A charged spherical conductor has two cavities. A point charge $q_1$ is placed inside the cavity-$1$ and ${\mathrm{q}}_2$ inside the cavity-$2$. '$Q$' charge is given to the conductor. A point charge '$q$' is also placed outside the conductor. Choose the CORRECT alternative(s).

Given below are two statements.
Statement I : Electric potential is constant within and at the surface of each conductor.

Statement II : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at every point.

In the light of the above statements, choose the most appropriate answer from the options give below.

A hollow conducting sphere is placed in an electric field produced by a point charge placed at $P$ as shown in figure. Let $V_A, V_B, V_C$ be the potentials at points $A, B$ and $C$, respectively. Then

Consider an initially neutral hollow conducting spherical shell with inner radius $r$ and outer radius $2r.$ A point charge $+Q$ is now placed inside the shell at a distance $\frac{r}{2}$ from the center. The shell is then grounded by connecting the outer surface to the earth. P is an external point at a distance $2r$ from the point charge $+Q$ on the line passing through the center and the point charge $+Q$ as shown in the figure.



The magnitude of the force on a test charge $+q$ placed at P will be

Three concentric spherical shells are arranged as shown in the figure. The innermost and outermost spheres are connected to earth. If the middle sphere is given a charge $q_0$. the charges induced in the innermost and outermost spheres respectively are

A spherical conductor $A$ is placed concentrically inside a hollow spherical conductor $B$. The charge $+Q$ is given to $A$ and $B$ is earthed. Then the electric field is not zero

As shown in figure there are two fixed uniformly charged concentric coplanar conducting rings having radius $R$ and $4R$ and charges $+Q$ and $–8Q$ respectively. A charge particle of mass $m$ & charge $–q$ is projected along the axis of rings from point $P$ so that particle can just reach the center of rings (point $O$ ). (Assume $Qq > 0$ .)