Select Chapter Topics:
Q. No.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. \(3\)
Subtopic: Electric Dipole |
68%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
An infinite line charge density \(\lambda\) has a charged particle \((-q, m)\) revolving about it in a circle of radius \(r\). Find the orbital speed
1. \(\sqrt{\frac{\lambda a}{\pi \varepsilon_0 m}} \)
2. \(\sqrt{\frac{\lambda q}{4 \pi \varepsilon_0 m}} \)
3. \(\sqrt{\frac{4 \lambda a}{\pi \varepsilon_0 m}} \)
4. \(\sqrt{\frac{\lambda q}{2 \pi \varepsilon_0 m}}\)
1. \(\sqrt{\frac{\lambda a}{\pi \varepsilon_0 m}} \)
2. \(\sqrt{\frac{\lambda q}{4 \pi \varepsilon_0 m}} \)
3. \(\sqrt{\frac{4 \lambda a}{\pi \varepsilon_0 m}} \)
4. \(\sqrt{\frac{\lambda q}{2 \pi \varepsilon_0 m}}\)
Subtopic: Electric Field |
79%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
A fixed charge \(P\) and a free charge \(Q,\) both having the same charge and mass, are positioned as shown in the diagram. Given that \(q=2 \mu \text{C},\) \(\theta=30^\circ,\) and \(m=20~\text{g},\) what is the maximum height \(h\) attained by the charge \(Q\) in equilibrium on the smooth inclined plane?
1. \(0.1~\text{m}\)
2. \(0.3~\text{m}\)
3. \(0.4~\text{m}\)
4. \(0.5~\text{m}\)
1. \(0.1~\text{m}\)
2. \(0.3~\text{m}\)
3. \(0.4~\text{m}\)
4. \(0.5~\text{m}\)
Subtopic: Coulomb's Law |
67%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
Given below are two statements:
| Assertion (A): | When an electric dipole is completely enclosed by a closed Gaussian surface, the total electric flux through the surface is zero. |
| Reason (R): | The net charge enclosed within the surface is zero. |
| 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. | Both (A) and (R) are False. |
Subtopic: Gauss's Law |
88%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
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. | \(\sqrt{\dfrac{qE}{ml}}\) |
Subtopic: Electric Dipole |
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
An electric dipole having a dipole moment of \(5~\text{microcoulomb-metres}\) is placed in a uniform electric field of magnitude \(600~\text{N/C}.\) If the dipole axis is perpendicular to the direction of the electric field, what is the magnitude of the torque experienced by the dipole (in millinewton- metres)?
| 1. | \(3\) | 2. | \(0\) |
| 3. | \(0.3\) | 4. | \(30\) |
Subtopic: Electric Dipole |
74%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
The graph showing the variation of the electric field \((E)\) with the distance \((r)\) from the centre of a conducting spherical shell is: (where \(R\) is the radius of spherical shell)
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Electric Field |
76%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
A charge of \(10~\mu \text{C}\) is split into two equal parts, and the resulting charges are placed \(1~\text{cm}\) apart. What will be the force of repulsion between the two charges?
| 1. | \(225\) N | 2. | \(450\) N |
| 3. | \(2250\) N | 4. | \(4500\) N |
Subtopic: Coulomb's Law |
81%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.
A line charge of linear charge density \(\lambda\) and a large non-conducting sheet of charge density \(\sigma\) are placed parallel to each other as shown. The ratio of electric field at \(A\) to that at \(B\) is:
1. \(\frac{3}{4}\left(\frac{\lambda-3 \sigma}{\lambda+4 \sigma}\right) \)
2. \(\frac{4}{3}\left(\frac{\lambda-3 \sigma}{\lambda-4 \sigma}\right) \)
3. \(\frac{2}{3}\left(\frac{\lambda-4 \sigma}{\lambda-3 \sigma}\right) \)
4. \(\frac{3}{2}\left(\frac{\lambda-4 \sigma}{\lambda-3 \sigma}\right) \)
1. \(\frac{3}{4}\left(\frac{\lambda-3 \sigma}{\lambda+4 \sigma}\right) \)
2. \(\frac{4}{3}\left(\frac{\lambda-3 \sigma}{\lambda-4 \sigma}\right) \)
3. \(\frac{2}{3}\left(\frac{\lambda-4 \sigma}{\lambda-3 \sigma}\right) \)
4. \(\frac{3}{2}\left(\frac{\lambda-4 \sigma}{\lambda-3 \sigma}\right) \)
Subtopic: Electric Field |
78%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
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 |
76%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
Select Chapter Topics:
© 2026 GoodEd Technologies Pvt. Ltd.