Home
Class 11
PHYSICS
A thin rotates about an axis passing thr...

A thin rotates about an axis passing through its centre and perpendicular to its plane with a constant angular velocity `.omega.` I is the moment of inertia of that disc and .L. is its angular momentum about the given axis. Then rotational kinetic energy of the disc .E. is
(A) `E alpha L^(2)`
(B) `E alpha L^(-2)`
(C ) `E alpha I`
(D) `E alpha I^(-1)` (if L constant)

A

A and C are correct

B

B and C are correct

C

B and D are correct

D

A and D are correct

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise EXERCISE - 1B|51 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise EXERCISE - 2|106 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise PRACTICE EXERCISE|99 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 inertial of a thin circular disc about an axis passing through its centre and perpendicular to its plane is I. Then, the moment of inertia of the disc about an axis parallel to its diameter and touching the edge of the rim is

If the K.E. of a rotating body about an axis is decreased by 36% , its angular momentum about that axis

A circular disc of radius R and thickness (R)/(6) has moment of inertia about an axis passing through its centre and perpendicular to its plane. It is melted and recasted into a solid sphere. The moment of inertia of the sphere about its diameter as axis of rotation is

A circular disc is rotating about its own axis at an angular velocity omega . If P is exact midpoint of dise between axis and rim of disc then angular velocity of Pis

AAKASH SERIES-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-EXERCISE - 1A
  1. Statements : (a) Motion of centre of mass depends on external forc...

    Text Solution

    |

  2. The moon moves around the earth in a circular orbit and the earth move...

    Text Solution

    |

  3. A particle moves along a horizontal circle witrr constant speed. If 'a...

    Text Solution

    |

  4. Identify the increasing order of the angular velocities of the followi...

    Text Solution

    |

  5. When a body is whirled in a vertical circle such that its total mechan...

    Text Solution

    |

  6. Moment of inertia of a rigid body depends on (A) Mass of body (...

    Text Solution

    |

  7. Statement - A : If a uniform metal disc is remoulded into a solid sphe...

    Text Solution

    |

  8. Consider the following two statements. (A) Linear momentum of the ...

    Text Solution

    |

  9. Identify the correct order in which the values of M.I. decreases for t...

    Text Solution

    |

  10. Four objects with the same mass and radius are spinning freely about a...

    Text Solution

    |

  11. A man is spinning in the gravity free - space changes the shape of the...

    Text Solution

    |

  12. A thin rotates about an axis passing through its centre and perpendicu...

    Text Solution

    |

  13. Which of the following statements are correct ? (a) centre of mass...

    Text Solution

    |

  14. {:(,"List - 1",,"List - 2"),((a),"Centre of mass of large uniform ring...

    Text Solution

    |

  15. {:(,"List - 1",,"List - 2"),((a),"Position of c.m of a triangle",(e ),...

    Text Solution

    |

  16. {:(,"List - 1",,"List - 2"),((a),"Position of centre of mass",(e ),"is...

    Text Solution

    |

  17. Match list I with list II {:(,"List - I",,"List - II"),((a),"Ratio...

    Text Solution

    |

  18. {:(,"List - I",,"List - II"),((a),"Centrifugal force",(e ),"Along the ...

    Text Solution

    |

  19. {:(,"List - I",,"List - II"),((a),"changes only in direction",(e ),"ex...

    Text Solution

    |

  20. {:(,"List - I",,"List - II"),((a),"Angular acceleration",(e ),J.S),((b...

    Text Solution

    |