Home
Class 12
PHYSICS
The radius of gyration of an uniform rod...

The radius of gyration of an uniform rod of length `L` about an axis passing through its centre of mass and perpendicular to its length is.

A

`L//sqrt(12)`

B

`L^(2)//12`

C

`L//sqrt3`

D

`L//sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
A
As `l=MK^(2)=(ML^(2))/(12) and K=(L)/(sqrt(12))`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION'

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PRACTICE EXERCISE (Exercise 2 (MISCELLANEOUS PROBLEMS))|47 Videos

  • ROTATIONAL MOTION'

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|35 Videos

  • ROTATIONAL MOTION'

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|35 Videos

  • REFRACTION OF LIGHT

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2|25 Videos

  • SCALARS AND VECTORS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (Miscellaneous Problems)|20 Videos

Similar Questions

Explore conceptually related problems

The radius of gyration of an uniform rod of length l about an axis passing through one of its ends and perpendicular to its length is.

Find the radius of gyration of a rod of mass 100 g and length 100 cm about an axis passing through its centre and perpendicular to its length.

find the radius of gyration of a rod of mass m and length 2l about an axis passing through one of its eneds and perpendicular to its length.

Radius of gyration of a uniform circular disc about an axis passing through its centre of gravity and perpendicular to its plane is

The M.I. of thin uniform rod of mass 'M' and length 'l' about an axis passing through its centre and perpendicular to its length is

Calculate the radius of gyration of a thin rod of mass 1kg and length 100cm about an axis passing through its center of gravity and perpendicular to its length.

The moment of inertia of a rod of length l about an axis passing through its centre of mass and perpendicular to rod is I . The moment of inertia of hexagonal shape formed by six such rods, about an axis passing through its centre of mass and perpendicular to its plane will be

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-ROTATIONAL MOTION'-PRACTICE EXERCISE (Exercise 1 (TOPICAL PROBLEMS))
  1. Two disc have same mass and thickness. Their materials have densities ...

    Text Solution

    |

  2. One quarter of the disc of mass m is removed. If r be the radius of th...

    Text Solution

    |

  3. The radius of gyration of an uniform rod of length L about an axis pas...

    Text Solution

    |

  4. The radius of gyration of a disc of mass 50 g and radius 2.5 cm, about...

    Text Solution

    |

  5. The radius of gyration of rod of length L and mass M about an axis per...

    Text Solution

    |

  6. The moment of an inertia about an axis of a body which is rotating wit...

    Text Solution

    |

  7. Two wheels A and B are mounted on the same axle. Moment of inertia of ...

    Text Solution

    |

  8. Two thin uniform circular rings each of radius 10 cm and mass 0.1 kg a...

    Text Solution

    |

  9. Three identical thin rods each of length l and mass M are joined toget...

    Text Solution

    |

  10. Of the two eggs which have identical sizes, shapes and weights, one is...

    Text Solution

    |

  11. Moment of inertia of a solid cylinder of length L and diameter D about...

    Text Solution

    |

  12. Four spheres of diameter 2a and mass M are placed with their centres o...

    Text Solution

    |

  13. The ratio of the radii of gyration of a circular disc about a tangenti...

    Text Solution

    |

  14. Three point masses, each of mass m, are placed at the corners of an eq...

    Text Solution

    |

  15. A thin rod of length L and mass M is bent at the middle point O at an ...

    Text Solution

    |

  16. The diameter of a flywheel is increased by 1% . Increase in its moment...

    Text Solution

    |

  17. About which axis in the following figure the moment of inertia of the ...

    Text Solution

    |

  18. Moment of inertia of a thin rod of a mass M and length L about an axis...

    Text Solution

    |

  19. A mass is whirled in a circular path with a constant angular velocity ...

    Text Solution

    |

  20. A spherical solid ball of 1 kg mass and radius 3 cm is rotating about ...

    Text Solution

    |