Q. No.A uniformly charged metallic sphere holds a total charge \(Q_0\) and has a potential \(V_0.\) The total potential energy stored is:
1.
\(Q_0V_0\)
2.
\(\dfrac{Q_0V_0}{2}\)
3.
\(\dfrac{Q_0V_0}{4}\)
4.
\(-Q_0V_0\)
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| 1. | \(\dfrac{A_1+A_2}{2}\) | 2. | \(\sqrt{A_1A_2}\) |
| 3. | \(\dfrac{2A_1A_2}{A_1+A_2}\) | 4. | \(\dfrac{A_1^2A_2^2}{A_1+A_2}\) |
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| 1. | \(1\) | 2. | \(2\) |
| 3. | \(4\) | 4. | \(\sqrt2\) |
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The potential difference between \(A\) and \(B\) when \(A\) is connected to \(X\) and \(B\) is connected to \(Y,\) is:
1. \(2.6\) V
2. \(2.4\) V
3. \(6\) V
4. zero
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The potential difference between \(A\) and \(B,\) after \(A\) is connected to \(Y\) and \(B\) to \(X,\) is:
1. \(2.6\) V
2. \(2.4\) V
3. \(6\) V
4. zero
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1. \(10\) V
2. \(5 \sqrt 2\) V
3. \(10 \sqrt 2\) V
4. \(10 (\sqrt {2} -1)\) V
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| 1. | zero | 2. | \(\dfrac{kq }{2R}\) |
| 3. | \(\dfrac{-kq }{ 2R}\) | 4. | \(\dfrac{2kq }{ R}\) |
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| 1. | \(\dfrac{4\pi\varepsilon_0r^2}{d}\) | 2. | \(\dfrac{2\pi\varepsilon_0r^2}{d}\) |
| 3. | \(\dfrac{\pi\varepsilon_0r^2}{d}\) | 4. | \(\dfrac{\pi\varepsilon_0r^2}{2d}\) |
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| 1. | \(1:2:1\) | 2. | \(1:\dfrac12:1\) |
| 3. | \(1:4:1\) | 4. | \(1:\dfrac14:1\) |
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| Assertion (A): | The potential at the centre cannot be \(0\) V. |
| Reason (R): | Potential in the interior of a sphere must always be greater than the potential on the surface. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
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