Figure shows a system of three concentric metal shells A, B and \( ...

Figure shows a system of three concentric metal shells A, B and \( \mathrm{C} \) with radii a, 2a and 3 a respectively. Shell B is earthed and shell \( \mathrm{C} \) is given a charge Q. Now if shell \( \mathrm{C} \) is connected to shell \( \mathrm{A} \), then the
\( \mathrm{P} \) final charge on the shell \( \mathrm{B} \), is equal to :

W
(A) \( -\frac{4 Q}{13} \)
(B) \( -\frac{8 Q}{11} \)
(C) \( -\frac{5 Q}{3} \)
(D) \( -\frac{3 Q}{7} \)