Gauss’s law is true only if force due to a charge varies as
${r^{ - 1}}$
${r^{ - 2}}$
${r^{ - 3}}$
${r^{ - 4}}$
A charge $Q$ is fixed at a distance $d$ in front of an infinite metal plate. The lines of force are represented by
Gauss’s law should be invalid if
A hollow cylinder has a charge $q$ coulomb within it. If $\phi$ is the electric flux in units of $volt-meter$ associated with the curved surface $B,$ the flux linked with the plane surface $A$ in units of $V-m$ will be
A cone of base radius $R$ and height $h$ is located in a uniform electric field $\vec E$ parallel to its base. The electric flux entering the cone is
An ellipsoidal cavity is carved within a perfect conductor. A positive charge $q$ is placed at the centre of the cavity. The points $A$ and $B$ are on the cavity surface as shown in the figure. Then