Four large metallic plates of area A each are kept parallel to each other with a small separation between them as shown in the figure. A cell of emf V is connected across the two outermost plates through a switch `K_(1)`. The two inner plates are similarly connected with a cell of emf 2 V through a switch `k_(2)` Initially both switched are open and the plates, starting form left to right (i.e. number 1 to 4) are given charges `Q, 2 Q, - 2Q` and `- Q` respectively. Now answer the following questions

If `K_(1)` is closed and `K_(2)` is open the charge appearing on the right surface of plate-2 is

Options

A. `(Q)/(2) + ((epsi_(0)A)/(d)) (V)/(4)`
B. `((epsi_(0)A)/(d)) (V)/(4) + (3Q)/(2)`
C. `((epsi_(0)A)/(d)) (V)/(4) - (Q)/(2)`
D. `(3Q)/(2)`

Answer

B