[ Level 2 ]

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 ${\oint }_S\overrightarrow{E}·\overrightarrow{\mathrm{d}S}=\frac{q}{{\mathrm{\epsilon }}_0}$. Which of the following statements is correct?

Figure shows electric field lines in which an electric dipole $p$ is placed as shown. Which of the following statements is correct?

A point charge $+q$ is placed at a distance $d$ from an isolated conducting plane. The electric field at a point $P$ on the other side of the plane is

A hemisphere is uniformly positively charged. The electric field at a point on a diameter away from the centre is directed

A capacitor of $4 \mathrm{\mu F}$ is connected as shown in the circuit. The internal resistance of the battery is $0.5 \mathrm{\Omega }$. The amount of charge on the capacitor plates will be

A positively charged particle is released from rest in an uniform electric field. The electric potential energy of the charge.

Figure shows some equipotential lines distributed in space. A charged object is moved from point $A$ to point $B$.

The electrostatic potential on the surface of a charged conducting sphere is $100 \mathrm{V}$. Two statements are made in this regard

$S_1$: At any point inside the sphere, electric intensity is zero.

$S_2$: At any point inside the sphere, the electrostatic potential is $100 \mathrm{V}$.

Which of the following is a correct statement?