Some equipotential surfaces are shown in figure. The electric field at points A, B and C are respectively:
1. | \(1 \mathrm{~V} / \mathrm{cm}, \frac{1}{2} \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along +ve X-axis) }\) |
2. | \(1 \mathrm{~V} / \mathrm{cm}, \frac{1}{2} \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along -ve X-axis) }\) |
3. | \(\frac{1}{2} \mathrm{~V} / \mathrm{cm}, 1 \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along +ve X-axis) }\) |
4. | \(\frac{1}{2} \mathrm{~V} / \mathrm{cm}, 1 \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along -ve X-axis) }\) |
In a certain region of space with volume \(0.2\) m3, the electric potential is found to be \(5\) V throughout. The magnitude of electric field in this region is:
1. \(0.5\) N/C
2. \(1\) N/C
3. \(5\) N/C
4. zero
A short electric dipole has a dipole moment of \(16 \times 10^{-9} ~\text{C-}\text{m}\). The electric potential due to the dipole at a point at a distance of \(0.6~\text{m}\) from the centre of the dipole situated on a line making an angle of \(60^{\circ}\) with the dipole axis is: \(\left( \frac{1}{4\pi \varepsilon_0}= 9\times 10^{9}~\text{N-m}^2/\text{C}^2\right)\)
1. \(200~\text{V}\)
2. \(400~\text{V}\)
3. zero
4. \(50~\text{V}\)
The capacitance of a parallel plate capacitor with air as a medium is \(6~\mu\text{F}\). With the introduction of a dielectric medium, the capacitance becomes \(30~\mu\text{F}\). The permittivity of the medium is:\(\left(\varepsilon_0=8.85 \times 10^{-12} ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\right )\)
1. | \(1.77 \times 10^{-12}~ \text{C}^2 \text{N}^{-1} \text{m}^{-2}\) |
2. | \(0.44 \times 10^{-10} ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\) |
3. | \(5.00 ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\) |
4. | \(0.44 \times 10^{-13} ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\) |
Given below are two statements:
Statement I: | If the separation between two small electric dipoles is doubled without changing their relative orientation, the force between them becomes one eight of the initial value. |
Statement II: | On the equatorial position of an electric dipole, the potential is non-zero |
1. | Statement I is false but Statement II is true. |
2. | Both Statement I and Statement II are true. |
3. | Both Statement I and Statement II are false. |
4. | Statement I is true but Statement II is false. |
Given below are two statements:
Statement I: | The electric field lines are normal to a conducting surface. |
Statement II: | A conducting surface is an equipotential surface in equilibrium. |
1. | Statement I is false but Statement II is true. |
2. | Both Statement I and Statement II are true. |
3. | Both Statement I and Statement II are false. |
4. | Statement I is true but Statement II is false. |
Given below are two statements:
Statement I: | A sensitive electric equipment can be saved from the electric field by enclosing it inside a metallic shell. |
Statement II: | Electric field inside a metallic shell is zero provided that the shell does not enclose any charge. |
1. | Statement I is false but Statement II is true. |
2. | Both Statement I and Statement II are true. |
3. | Both Statement I and Statement II are false. |
4. | Statement I is true but Statement II is false. |
The insulation property of air breaks down at V/m. The maximum charge that can be given to a sphere of diameter 5 m is approximately:
1.
2.
3.
4.
A particle of mass 2 g and charge 1 is held at a distance of 1 m from a fixed charge of 1 mC. If the particle is released then its speed, when it is at a distance of 10 m from the fixed charge, is
1. 55 m/s
2. 100 m/s
3. 45 m/s
4. 90 m/s
The conducting shells A and B are arranged as shown below. If the charge on the shell B is q then electric flux linked with the spherical Gaussian surface S is
1.
2.
3.
4.