder of mass M, length 2 R and ra...

    Text Solution

    |

  10. The moment of inertia of a uniform thin rod of length L and mass M abo...

    Text Solution

    |

  11. A light rod of length l has two masses m1 and m2 attached to its two e...

    Text Solution

    |

  12. From a disc of radius R and mass m, a circular hole of diamter R, whos...

    Text Solution

    |

  13. A square frame ABCD is formed by four identical rods cach of mass 'm' ...

    Text Solution

    |

  14. Four point masses, each of value m, are placed at the corners of a squ...

    Text Solution

    |

  15. Three identical uniform thin metal rods form the three sides of an equ...

    Text Solution

    |

  16. The moment of inertia of a uniform cylinder of length l and radius R a...

    Text Solution

    |

  17. (L^(2))/(2I) represents

    Text Solution

    |

  18. A solid sphere is rotating freely about its symmetry axis in free spac...

    Text Solution

    |

  19. A fly wheel is rotating with a definite angular velocity. Suddenly a f...

    Text Solution

    |

  20. When torque acting on a rotating body is zero, then which of the follo...

    Text Solution

    |