Q. No.
Then, the dipole is:
| 1. | stable in both \(A,B\) |
| 2. | stable in \(A\), unstable in \(B\) |
| 3. | unstable in \(A\), stable in \(B\) |
| 4. | unstable in both \(A,B\) |
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If the potential at the surface of the sphere with '\(q\) alone' is \(V_1\) and with \(q\), \(q'\) together is \(V_2\), then:
1. \(\dfrac{V_1}{V_2}=\dfrac{2}{1}\)
2. \(\dfrac{V_1}{V_2}=\dfrac{4}{3}\)
3. \(\dfrac{V_1}{V_2}=\dfrac{4}{1}\)
4. \(\dfrac{V_1}{V_2}=\dfrac{8}{7}\)
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1. \(C_{ab}+C_{bc}=C_{ac}\)
2. \(\dfrac{1}{C_{ab}}+\dfrac{1}{C_{bc}}=\dfrac{1}{C_{ac}}\)
3. \(\sqrt{C_{ab}\cdot C_{bc}}=C_{ac}\)
4. \(C_{ab}-C_{bc}=C_{ac}\)
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1. increases by \(20\)%
2. decreases by \(20\)%
3. increases by \(33\)%
4. decreases by \(25\)%
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1. \(\dfrac{Q^2}{4\pi\varepsilon_0R}\)
2. \(\dfrac{2Q^2}{4\pi\varepsilon_0R}\)
3. \(\dfrac12 \left ( \dfrac{Q^2}{4\pi\varepsilon_0R} \right )\)
4. \(\dfrac{Q^2}{16\pi\varepsilon_0R}\)
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1. \(W_1=W_2\)
2. \(2W_1 =W_2\)
3. \(W_1 = 2W_2\)
4. \(4W_1 = W_2\)
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| (I) | The charge on the plates. |
| (II) | The potential difference between the plates. |
| (III) | The energy stored in the capacitor. |
Choose the correct option from given ones:
| 1. | (I) only | 2. | (I) and (II) |
| 3. | (I) and (III) | 4. | (I), (II) and (III) |
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| 1. | \(\dfrac{K\varepsilon_0\pi r^2}{d}\) | 2. | \(\dfrac{K\varepsilon_0\pi r^2}{2d}\) |
| 3. | \(\dfrac{K+1}{2}\dfrac{\varepsilon_0\pi r^2}{d}\) | 4. | None of the above |
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| (I) | The charge on the plates increases. |
| (II) | The energy stored in the capacitor increases. |
| (III) | Work is done by the battery as the slab is inserted. |
Choose the correct answer from the options given below:
| 1. | (I), and (II) are True. |
| 2. | (I) and (III) are True. |
| 3. | only (I) is True. |
| 4. | (I), (II), and (III) are True. |
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| 1. | \(\dfrac{3}{2}CE^2\) | 2. | \(\dfrac{1}{2}CE^2\) |
| 3. | \(CE^2\) | 4. | \(\dfrac{5}{2}CE^2\) |
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