1. | \(\begin{aligned} & \sigma_1 \neq 0, Q_1=0, ~~\text{and}~~\sigma_2 \neq 0, Q_2=0 \end{aligned}\) |
2. | \(\begin{aligned} & \sigma_1=0, Q_1=0,~~\text{and}~~ \sigma_2=0, Q_2=0 \end{aligned}\) |
3. | \(\begin{aligned} \sigma_1 & \neq 0, Q_1 \neq 0,~~\text{and}~~ \sigma_2 \neq 0, Q_2 \neq 0 \end{aligned}\) |
4. | \(\begin{aligned} & \sigma_1 \neq 0, Q_1=0, ~~\text{and}~~\sigma_2=0, Q_2=0 \end{aligned}\) |
A solid conducting sphere, having a charge \(Q\), is surrounded by an uncharged 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 charge of \(-4Q\), the new potential difference between the same two surfaces is:
1. \(-2V\)
2. \(2V\)
3. \(V\)
4. \(4V\)
Statement I: | Electric potential is constant within and at the surface of each conductor. |
Statement II: | An electric field just outside a charged conductor is perpendicular to the surface of the conductor at every point. |
1. | Both Statement I and Statement II are correct. |
2. | Both Statement I and Statement II are incorrect. |
3. | Statement I is correct but Statement II is incorrect. |
4. | Statement I is incorrect but Statement II is correct. |