Home
Class 11
PHYSICS
The diagram show a small bead of mass m ...

The diagram show a small bead of mass `m` carrying charge `q`. The bead can freely move on the smooth fixed ring placed on a smooth horizontal plane . In the same pane a charge ` +Q` has also been fixed as shown. The potential at the point ` P` due to ` +Q` is `V` . The velocity which the bead should projected from the point `P` so that it can complete a circle should be greater than .

Text Solution

Verified by Experts

The correct Answer is:
A

Given `V_(A)` due to `+Q` is V, so `V_(B)=4V`
By energy conservation
`1/2 m u^(2)+qV=4qV`
`rArr u=sqrt((6qV)/m)`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Exercise-03|1 Videos
  • MISCELLANEOUS

    ALLEN |Exercise Exercise-04|1 Videos
  • MISCELLANEOUS

    ALLEN |Exercise Exersice -05(B)|20 Videos
  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos
  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

A block is dragged on a smooth plane with the help of a rope which moves with a velocity v as shown in figure. The horizontal velocity of the block is :

Two identical particles of mass m carry a charge Q , each. Initially one is at rest on a smooth horizontal plane and the other is projected along the plane directly towards first particle from a large distance with speed v. The closest distance of approach be .

A bead is arranged to move with constant speed around a loop that lies in a vetical plane. The magnitude of the net force on the bead is

The Fig. showns a string of equally placed beads of mass m, separated by distance. The beads are free to slide without friction on a thin wire. A constant force F act on the first bead initially at rest till it makes collision with the second bead. The second bead then collides with the third and so on. Supposed that all collisions are elastic,

The Fig. shows a string of equally placed beads of mass m , separated by distance d . The beads are free to slide without friction on a thin wire. A constant force F act on the first bead initially at rest till it makes collision with the second bead. The second bead then collides with the third and so on. Supposed that all collisions are elastic,

A particle of mass m carrying charge '+q_(1)' is revolving around a fixed charge '-q_(2)' in a circular path of radius r. Calculate the period of revolution.

A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point P a distance R/2 from the centre of the shell is

A thin circular wire of radius r has a charge Q. If a point charge q is placed at the centre of the ring, then find the increase in tension in the wire.

Three point charges q, 2q and 8q are to be placed on a . 9cm long straight line. Find the . positions where the charges shouldbe placed such that the potential energy . of this sysrem is minimum. In this situation, what is the . electric field at the charge q due to the other two charges?

In front of an earthed conductor a point charge +q is placed a shown in figure

ALLEN -MISCELLANEOUS-Exercise-02
  1. A particle of mass m and charge q is thrown in a region where uniform ...

    Text Solution

    |

  2. In space of horizontal EF (E = (mg)//q) exist as shown in figure and a...

    Text Solution

    |

  3. The diagram show a small bead of mass m carrying charge q. The bead ca...

    Text Solution

    |

  4. The diagram shows three infinitely long uniform line charges placed on...

    Text Solution

    |

  5. The electric potential decreases uniformly from V to -V along X-axis i...

    Text Solution

    |

  6. A proton and a ionized deuterium are initially at rest and are acceler...

    Text Solution

    |

  7. Three points charges are placed at the corners of an equilateral trian...

    Text Solution

    |

  8. The dipole moment of a system of charge +q distribyted uniformly on a...

    Text Solution

    |

  9. An electric dipole is kept on the axis of a uniformly charged ring at ...

    Text Solution

    |

  10. Point P lies on the axis of a dipole . If the dipole is rotated by 90...

    Text Solution

    |

  11. Two short electric dipole are placed as shown. The energy of electric ...

    Text Solution

    |

  12. Charges Q1 and Q2 lie inside and outside, respectively, of a closed su...

    Text Solution

    |

  13. An electric dipole is placed at the centre of a sphere. Mark the corre...

    Text Solution

    |

  14. An infinite, uniformly charged sheet with surface charge density sigma...

    Text Solution

    |

  15. At a distance of 5 cm and 10 cm outward from the surface of a uniforml...

    Text Solution

    |

  16. An electric field converges at the origin whose magnitude is given by ...

    Text Solution

    |

  17. A bullet of mass m and charge q is fired towards a solid uniformly cha...

    Text Solution

    |

  18. A unit positive point charge of mass m is projected with a velocity v ...

    Text Solution

    |

  19. Three concentric conducting spherical shells have radii r, 2r, and 3r ...

    Text Solution

    |

  20. Shown in the figure a spherical shell with an inner radius 'a' and an ...

    Text Solution

    |