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Q. No.An electric dipole has a fixed dipole moment \(\vec P\), which makes angle \(\theta\) with respect to \(x\)-axis . When subjected to an electric field \(\vec E_1= E \hat i,\) it experiences a torque \(\vec T_1 = \tau \hat k.\) When subjected to another electric field \(\vec E_2 = \sqrt{3}E_1 \hat j\) it experiences a torque \(\vec T_2 = - \vec T_1.\)The angle \(\theta\) is:
1. \(30^{\circ}\)
2. \(45^{\circ}\)
3. \(60^{\circ}\)
4. \(90^{\circ}\)
Subtopic: Electric Dipole |
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A electric dipole is formed by two equal and opposite charges \(q\) with separation \(d\). The charges have same mass \(m\). It is kept in a uniform electric field \(E\). If it is slightly rotated from its equilibrium orientation, then its angular frequency \(\omega\) is:
1. \( \sqrt{\frac{q E}{2 m d}} \)
2. \( \sqrt{\frac{2 q E}{m d}} \)
3. \( 2 \sqrt{\frac{q E}{m d}} \)
4. \( \sqrt{\frac{q E}{m d}}\)
Subtopic: Electric Dipole |
From NCERT
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
In the light of the above statements choose the correct answer from the options given below:
| Assertion (A): | Non-polar materials do not have any permanent dipole moment. |
| Reason (R): | When a non-polar material is placed in an electric field, the centre of the positive charge distribution of its individual atom or molecule coincides with the centre of the negative charge distribution. |
| 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: Electric Dipole |
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Consider the following statements:
| Statement I: | A point charge is brought in an electric field. The value of the electric field at a point near the charge may increase if the charge is positive. |
| Statement II: | An electric dipole is placed in a non-uniform electric field. The net electric force on the dipole will not be zero. |
| 1. | Both Statement I and Statement II are True. |
| 2. | Both Statement I and Statement II are False. |
| 3. | Statement I is True but Statement II is False. |
| 4. | Statement I is False but Statement II is True. |
Subtopic: Electric Dipole |
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Two electric dipoles of dipole moments \(1.2\times10^{-30}\) C-m and \(2.4\times10^{-30}\) C-m are placed in two different uniform electric fields of strengths \(5\times10^{4}\) NC–1 and \(15\times10^{4}\) NC–1 respectively. The ratio of maximum torque experienced by the electric dipoles is \( \dfrac{1}{x}.\) The value of \(x \) is:
| 1. | \(2\) | 2. | \(4\) |
| 3. | \(6\) | 4. | \(8\) |
Subtopic: Electric Dipole |
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An electric dipole is shown in the figure. If it is displaced by a small angle with respect to the electric field, the angular frequency of its oscillation is given by:
1. \(\sqrt{\dfrac{6qE}{ml}}\)
2. \(\sqrt{\dfrac{3qE}{ml}}\)
3. \(\sqrt{\dfrac{2qE}{ml}}\)
4. \(\sqrt{\dfrac{qE}{ml}}\)
1. \(\sqrt{\dfrac{6qE}{ml}}\)
2. \(\sqrt{\dfrac{3qE}{ml}}\)
3. \(\sqrt{\dfrac{2qE}{ml}}\)
4. \(\sqrt{\dfrac{qE}{ml}}\)
Subtopic: Electric Dipole |
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An electric dipole with a dipole moment of \(5~\mu \text{C-m}\) is placed in a uniform electric field of \(600\) N/C, at an angle of \(600\) to the direction of the field. The torque experienced by the dipole, (in milli-Newton-meters) is equal to:
1. \(3\)
2. \(0\)
3. \(0.3\)
4. \(30\)
1. \(3\)
2. \(0\)
3. \(0.3\)
4. \(30\)
Subtopic: Electric Dipole |
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A dipole, with a charge of magnitude \(0.01~\text{C}\) and a separation distance of \(0.4~\text{mm},\) is positioned within an electric field that has a strength of \(10\) dyne/C. The maximum torque exerted on the dipole in this field is:
1. \(4 \times 10^{-9} ~\text {N-m}\)
2. \(2 \times 10^{-10} ~\text {N-m}\)
3. \(4 \times 10^{-10} ~\text {N-m}\)
4. \(2 \times 10^{-9} ~\text {N-m}\)
1. \(4 \times 10^{-9} ~\text {N-m}\)
2. \(2 \times 10^{-10} ~\text {N-m}\)
3. \(4 \times 10^{-10} ~\text {N-m}\)
4. \(2 \times 10^{-9} ~\text {N-m}\)
Subtopic: Electric Dipole |
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The electric field due to a dipole at a point on its equatorial plane varies as \(r^{-n}.\) The value of \(n\) is:
1. \(0\)
2. \(2\)
3. \(-3\)
4. \(3\)
1. \(0\)
2. \(2\)
3. \(-3\)
4. \(3\)
Subtopic: Electric Dipole |
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The electric field due to the electric dipole on the axial position at distance \(r\) from the dipole is proportional to:
(assume \(r>>\) length of the dipole)
1. \( \frac{1}{r}\)
2. \( \frac{1}{r^3}\)
3. \( \frac{1}{r^2}\)
4. \(r\)
(assume \(r>>\) length of the dipole)
1. \( \frac{1}{r}\)
2. \( \frac{1}{r^3}\)
3. \( \frac{1}{r^2}\)
4. \(r\)
Subtopic: Electric Dipole |
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