Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Work done in moving a test charge between two points inside a uniformly charged spherical shell is zero, no matter which path is chosen.
Reason R : Electrostatic potential inside a uniformly charged spherical shell is constant and is same as that on the surface of the shell.
In the light of the above statements, choose the correct answer from the options given below
Assertion A : Work done in moving a test charge between two points inside a uniformly charged spherical shell is zero, no matter which path is chosen.
Reason R : Electrostatic potential inside a uniformly charged spherical shell is constant and is same as that on the surface of the shell.
In the light of the above statements, choose the correct answer from the options given below
- (A) is true but is false
- (B)Both and are true and is the correct explanation of ✓ Correct
- (C) is false but is true
- (D)Both and are true but is NOT the correct explanation of
Answer: (B)
Solution
Inside a uniformly charged spherical shell the electric field is zero, so no work is done in carrying a test charge between any two interior points along any path, which makes the assertion true. Because the field is zero throughout the interior, the potential there does not change and stays equal to its value on the shell, which makes the reason true as well. Since a constant potential means zero potential difference, and the work equals charge times potential difference, the constancy of the potential is precisely why the work vanishes. Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
JEE Main · 2025 · 08 Apr 2025 · Shift 2 · Single correct option