Home
Class 12
PHYSICS
Select the correct statement....

Select the correct statement.

A

Gauss's law is valid for symmetric charge distributions only

B

Electric field intensity calculated by Gauss's law is due to charges enclosed in the Gaussian surface only

C

Charge should not lie on a Gaussian surface.

D

Electric flux associated with a Gaussian surface is not affected by the charges outside the surface

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the statements given and determine which one is correct based on the principles of Gauss's Law in electrostatics. ### Step-by-Step Solution: 1. **Understanding Gauss's Law**: Gauss's Law states that the electric flux through a closed surface is proportional to the charge enclosed within that surface. Mathematically, it is expressed as: \[ \Phi_E = \oint \mathbf{E} \cdot d\mathbf{A} = \frac{Q_{\text{enclosed}}}{\epsilon_0} \] where \(\Phi_E\) is the electric flux, \(\mathbf{E}\) is the electric field, \(d\mathbf{A}\) is the differential area vector, \(Q_{\text{enclosed}}\) is the charge enclosed by the surface, and \(\epsilon_0\) is the permittivity of free space. 2. **Evaluating Option A**: The statement claims that Gauss's Law is valid only for symmetric charge distributions. This is incorrect. Gauss's Law can be applied to any closed surface regardless of the symmetry of charge distribution. Symmetry simplifies calculations but is not a requirement for the law to hold. 3. **Evaluating Option B**: This option states that the electric field intensity calculated by Gauss's Law is due to the charge enclosed in the Gaussian surface only. This is also incorrect. The electric field at a point on the Gaussian surface is influenced by all charges, both inside and outside the surface. However, only the charge inside contributes to the net electric flux through the surface. 4. **Evaluating Option C**: This option suggests that a charge should not lie on the Gaussian surface. This statement is misleading. While it is true that charges on the surface can complicate calculations, Gauss's Law still holds. The electric flux can still be calculated, but one must consider the contribution of the charge on the surface appropriately. 5. **Evaluating Option D**: This option states that the electric flux associated with a Gaussian surface is not affected by a charge outside the surface. This is correct. Charges outside the Gaussian surface do not contribute to the net electric flux through that surface, as per Gauss's Law. ### Conclusion: The correct statement is **Option D**: "Electric flux associated with a Gaussian surface is not affected by a charge outside the surface."

To solve the question, we need to analyze the statements given and determine which one is correct based on the principles of Gauss's Law in electrostatics. ### Step-by-Step Solution: 1. **Understanding Gauss's Law**: Gauss's Law states that the electric flux through a closed surface is proportional to the charge enclosed within that surface. Mathematically, it is expressed as: \[ \Phi_E = \oint \mathbf{E} \cdot d\mathbf{A} = \frac{Q_{\text{enclosed}}}{\epsilon_0} ...
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC CHARGES AND FIELDS

    MODERN PUBLICATION|Exercise COMPETITION FILE ( Objective Question (D.MCQ) Passage )|10 Videos
  • ELECTRIC CHARGES AND FIELDS

    MODERN PUBLICATION|Exercise COMPETITION FILE ( Objective Question (Assertion Reason ) )|15 Videos
  • ELECTRIC CHARGES AND FIELDS

    MODERN PUBLICATION|Exercise COMPETITION FILE ( Objective Question (BC.MCQ))|10 Videos
  • DUAL NATURE OF RADIATION AND MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos
  • ELECTROMAGNETIC INDUCTION

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST FOR BOARD EXAMINATION|14 Videos
MODERN PUBLICATION-ELECTRIC CHARGES AND FIELDS -COMPETITION FILE ( Objective Question (C.MCQ))
  1. A dipole of Dipole moment vec(p)=(p(0))/(sqrt(2))(hat(i)+hat(j)). Is p...

    Text Solution

    |

  2. Two non-conducting solid spheres of radii R and 2R, having uniform vol...

    Text Solution

    |

  3. There is a solid non-conducting sphere of radius R. Sphere is uniforml...

    Text Solution

    |

  4. An infinitely long thin non-conduction wire is parallel to the z-axis ...

    Text Solution

    |

  5. An electric dipole in placed completely inside a sphere in such a mann...

    Text Solution

    |

  6. An electric dipole is placed in uniform electric field. The magnitude ...

    Text Solution

    |

  7. Electric dipole is placed near a uniformly charged large non-conductin...

    Text Solution

    |

  8. Select the correct statement.

    Text Solution

    |

  9. If the flux of the electric field through a closed surface is zero,

    Text Solution

    |

  10. The process due to which an uncharged insulated metallic conductor ...

    Text Solution

    |

  11. There is a point charge +q inside a hollow sphere and a point charge -...

    Text Solution

    |

  12. There is a line charge of infinite length with positive charge distrib...

    Text Solution

    |

  13. There is a positively charged ring of radius R whose plane in kept ver...

    Text Solution

    |

  14. There is a uniformly charged non-conducting solid sphere. A small sphe...

    Text Solution

    |

  15. There is a long, uniformly charged, non-conducting solid cylinder.

    Text Solution

    |

  16. A point charge q is kept at a corner of a cube

    Text Solution

    |

  17. A point charge q is kept at e distance x from the centre of a neutral ...

    Text Solution

    |

  18. A charged shell of radius R carries a total charge Q. Given phi as the...

    Text Solution

    |

  19. A point charge +Q is place just outside an imaginary hemispherical sur...

    Text Solution

    |