JEE Main20258 Apr 2025Evening ShiftPhysicsElectrostaticsActual
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 st
Options
- AA is true but R is false
- BBoth A and R are true and R is the correct explanation of A
- CA is false but R is true
- DBoth A and R are true but R is NOT the correct explanation of A
Correct answer
B. Both A and R are true and R is the correct explanation of A
Step-by-step solution
For a uniformly charged spherical shell: - The electric field inside the shell is zero everywhere (from Gauss's law) * When the electric field is zero, no work is done in moving a charge - Since work - force displacement, and force - q̧E (where E - 0), work - 0 - The potential inside is constant and equal to the value at the surface Assertion A is correct: Since the electric field is zero everywhere inside the shell, no work is done moving a charge between any two points, regardless of path. Reason R is correct: Th