Two conducting hollow sphere of radius $R$ and $3R$ are found to have $Q$ charge on outer surface when both are connected with a long wire and $q'$ charge is kept at the centre of bigger sphere. Then which one is true

An infinite non-conducting sheet has a surface charge density $\sigma  = 0.10\, \mu C/m^2$ on one side. How far apart are equipotential surfaces whose potentials differ by $50\, V$

This question has Statement $-1$ and Statement $-2$ Of the four choices given after the Statements, choose the one that best describes the two Statements

Statement $1$ : No work is required to be done to move a test charge between any two points on an equipotential surface

Statement $2$ : Electric lines of force at the equipotential surfaces are mutually perpendicular to each other

Draw an equipotential surface of two identical positive charges for small distance.

Figure shows a set of equipotential surfaces. The magnitude and direction of electric field that exists in the region is .........

Assertion $(A):$ A spherical equipotential surface is not possible for a point charge.

Reason $(R):$ A spherical equipotential surface is possible inside a spherical capacitor.