Home
Class 12
PHYSICS
Figure shows a rod of length L which is ...

Figure shows a rod of length L which is uniformly charged with linear charge density `lambda` kept on a smooth horizontal surface. Right end of rod in contact with a vertical fixed wall. A block of mass m and charge q is projected with a velocity v from a point very far from rod in the line of rod. find the distance of closest approach between the block & the left end A of the rod.

Text Solution

Verified by Experts

The correct Answer is:
`r=L/((e^((2piin_(0) mv^(2))/(lambdaq))-1))`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    RESONANCE|Exercise Part - II|23 Videos
  • ELECTROMAGNETIC INDUCTION

    RESONANCE|Exercise A.l.P|19 Videos
  • EXPERIMENTAL PHYSICS

    RESONANCE|Exercise PART -II|10 Videos

Similar Questions

Explore conceptually related problems

A rod length l is uniformly charged with charge q. Calculate potential at point P.

A rod of length l is released from the vertical position on a smooth horizontal plane. What is the nature of motion of the free end of the rod ?

Find the total force on charge q due to a charge rod having linear charge density lamda C/m placed as shown in figure.

A uniform rod of mass m , length l rests on a smooth horizontal surface. Rod is given a sharp horizontal impulse p perpendicular to the rod at a distance l//4 from the centre. The angular velocity of the rod will be

A rod of length L is held vertically on a smooth horizontal surface. The top end of the rod is given a gentle push. At at certain instant of time, when the rod makes an angle 37^@ with horizontal the velocity of COM of the rod of 2m//s . The velocity of the end of the rod in contact with the surface at that instant is

A rod length L is held vertically on a smooth horizontal surface. The top end of the rod is given a gentle push. At a certain instant of time, when the rod makes an angle theta with horizontal the velocity of COM of the rod is v_(0) . The velocity of the end of the rod in contact with the surface at that instant is:

A thin uniform rod of mass m and length l is kept on a smooth horizontal surface such that it can move freely. At what distance from centre of rod should a particle of mass m strike on the rod such that the point P at a distance l/3 from the end of the rod is instantaneously at rest just after the elastic collision?

A uniform rod of mass m=2 kg and length l is kept on a smooth horizontal plane. If the ends A and B of the rod move with speeds v and 2v respectively perpendicular to the rod, find the: a. angulr velocity of CM of the rod. b. Kinetic energy of the rod (in Joule).

What is the electric field intensity at any point on the axis of a charged rod of length 'L' and linear charge density lambda ? The point is separated from the nearer end by a.

RESONANCE-ELECTROSTATICS-HLP
  1. A solid of radius 'R' is uniformly charged with charge density rho in ...

    Text Solution

    |

  2. A uniform surface charge of density sigma is given to a quarter of a d...

    Text Solution

    |

  3. Figure shows a rod of length L which is uniformly charged with linear ...

    Text Solution

    |

  4. A charged ball of mass 5.88xx10^(-4) kg is suspended from two silk str...

    Text Solution

    |

  5. A charge of 16xx10^(-9) C is fixed at the origin of coordinates. A sec...

    Text Solution

    |

  6. Two large conducting plates are placed parallel to each other with a ...

    Text Solution

    |

  7. A ball of mass 10^(-2) kg and having charge + 3 xx 10^(-6)C is tied at...

    Text Solution

    |

  8. A system consits fo a thin charged wire ring of radius R and a very ...

    Text Solution

    |

  9. A thin nonconducting ring of radius R has a linear charge density ...

    Text Solution

    |

  10. Two point charges q and -q are separated by the distance 2l. Find the...

    Text Solution

    |

  11. A system consists of a ball of radius R carrying a uniformly distribut...

    Text Solution

    |

  12. Find the electric field potentail and strength at the centre of a hem...

    Text Solution

    |

  13. A non-conducting disc of radius a and uniform positive surface charge ...

    Text Solution

    |

  14. The potential difference between two large parallel plates is varied a...

    Text Solution

    |

  15. Four point charges +8muC,-1muC,-1muC and , +8muC are fixed at the poin...

    Text Solution

    |

  16. A small ball of mass 2 xx 10^-3 kg, having a charge 1 mu C, is suspend...

    Text Solution

    |

  17. Three point charges q, 2q and 8q are to be placed on a . 9cm long st...

    Text Solution

    |

  18. The field potentail in a certain region of space depends only on the...

    Text Solution

    |

  19. A conducting sphere S1 of radius r is attached to an insulating handle...

    Text Solution

    |

  20. The electric field strength depends only on the x and y coordinates a...

    Text Solution

    |