A capacitor of capacitance $C=900\ pF$ is charged fully by 100 V battery B as shown in figure (a). Then it is disconnected from the battery and connected to another uncharged capacitor of capacitance $C=900\ pF$ as shown in figure (b). The electrostatic energy stored by the system (b) is

A $1.5\times10^{-6}\ J$
B $4.5\times10^{-6}\ J$
C $3.25\times10^{-6}\ J$
D $2.25\times10^{-6}\ J$