In the figure, two positive charges and fixed along the -axis, exert a net electric force in the direction on a charge fixed along the -axis. If a positive charge is added at the force on :
1. | shall increase along the positive -axis. |
2. | shall decrease along the positive -axis. |
3. | shall point along the negative -axis. |
4. | shall increase but the direction changes because of the intersection of with and . |
A point positive charge is brought near an isolated conducting sphere (figure). The electric field is best given by:
1. | ![]() |
2. | ![]() |
3. | ![]() |
4. | ![]() |
The electric flux through the surface:
1. | in figure-(iv) is the largest |
2. | in figure-(iii) is the least |
3. | in figure-(ii) is same as figure-(iii) but is smaller than figure-(iv) |
4. | is the same for all the figures |
Five charges are fixed at their positions as shown in the figure, is a Gaussian surface. The Gauss' law is given by . Which of the following statements is correct?
1. | on the LHS of the above equation will have contribution from while on the RHS will have a contribution from only. |
2. | on the LHS of the above equation will have a contribution from all charges while on the RHS will have a contribution from only. |
3. | on the LHS of the above equation will have a contribution from all charges while on the RHS will have a contribution from only. |
4. | Both on the LHS and on the RHS will have contributions from and only. |
The figure shows electric field lines in which an electric dipole is placed as shown. Which of the following statements is correct?
1. | The dipole will not experience any force. |
2. | The dipole will experience a force towards the right. |
3. | The dipole will experience a force towards the left. |
4. | The dipole will experience a force upwards. |
A point charge is placed at a distance from an isolated conducting plane. The field at a point on the other side of the plane is:
1. | directed perpendicular to the plane and away from the plane. |
2. | directed perpendicular to the plane but towards the plane. |
3. | directed radially away from the point charge. |
4. | directed radially towards the point charge. |
A hemisphere is uniformly charged positively. The electric field at a point on a diameter away from the centre is directed:
1. | perpendicular to the diameter. |
2. | parallel to the diameter. |
3. | at an angle tilted towards the diameter. |
4. | at an angle tilted away from the diameter. |
If over a surface, then:
(a) | the electric field inside the surface and on it is zero. |
(b) | the electric field inside the surface is necessarily uniform. |
(c) | the number of flux lines entering the surface must be equal to the number of flux lines leaving it. |
(d) | all charges must necessarily be outside the surface. |
Choose the correct statement(s):
1. (a), (c)
2. (b), (c)
3. (c), (d)
4. (a), (d)
(a) | always continuous. |
(b) | continuous if there is no charge at that point. |
(c) | discontinuous only if there is a negative charge at that point. |
(d) | discontinuous if there is a charge at that point. |
Choose the correct option:
1. | (a), (b) | 2. | (b), (d) |
3. | (c), (d) | 4. | (a), (d) |
(a) | on any surface |
(b) | if the charge is outside the surface. |
(c) | could not be defined. |
(d) | if charges of magnitude were inside the surface. |
1. | (a) and (d) | 2. | (a) and (c) |
3. | (b) and (d) | 4. | (c) and (d) |