Two spheres of radii $r$ and $R$ carry charges $q$ and $Q$ respectively. When they are connected by a wire,…
Two spheres of radii $r$ and $R$ carry charges $q$ and $Q$ respectively. When they are connected by a wire, there will be no loss of energy of the system if
$q=Q R$
$q R=Q r$
$q r^{2}=Q R^{2}$
$q R^{2}=Q^{2}$
Solution
There will be no loss of energy if the potential of the spheres is the same i.e. if
$V=\frac{q}{4 \pi \varepsilon_{0} r}=\frac{Q}{4 \pi \varepsilon_{0} R}$ or $\frac{q}{r}=\frac{Q}{R}$
$\therefore$ (b)