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Which of the following statement(s) is/are correct?
  • a)
    If the electric field due to a point charge varies as r-2.5 instead of r-2, then the Gauss law will still be valid.
  • b)
    The Gauss law can be used to calculate the field distribution around an electric dipole
  • c)
    If the electric field between two point charges is zero somewhere, then the sign of the two charges is the same.
  • d)
    The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA).
Correct answer is option 'C,D'. Can you explain this answer?
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Which of the following statement(s) is/are correct?a)If the electric f...
(D) is correct if we assume it is work done against electrostatic force
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Which of the following statement(s) is/are correct?a)If the electric f...
a) If the electric field due to a point charge varies as r-2.5 instead of r-2, then the Gauss law will still be valid.

This statement is incorrect. According to Gauss's law, the total electric flux through a closed surface is equal to the charge enclosed by that surface divided by the permittivity of the medium. If the electric field due to a point charge varies as r-2.5, the electric flux through a closed surface will not be proportional to the charge enclosed, and therefore Gauss's law will not be valid.

b) The Gauss law can be used to calculate the field distribution around an electric dipole

This statement is correct. The Gauss law can be used to calculate the electric field distribution around any charge distribution, including an electric dipole. By choosing an appropriate Gaussian surface, one can evaluate the flux through that surface and determine the electric field at any point around the dipole.

c) If the electric field between two point charges is zero somewhere, then the sign of the two charges is the same.

This statement is correct. If the electric field between two point charges is zero at a particular point, it means that the magnitudes of the electric field vectors due to each charge at that point are equal and opposite. Since the magnitudes are equal, the charges must have the same sign for the vector sum to be zero.

d) The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA).

This statement is correct. The work done by an external force in moving a charge is given by the change in electric potential energy. The change in potential energy is equal to the charge multiplied by the potential difference between the two points. Therefore, the work done in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA).
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Which of the following statement(s) is/are correct?a)If the electric field due to a point charge varies as r-2.5 instead of r-2, then the Gauss law will still bevalid.b)The Gauss law can be used to calculate the field distribution around an electric dipolec)If the electric field between two point charges is zero somewhere, then the sign of the two charges isthe same.d)The work done by the external force in moving a unit positive charge from point A at potential VA topoint B at potential VB is (VB - VA).Correct answer is option 'C,D'. Can you explain this answer?
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