$A$ sphere of radius $1\,cm$ has a potential of $8000\,V$. The energy density near its surface will be:

An electron (charge = $1.6 \times 10^{-19} \text{ C}$) is accelerated through a potential difference of $1,00,000 \text{ V}$. The energy acquired by the electron is:

Which of the following graphs correctly shows how the electrostatic potential $V$ varies with distance $r$ from a point charge?

Assertion : Electric potential and electric potential energy are different quantities.
Reason : For a system of a positive test charge and a point charge,electric potential energy $=$ electric potential.

Assertion $(A)$: The work done by the electrostatic force is zero when a point charge moves in a circular path around another charge.
Reason $(R)$: The dot product of force and displacement vectors gives work done.

Two electric charges $12\,\mu C$ and $-6\,\mu C$ are placed $20\, cm$ apart in air. There will be a point $P$ on the line joining these charges and outside the region between them,at which the electric potential is zero. The distance of $P$ from the $-6\,\mu C$ charge is.......$m$.