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Q. No.The figure shows two point charges \(+{Q}\) and \(– {Q}\) inside the cavity of a spherical shell. The charges are kept near the surface of the cavity on opposite sides of the centre of the shell. If \(\sigma _1\) is the surface charge on the inner surface and \({Q}_1\) net charge on it and \(\sigma _2\) the surface charge on the outer surface and \({Q}_2\) net charge on it then:
| 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. | \(\begin{aligned} & \sigma_1 \neq 0, Q_1=0, ~~\text{and}~~\sigma_2=0, Q_2=0 \end{aligned}\) |
Subtopic: Electrostatic Shielding |
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Level 2: 60%+
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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. \(4V\)
Subtopic: Electrostatic Shielding |
64%
Level 2: 60%+
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Given below are two statements:
| 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. |
Subtopic: Electrostatic Shielding |
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Level 1: 80%+
JEE
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Given below are two statements:
Choose the correct answer from the options given below:
| Assertion (A): | In electrostatics, a conductor does not store any net charge inside. |
| Reason (R): | Inside the capacitor (with no dielectric medium), the free charge carriers, if placed between the plates of capacitor, experience force and drift. |
| 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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