Which of the following statements is correct regarding the electrostatics of conductors?
1. | The interior of the conductor with no cavity can have no excess charge in the static situation. |
2. | The electrostatic potential is constant throughout the volume of the conductor. |
3. | The electrostatic potential has the same value inside as that on its surface. |
4. | All of these. |
1. | Zero and \(\mathrm{Q} / 4 \pi \varepsilon_{\mathrm{o}} \mathrm{R}^2\) |
2. | \(\mathrm{Q} / 4 \pi \varepsilon_{\mathrm{O}} \mathrm{R}\) and zero |
3. | \(\mathrm{Q} / 4 \pi \varepsilon_{\mathrm{O}} \mathrm{R}\) and \(\mathrm{Q} / 4 \pi \varepsilon_{\mathrm{o}} \mathrm{R}^2\) |
4. | Both are zero |
Assertion (A): | A metallic shield in the form of a hollow shell may be built to block an electric field. |
Reason (R): | In a hollow spherical shield, the electric field inside it is zero at every point. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | (A) is False but (R) is True. |
Two concentric metallic spherical shells \(A\) and \(B\) of radii \(a\) and \(b\) respectively \((b>a)\) are arranged such that outer shell is earthed and inner shell is charged to \(Q\). Charge on the outer surface of outer shell will be:
1. \(- \frac{Q a}{b}\)
2. \(Q \left[1 - \frac{a}{b}\right]\)
3. \(-Q\)
4. zero
Two concentric conducting spherical shells carry charge \(Q\) each. The inner shell is earthed. The charge that flows into the earth is:
1. | \(Q\) | 2. | \(\frac{3Q}{2}\) |
3. | \(\frac{-Q}{2}\) | 4. | \(\frac{-3Q}{2}\) |