Electrostatics 3 Question 11

11. A solid conducting sphere having a charge $Q$ is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be $V$. If the shell is now given a change of $-3 Q$, the new potential difference between the same two surfaces is

(a) $V$

(b) $2 V$

(c) $4 V$

(d) $-2 V$

$(1989,2 M)$

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Answer:

Correct Answer: 11. (c)

Solution:

  1. In such situation potential difference depends only on the charge on inner sphere. Since, charge on inner sphere is unchanged. Therefore, potential difference $V$ will remain unchanged.


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