Home
Class 11
PHYSICS
A uniform chain of length L and mass M i...

A uniform chain of length `L` and mass `M` is lying on a smooth table and one-third of its length is hanging vertically down over the edge of the table. If g is the acceleration due to gravity, the work required to pull the hanging part on to the table is

A

MgL

B

MgL/3

C

`MgL//9`

D

`MgL//18`

Text Solution

Verified by Experts

The correct Answer is:
D


`W = (MgL)/(2n^(2)) = (MgL)/(2(3)^(2)) = (MgL)/(18)` (n = 3 given)
Promotional Banner

Topper's Solved these Questions

  • WORK , ENERGY , POWER AND COLLISION

    ERRORLESS |Exercise Graphical Questions|28 Videos
  • WORK , ENERGY , POWER AND COLLISION

    ERRORLESS |Exercise Assertion & Reason For AIIMS Aspirants|30 Videos
  • WORK , ENERGY , POWER AND COLLISION

    ERRORLESS |Exercise Ordinary Thinking (Objective Questions) (Perfectly Inelastic Collision)|30 Videos
  • WAVES AND SOUND

    ERRORLESS |Exercise SET|25 Videos
  • WORK, ENERGY, POWER & COLLISION

    ERRORLESS |Exercise Assertion|30 Videos

Similar Questions

Explore conceptually related problems

A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, calculate work required to pull the hanging part on the table.

A uniform chain of length L and mass M is tying on a smoth table and one third of its length is banging vertically down table the edge of the table if g is acceleration the to gravity , the work required to pull the hanging part on the table is

A uniform chain of length l and mass m is placed on a smooth table with one-fourth of its length hanging over the edge. The work that has to be done to pull the whole chain back onto the table is :

A uniform chain of mass m and length l is lying on a horizontal table with one-third of its length hanging over the edge of the table. What is the speed of the chain, when it just loses contact with the table?

A uniform chain is held on a frictionless table with one third of its length hanging over the edge. IF the chain has a length l and a mass m, how much work is required to pull the hanging part back on the table ?

A uniform chain of mass m and length l is lying on a horizontal table with one-third of its length hanging over the edge of the table. If a gentale pull is given to hanging end, it will start moving down. What is the change in gravitational potential energy of the chain, as it jist leaves the table?

A uniform chain has mass Mand length L. It is lying on a smooth horizontal table with half of its length hanging vertically downward. The work done in pulling the chain up the table is:

A chain is held on a frictionless table with 1//n th of its length hanging over the edge. If the chain has a length L and a mass M, how much work is required to pull the hanging part back on the table?

ERRORLESS -WORK , ENERGY , POWER AND COLLISION-Critical Thinking (Objective Questions)
  1. A ball hits the floor and rebounds after an inelastic collision. In th...

    Text Solution

    |

  2. A uniform chain of length L and mass M is lying on a smooth table and ...

    Text Solution

    |

  3. If and represent the work done in moving a particle from A to B al...

    Text Solution

    |

  4. A particle of mass m is moving in a horizontal circle of radius r, und...

    Text Solution

    |

  5. The displacement x of a particle of mass m kg moving in one dimension,...

    Text Solution

    |

  6. A force F=-K(yhati+xhatj) (where K is a positive constant) acts on a p...

    Text Solution

    |

  7. If g is the acceleration due to gravity on the earth's surface, the ga...

    Text Solution

    |

  8. A lorry and a car moving with the same KE are brought to rest by apply...

    Text Solution

    |

  9. A particle free to move along the x-axis has potential energy given by...

    Text Solution

    |

  10. The KE acquired by a mass m in travelling a certain distance s, starti...

    Text Solution

    |

  11. An open knife of mass m is dropped from a height h on a wooden floor. ...

    Text Solution

    |

  12. Consider the following two statements: A. Linear momentum of a syste...

    Text Solution

    |

  13. A body is moved along a straight line by a machine delivering constant...

    Text Solution

    |

  14. A shell is fired from a cannon with a velocity v (m//sec.) at an angle...

    Text Solution

    |

  15. A vessel at rest exlodes breaking it into three piecess. Two pieces ha...

    Text Solution

    |

  16. Two particles of masses m(1) and m(2) in projectile motion have veloci...

    Text Solution

    |

  17. Consider elastic collision of a particle of mass m moving with a veloc...

    Text Solution

    |

  18. A body of mass m moving with velocity v makes a head-on collision with...

    Text Solution

    |

  19. A particle P moving with speed v undergoes a head -on elastic collisio...

    Text Solution

    |

  20. A set of n identical cubical blocks lies at rest parallel to each othe...

    Text Solution

    |