1. | \(2~\text{mC}\) | 2. | \(8~\text{mC}\) |
3. | \(6~\text{mC}\) | 4. | \(4~\text{mC}\) |
1. | \(\frac{1}{{R}^{6}}\) | 2. | \(\frac{1}{{R}^{2}}\) |
3. | \(\frac{1}{{R}^{3}}\) | 4. | \(\frac{1}{{R}^{4}}\) |
Polar molecules are the molecules:
1. | that acquires a dipole moment only when the magnetic field is absent. |
2. | has a permanent electric dipole moment. |
3. | has zero dipole moment. |
4. | that acquire a dipole moment only in the presence of an electric field due to displacement of charges. |
A dipole is placed in an electric field as shown. In which direction will it move?
1. | towards the left as its potential energy will decrease. |
2. | towards the right as its potential energy will increase. |
3. | towards the left as its potential energy will increase. |
4. | towards the right as its potential energy will decrease. |
The electric field at a point on the equatorial plane at a distance \(r\) from the centre of a dipole having dipole moment \(\overrightarrow{P}\) is given by:
(\(r\gg\) separation of two charges forming the dipole, \(\varepsilon_{0} =\) permittivity of free space)
1. | \(\overrightarrow{E}=\frac{\overrightarrow{P}}{4\pi \varepsilon _{0}r^{3}}\) | 2. | \(\overrightarrow{E}=\frac{2\overrightarrow{P}}{\pi \varepsilon _{0}r^{3}}\) |
3. | \(\overrightarrow{E}=-\frac{\overrightarrow{P}}{4\pi \varepsilon _{0}r^{2}}\) | 4. | \(\overrightarrow{E}=-\frac{\overrightarrow{P}}{4\pi \varepsilon _{0}r^{3}}\) |