JEE MainPhysicsElectrostaticsMCQ+4 / −1
A charge Q is distributed over three concentric spherical shells of radii a, b, c (a < b < c) such that their surface charge densities are equal to one another. The total potential at a point at distance r from their common centre, where r < a, would be -
- A
- B
- C
- D
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Correct answer: D
-
Let the common surface charge density be .
Since charge is distributed on three concentric spherical shells of radii with equal surface charge density, the charges on the shells are:
-
Use total charge .
Hence,
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Potential at a point inside a spherical shell.
For a spherical shell of radius carrying charge , the potential at any interior point is constant:
Since , the point lies inside all three shells.
Therefore total potential is:
-
Substitute .
-
Now substitute .
-
Compare with options.
This matches Option D:
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