Home
Class 11
PHYSICS
The electric potential in a region is gi...

The electric potential in a region is given by the relation `V(x) = 4+5x^2`. If a dipole is placed at position (-1,0) with dipole moment `vecP` pointing along positive y-direction, then

A

Net force on the dipole is zero.

B

Net torque on the dipole is zero

C

Net torque on the dipole is not zero and it is in clockwise direction

D

Net torque on the dipole is not zero it is in anticlockwise direction

Text Solution

Verified by Experts

The correct Answer is:
A, C

`V(x)=4+5x^(2)rArr vec(E)=-10xhat(i)`
`:.` Met force will be zero and torque not zero and rotation will be along clockwise direction
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example Some worked out Examples|1 Videos
  • MISCELLANEOUS

    ALLEN|Exercise Exercise-01|87 Videos
  • MISCELLANEOUS

    ALLEN|Exercise Question|1 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|8 Videos

Similar Questions

Explore conceptually related problems

The electric potential at any point x,y and z in metres is given by V = 3x^(2) . The electric field at a point (2,0,1) is

An electric dipole is placed at origin in the xy plane with its orientation along the positive x-axis. The direction is electric field .

An electric dipole is placed along x -axis with its centre at origin:

A small electric dipole is placed at origin with its dipole moment directed along positive x-axis .The direction of electric field at point (2,2sqrt(2),0)

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 . If its dipole moment is along the direction of the field, the force on it and its potential energy are respectively

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 . If its dipole moment is along the direction of the field, the force on it and its potential energy are respectively (a) 2qE and minimum (b) qE and pE (c) zero and minimum (d) qE and maximum

The electric potential V at any point (x,y,z) , all in meters in space is given by V= 4x^(2) volt. The electric field at the point (1,0,2) in volt//meter is

Variation of x-component of electric field with x-coordinate in a region is given in the graph. A small electric dipole having dipole moment p_(0)hati is placed at origin, then net force on the dipole is:

The electric potential at a distance of 3 m on the axis of a short dipole of dipole moment 4 xx 10^(-12) coulomb-metre is

The electric potential V at any point x,y,z (all in metre) in space is given by V=4x^2 volt. The electric field at the point (1m, 0, 2m) is …………… V/m .

ALLEN-MISCELLANEOUS-Part -II Example
  1. Two positrons (e+) and two protons (p) are kept on four corners of a s...

    Text Solution

    |

  2. Four charges are placed at the circumference of a dial clock as shown ...

    Text Solution

    |

  3. A small electric dipole is placed at origin with its dipole moment dir...

    Text Solution

    |

  4. Uniform electric field of magnitude 100 Vm^-1 in space is directed alo...

    Text Solution

    |

  5. Figure shows a uniformly charged hemisphere of radius R. It has a volu...

    Text Solution

    |

  6. A metallic rod of length I rotates at angular velocity omega about an...

    Text Solution

    |

  7. Consider a finite charged rod. Electric field at point P (shown) makes...

    Text Solution

    |

  8. The electric potential in a region is given by the relation V(x) = 4+5...

    Text Solution

    |

  9. A thin homogeneous rod of mass m and length l is free to rotate in ver...

    Text Solution

    |

  10. A thin homogeneous rod of mass m and length l is free to rotate in ver...

    Text Solution

    |

  11. A thin homogeneous rod of mass m and length l is free to rotate in ver...

    Text Solution

    |

  12. A simple pendulum is suspended in a lift which is going up with an acc...

    Text Solution

    |

  13. The variation of potential with distance x from a fixed point is shown...

    Text Solution

    |

  14. The energy density u is plotted against the distance r from the centre...

    Text Solution

    |

  15. The figure shown four situations in which charges as indicated (q gt 0...

    Text Solution

    |

  16. An electric field is given by E=(y hat(i)+ xhat(k))N//C. Work done in ...

    Text Solution

    |

  17. The arrangement shown consists of three elements. (i) A thin rod of ...

    Text Solution

    |

  18. Six charges are kept at the vertices of a regular hexagon as shown in ...

    Text Solution

    |

  19. Electric field in a region is given by vec(E)=-4xhat(i)+6yhat(j). The ...

    Text Solution

    |

  20. An infinite plane of charge with sigma=2 in(0) C/m^(2) is tilted at a ...

    Text Solution

    |