A series combination of $n_{1}$ capacitors, each of capacity $C_{1}$ is charged by source of potential difference 4V. When another parallel combination of $n_{2}$ capacitors each of capacity $C_{2}$ is charged by a source of potential difference $V$, it has the same total energy stored in it as the first combination has. The value of $C_{2}$ in terms of $C_{1}$ is then (1) $16\frac{n_{2}}{n_{1}}C_{1}$ (2) $\frac{2C_{1}}{n_{1}n_{2}}$ (3) $2\frac{n_{2}}{n_{1}}C_{1}$ (4) $\frac{16C_{1}}{n_{1}n_{2}}$
A series combination of $n_{1}$ capacitors, each of capacity $C_{1}$ is charged by source of potential difference 4V. When another parallel combination of $n_{2}$ capacitors each of capacity $C_{2}$ is charged by a source of potential difference $V$, it has the same total energy stored in it as the first combination has. The value of $C_{2}$ in terms of $C_{1}$ is then\\
(1) $16\frac{n_{2}}{n_{1}}C_{1}$\\
(2) $\frac{2C_{1}}{n_{1}n_{2}}$\\
(3) $2\frac{n_{2}}{n_{1}}C_{1}$\\
(4) $\frac{16C_{1}}{n_{1}n_{2}}$