Home
Class 11
PHYSICS
Find the ratio of the moments of inertia...

Find the ratio of the moments of inertia of two solid spheres of same mass but densities in the ratio 1 : 8.

Text Solution

Verified by Experts

According to the data, the radii of the spheres would be in the ratio `2:1. (I_(1))/(I_(2))=((R_(1))/(R_(2)))^(2)=4`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise EXERCISE - 1A|120 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise EXERCISE - 1B|51 Videos
  • SURFACE TENSION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS )|8 Videos
  • THERMAL PROPERTIES OF MATTER

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) PRACTICE SHEET (ADVANCED) Integer/Subjective Type Questions|2 Videos

Similar Questions

Explore conceptually related problems

The moment of inertia of a solid sphere of mass M and radius R about the tangent is

Assertion (A) The Moment of inertia of a steel sphere is larger than the Moment of inertia of a wooden sphere of same radius. Reasons (R) Moment of inertia is independent of mass of the body. The correct one is

Ratio of densities of materials of two circular discs of same mass and thickness is 5:6 . The ratio of their M.I about natural axes is

Two cylindrical rods of the same material have the same temperature difference between their ends. The ratio of the rates of flow of heat through them is 1 : 8. The radii of the rods are in the ratio 1 : 2. What is the ratio of their lengths ?

(A) : Two solid cylinders of different masses and radii take same time to roll down an inclined plane without slipping. (R ) : Moment of inertia of two solid cylinders of different masses and radii about their natural axes are different.

AAKASH SERIES-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-PRACTICE EXERCISE
  1. Find the ratio of the moments of inertia of two solid spheres of same ...

    Text Solution

    |

  2. The centre of mass of two particles with masses 2kg and 6 kg located a...

    Text Solution

    |

  3. Two particles of mass 1 kg and 3 kg have position vectors 2hati + 3hat...

    Text Solution

    |

  4. In a molecule of sodium chloride, the masses of sodium and chlorine at...

    Text Solution

    |

  5. The centre of mass of three particles of masses 1 kg, 2 kg and 3 kg is...

    Text Solution

    |

  6. Two skaters A and B weighing 40 kg and 60 kg respectively stand facing...

    Text Solution

    |

  7. A uniform bar 8m long has a mass of 6kg. A 10kg mass is tied to one en...

    Text Solution

    |

  8. Two persons of masses m and 2m are standing on a horizontal smooth sur...

    Text Solution

    |

  9. Three particles of masses 1kg, 2kg and 2kg are placed at the corners o...

    Text Solution

    |

  10. Masses each 1 kg are placed at the verticies of an isosceles triangle ...

    Text Solution

    |

  11. Four particles P,Q,R,S of masses 1kg, 2kg, 3kg and 4kg are placed at t...

    Text Solution

    |

  12. Two uniform rods A and B of same diameter having length 2m and 3m and ...

    Text Solution

    |

  13. Two discs of radii 2cm and 1cm and made up of same material respective...

    Text Solution

    |

  14. Two particles of masses 2 m and 3 m are at a distance .d. apart. Under...

    Text Solution

    |

  15. Three identical particles each of same mass are placed touching each o...

    Text Solution

    |

  16. Two objects of masses 200 g and 500 g possess velocities 10hati ms^(-1...

    Text Solution

    |

  17. A uniform metre rod is bent at the middle in the form of L shape with ...

    Text Solution

    |

  18. Particles of masses 1gm, 2gm, 3gm and 4 gm are placed at x = 1 cm, x =...

    Text Solution

    |

  19. Four particles, each of mass 1kg, are placed at the corners of a squar...

    Text Solution

    |

  20. Three particles of masses 1 kg, 2 kg, 3 kg are acted upon by forces (v...

    Text Solution

    |

  21. The mass of a uniform ladder of length 6m is 20kg. A mass 60kg is plac...

    Text Solution

    |