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Assertion: For a point charge concentric...

Assertion: For a point charge concentric spheres centered at a location of the charge are equipotential surfaces.
Reason : An equipotential surface is a surface over which potential has zero value.

A

If both assertion and reason are ture and reason is the correct explanation of assertion.

B

If both assertin and reason are ture but reason is not the correct explanation of assertion .

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that for a point charge, concentric spheres centered at the location of the charge are equipotential surfaces. - **Explanation**: A point charge creates an electric field that radiates outward uniformly in all directions. The potential \( V \) at a distance \( r \) from a point charge \( Q \) is given by the formula: \[ V = \frac{kQ}{r} \] where \( k \) is Coulomb's constant. For any sphere centered at the charge, every point on the surface of the sphere is at the same distance \( r \) from the charge. Therefore, the potential \( V \) is constant across the surface of the sphere. ### Step 2: Understand the Reason The reason states that an equipotential surface is a surface over which the potential has zero value. - **Explanation**: This statement is misleading. An equipotential surface does not necessarily have to have a potential value of zero; rather, it means that the potential is constant across the surface. For example, the potential can be a non-zero constant value. Therefore, the reason provided is incorrect. ### Step 3: Conclusion - The assertion is **true** because concentric spheres around a point charge are indeed equipotential surfaces as they maintain the same potential at all points on the surface. - The reason is **false** because it incorrectly defines equipotential surfaces as having zero potential, rather than constant potential. ### Final Answer - The assertion is true, but the reason is false. Therefore, the correct conclusion is that the assertion is true, but the reason does not correctly explain the assertion. ---

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that for a point charge, concentric spheres centered at the location of the charge are equipotential surfaces. - **Explanation**: A point charge creates an electric field that radiates outward uniformly in all directions. The potential \( V \) at a distance \( r \) from a point charge \( Q \) is given by the formula: \[ V = \frac{kQ}{r} ...
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