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. |
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: | 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. |
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. | \(\frac{1}{2} \mathrm{~V} / \mathrm{cm}, 1 \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along -ve X-axis) }\) |
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.
Which of the following is incorrect about the electrostatic field lines?
1. These can be never be closed curves
2. On a conducting surface, the lines are perpendicular
3. They can pass through a conductor
4. If the lines are equispaced and parallel to one another, then the field is uniform
An electric field is given by \(\vec E=(\hat i+2\hat j+\hat k)\) N/C. The work done in moving a \(1\) C charge from \(\vec {r_A}=(2\hat i+2\hat j)\) m to \(\vec {r_B}=(4\hat i+\hat j)\) m is:
1. \(8\) J
2. \(4\) J
3. \(-4\) J
4. zero
If n identical drops, each of capacitance C, coalesce to form a single big drop, the capacitance of the big drop will be
1.
2. nC
3.
4.