4
MCQ (Single Correct Answer)
Five charges $q_1, q_2, q_3, q_4$, and $q_5$ are fixed at their positions as shown in Figure, $S$ is a Gaussian surface. The Gauss' law is given by $\int_S E . d S=\frac{q}{\varepsilon_0}$. Which of the following statements is correct?
A
$\mathbf{E}$ on the LHS of the above equation will have a contribution from $q_1, q_5$ and $q_1, q_5$ and $q_3$ while $q$ on the RHS will have a contribution from $q_2$ and $q_4$ only
B
$\mathbf{E}$ on the LHS of the above equation will have a contribution from all charges while $q$ on the RHS will have a contribution from $q_2$ and $q_4$ only
C
$\mathbf{E}$ on the LHS of the above equation will have a contribution from all charges while $q$ on the RHS will have a contribution from $q_1, q_3$ and $q_5$ only
D
Both $\mathbf{E}$ on the LHS and $q$ on the RHS will have contributions from $q_2$ and $q_4$ only
5
MCQ (Single Correct Answer)
Figure shows electric field lines in which an electric dipole $P$ is placed as shown. Which of the following statements is correct?
A
The dipole will not experience any force
B
The dipole will experience a force towards right
C
The dipole will experience a force towards left
D
The dipole will experience a force upwards
6
MCQ (Single Correct Answer)
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
A
directed perpendicular to the plane and away from the plane
B
directed perpendicular to the plane but towards the plane
C
directed radially away from the point charge
D
directed radially towards the point charge
7
MCQ (Single Correct Answer)
A hemisphere is uniformely charged positively. The electric field at a point on a diameter away from the centre is directed
A
perpendicular to the diameter
B
parallel to the diameter
C
at an angle tilted towards the diameter
D
at an angle tilted away from the diameter
8
MCQ (Multiple Correct Answer)
If $\int_S \mathbf{E} . \mathrm{dS}=0$ 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