Q. No.In the figure, two positive charges q2 and q3 fixed along the y-axis, exert a net electric force in the +x-direction on a charge q1 fixed along the x-axis. If a positive charge Q is added at (x, 0), the force on q1
1. shall increase along the positive x-axis.
2. shall decrease along the positive x-axis.
3. shall point along the negative x-axis.
4. shall increase but the direction changes because of the intersection of Q with q2 and q3.
A point positive charge is brought near an isolated conducting sphere (figure). The electric field is best given by:
1. 
3. 
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 q1, q2, q3, q4, and q5 are fixed at their positions as shown in the figure, S is a Gaussian surface. The Gauss' law is given by . Which of the following statements is correct?
| 1. | E on the LHS of the above equation will have contribution from q1, q5 and q3 while q on the RHS will have a contribution from q2 and q4 only. |
| 2. | E on the LHS of the above equation will have a contribution from all charges while q on the RHS will have a contribution from q2 and q4 only. |
| 3. | E on the LHS of the above equation will have a contribution from all charges while q on the RHS will have a contribution from q1, q3 and q5 only. |
| 4. | Both E on the LHS and q on the RHS will have contributions from q2 and q4 only. |
The figure shows electric field lines in which an electric dipole p 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 +q is placed at a distance d from an isolated conducting plane. The field at a point P 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 \(\int_S E.ds = 0\) 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. |
1. (a, c)
2. (b, c)
3. (c, d)
4. (a, d)
The electric field at a point is:
| 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 |
1. (a, b)
2. (b, d)
3. (c, d)
4. (a, d)
If there were only one type of charge in the universe, then,
| 1. | on any surface. |
| 2. | if the charge is outside the surface. |
| 3. | could not be defined. |
| 4. | if charges of magnitude q were inside the surface. |
1. a and d
2. a and c
3. b and d
4. c and d
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