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.
Subtopic:  Electrostatic Shielding |
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A conducting sphere of radius \(R\) is given a charge \(Q\). The electric potential and field at the center of the sphere respectively are:
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
Subtopic:  Electrostatic Shielding |
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Given below are two statements: 
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.
Subtopic:  Electrostatic Shielding |
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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

Subtopic:  Electrostatic Shielding |
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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. \(\frac{-3Q}{2}\)
Subtopic:  Electrostatic Shielding |
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