Home
Class 12
PHYSICS
Two particles, carrying charges -q and +...

Two particles, carrying charges -q and +q and having equal masses m each, are fixed at the rod is clamped at an end and is placed in a uniform electric field E with the axis of the dipole along the electric field. The rod is slightly tlted and then released. Neglecting gravity find the time period of small oscillations.

Text Solution

Verified by Experts

Consider the rod to be a simple pendulum
For simple pendulum
` T=2pisqrt(l/g) `
` (l=length,g=accln) `
Now force experienced by the charges
` F=Eq `
Now, `accln =F/m=(Eq)/m `
Here,`length =a `
So, time periode
` T=2pisqrt((ma)/(qE))`
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC FIELD AND POTENTIAL

    HC VERMA|Exercise Objective 2|8 Videos
  • ELECTRIC CURRENT THROUGH GASES

    HC VERMA|Exercise Exercise|23 Videos
  • ELECTROMAGNETIC INDUCTION

    HC VERMA|Exercise EXERCISE|98 Videos

Similar Questions

Explore conceptually related problems

A particle of mass m and charge q is thrown at a speed u against a uniform electric field E. How much distance will it travel before coming to momentary rest?

An electric dipole formed by two particles fixed at the ends of a light rod of length l. The mass of each particle is m and the charges are -q and +q . The system is placed in such a way that the dipole axis is parallel to a uniform electric field E that exist in the region. The dipole is slightly rotated abut its centre and released. Show that for small angular displacement, the motion is angular simple harmonic and find its time period.

An electric dipole has the magnitude of its charge as q and its dipole moment is p. It is placed in a uniform electric field E. It its dipole moment is along the direction of the field, the force on it and its potential energy are, respectively.

A particle of charge q is placed at rest in a uniform electric field E and then released . The kinetic energy attained by the particle after moving a distance y is

Four particles each having a charge q, are placed on the four vertices of a regular pentagon. The distance of each corner from the centre is a. Find the electric field at the centre of the pentagon.

A uniform rod of length 1.00 m is suspended through an end and is set into oscillation with small amplitude under gravity. Find the time period of oscillation.

A particle of mass m is attached to three springs A,B and C of equal force constants k as shown in figure. If the particle is pushed slightly against the spring C and released, find the time period of oscillation.

Two charged particles have charges and masses in the ration 2:3 and 1:4 respectively. If they enter a uniform magnetic field and move with the same velocity. Then the ratio of their respective time periods of revolution is

Three charges, each equal to q, are placed at the three. corners of a square of side a . Find the electric field at. the fourth corner.

Two large conducting plates X and Y. each having large surface area A (on one side), are placed parallel to each other as shown in figure (30-E7). The plate X is given a charge Q whereas the other is neutral. Find (a) the surface charge density at the inner surface of the plates X, (b) the electric field at a point to the left of the plates, (c) the electric field at a point in between the plates and (d) the electric field at a point to the right of the plates.

HC VERMA-ELECTRIC FIELD AND POTENTIAL-Exercises
  1. An electric field of 20 N//C exists along the x-axis in space. Calcula...

    Text Solution

    |

  2. Consider the situation of the previous problem. A charge of 2.0xx 10 ^...

    Text Solution

    |

  3. An electric field vecE = (20i + 30j) NC^(-1) exists in the space. If t...

    Text Solution

    |

  4. An electric field vecE = vec I Ax exists in the space, where A= 10 V ...

    Text Solution

    |

  5. The electric potential existing in space is V(x,y,z)= A (xy+ yz+zx).(a...

    Text Solution

    |

  6. Two charged particles, having equal charges of 2.0xx 10^(-5) C each, a...

    Text Solution

    |

  7. Some equipotential surfaces are shown in figure(29.E3) What can you sa...

    Text Solution

    |

  8. Consider a circular ring of radius r, uniformly charged with linear ch...

    Text Solution

    |

  9. An electric field of magnitude 1000 NC ^(-1) is produced between two p...

    Text Solution

    |

  10. A uniform field of 2.0 NC^(-1) exists in space in x direction (a) Taki...

    Text Solution

    |

  11. How much work has to be done in assembling three charged particles at ...

    Text Solution

    |

  12. The kinetc energy of a chargd particle decreased by 10 J as it moves f...

    Text Solution

    |

  13. Two charged particles, having equal charges of 2.0xx 10^(-5) C each, a...

    Text Solution

    |

  14. Two particles have equal masses of 5.0 g each and opposite charges of ...

    Text Solution

    |

  15. A smple of HCl gas is placed in an electric field of 2.5xx 10^4 NC^(-1...

    Text Solution

    |

  16. Two particles A and B, having opposite charges2.0xx 10^(-6) and -2.0 ...

    Text Solution

    |

  17. Three charges are arranged on the vertices of an equilateral triangle ...

    Text Solution

    |

  18. find the magnitude of the electric field at the point P in the configu...

    Text Solution

    |

  19. Two particles, carrying charges -q and +q and having equal masses m ea...

    Text Solution

    |

  20. Assume that each atom in a copper wire contributes one free electron. ...

    Text Solution

    |