Home
Class 11
PHYSICS
Assertion : Two identical solid spheres ...

Assertion : Two identical solid spheres are rotated frm rest to same angular velocity `omega` about two different axes as shown in figure. More work will have to be done to rotate the sphere in case-2
Reason : Moment of inertia is case-2 is more.

A

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion

C

If Assertion is true but Reason is fasle

D

If Assertion is false but Reason is true

Text Solution

Verified by Experts

The correct Answer is:
A

Moment of inertia of sphere in case 1 is `(2)/(5) MR^(2)`
Moment of inertia of sphere is case 2 is `(7)/(5) MR^(2)`
So, more work will have to be done to rotate the sphere in case 2.
Promotional Banner

Topper's Solved these Questions

  • ROTATION

    DC PANDEY|Exercise (C) Chapter Exercises|39 Videos
  • ROTATION

    DC PANDEY|Exercise (A) Chapter Exercises|83 Videos
  • RAY OPTICS

    DC PANDEY|Exercise Integer type q.|15 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Subjective Questions|2 Videos

Similar Questions

Explore conceptually related problems

A ring and a solid sphere of same mass and radius are rotating with the same angular velocity about their diameteric axes then :-

A sphere of mass m is rotated about its axis by an angular velocity omega and lowered gently on an inclined plane as shown in figure. Then initally

A solid sphere and hollow sphere of the same material have mass. Then moment of inertia about the diameter is more for

A solid sphere is rotating about a diameter at an angular velocity omega . If it cools so that its radius reduces to I//n of its original value, its angular velocity becomes

A hollow non conducting sphere of radius R has a positive charge q uniformly distributed on its surface. The sphere starts rotating with a constant angular velocity 'omega' about an axis passing through center of sphere, as shown in the figure. Then the net magnetic field at center of the sphere is

A hollow sphere and solid sphere of the same radius rotate about their diameters with the same angular velocity and angular momentum. Then the ratio of their masses is

Two solid spheres are made of the same material. The ratio of their diameters is 2: 1. The ratio of their moments of inertia about their respective diameters is

Two rigid bodies have same moment of inertia about there axes of symmetry. Then which will have more kinetic energy ?

Assertion : A solid and a hollow sphere both of equal masses and radii are put on a rough surface after rotating with some angular velocity say omega_(0) . Coefficient of friction for both the spheres and ground is same. Solid sphere will start pure rolling first Reason : Radius of gyration of hollow sphere about an axis passing through its centre of mass is more.

DC PANDEY-ROTATION-(B) Chapter Exercises
  1. Assertion : The condition of equilibrium for a rigid body is Transla...

    Text Solution

    |

  2. Assertion : Two axes AB and CD are as shown in figure. Given figure is...

    Text Solution

    |

  3. Assertion : If a particle moves with a constant velocity, then angular...

    Text Solution

    |

  4. Assertion : Two identical solid spheres are rotated frm rest to same a...

    Text Solution

    |

  5. Assertion : A ring and a disc of same mass and radius begin to roll wi...

    Text Solution

    |

  6. Assertion : A sphere is placed in pure rolling condition over a rough ...

    Text Solution

    |

  7. Assertion : In rotational plus translational motion of a rigid body, d...

    Text Solution

    |

  8. Assertion : Angular momentum of sun and planet system about any point ...

    Text Solution

    |

  9. Assertion : Moment of inertia about an axis passing throught centre of...

    Text Solution

    |

  10. Assertion : A solid sphere cannot roll without slipping on smooth hori...

    Text Solution

    |

  11. Assertion : Speed of any point on rigid body executing rolling motion...

    Text Solution

    |

  12. Assertion : A solid sphere and a ring of same mass and radius are rele...

    Text Solution

    |

  13. Assertion : A uniform disc of radius R is performing impure rolling mo...

    Text Solution

    |

  14. Assertion : Two identical spherical balls are released from two inclin...

    Text Solution

    |

  15. Assertion : A solid and a hollow sphere both of equal masses and radii...

    Text Solution

    |

  16. If radius if earth is reduced to half without changing its mass, then ...

    Text Solution

    |

  17. A disc rolls on ground without slipping. Velocity of centre of mass is...

    Text Solution

    |

  18. A solid sphere is rotating about an axis shown in figure. An insect fo...

    Text Solution

    |

  19. Four rods of equal length l and mass m each forms a square as shown in...

    Text Solution

    |

  20. A semicircular ring has mass m and radius R as shown in figure. Let I(...

    Text Solution

    |