Q. No.The circuit shown in the diagram given below, is set up with all the capacitors initially uncharged.
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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1. \(\dfrac{3\varepsilon_0A}{2d}\)
2. \(\dfrac{4\varepsilon_0A}{3d}\)
3. \(\dfrac{\varepsilon_0A}{3d}\)
4. \(\dfrac{\varepsilon_0A}{2d}\)
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| 1. | \(15~\text{V}\) | 2. | \(30~\text{V}\) |
| 3. | \(60~\text{V}\) | 4. | \(120~\text{V}\) |
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| 1. | \(2~\text V\) | 2. | \(3~\text V\) |
| 3. | \(2\sqrt3~\text V\) | 4. | \(\dfrac{2}{\sqrt3}~\text V\) |
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| 1. | \(4~\mu\)F | 2. | \(2.5~\mu \)F |
| 3. | \(2.4~\mu \)F | 4. | \(1.5~\mu \)F |
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