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. |
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)
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. |
Consider a region inside where there are various types of charges but the total charge is zero. At points outside the region:
a. | the electric field is necessarily zero. |
b. | the electric field is due to the dipole moment of the charge distribution only. |
c. | the dominant electric field is for large r, where r is the distance from the origin in this region. |
d. | the work done to move a charged particle along a closed path, away from the region, will be zero. |
Which of the above statements are true?
1. b and d
2. a and c
3. b and c
4. c and d
Refer to the arrangement of charges in the figure and a Gaussian surface of radius R with Q at the centre. Then:
a. | total flux through the surface of the sphere is . |
b. | field on the surface of the sphere is . |
c. | flux through the surface of the sphere due to 5Q is zero. |
d. | field on the surface of the sphere due to -2Q is the same everywhere. |
Choose the correct statement(s):
1. a and d
2. a and c
3. b and d
4. c and d