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Statement-1: Two concentric conducting spherical shells are charged. The charge on the outer shell is varied while the inner shell charge is kept constant. The electric potential difference between the two shells does not change. Statement-2: When charge on a thin conducting spherical shell is changed, the electric potential at every interior point changes by the same amount.
- Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
- Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
- Statement-1 is True, Statement-2 is False.
- Statement-1 is False, Statement-2 is True.
Correct answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
Solution
The electric field between the two shells arises solely from the inner shell (outer shell field cancels inside a conductor). Hence the potential difference V_inner - V_outer depends only on the inner charge, confirming Statement-1. Statement-2 is also true: a spherical shell creates a uniform potential kQ/R inside, so any change in Q shifts the potential at every interior point by the same delta(kQ/R). This is exactly why Statement-1 holds, making Statement-2 the correct explanation.
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