Two large , parallel conducting plates `X` and `Y` , kept close to each other , are given `Q_(1)` and `Q_(2) (Q_(1) gt Q_(2))`. The four surfaces of the plates are `A,B,C` and `D` , as shown

(i) The charge on `A` is `(1)/(2) (Q_(1) + Q_(2))`
(ii) The charge on `B` is `(1)/(2) (Q_(1) - Q_(2))`
(iii) The charge on `C` is `(1)/(2) (Q_(2) - Q_(1))`
(iv) The charge on `D` is `(1)/(2) (Q_(1) + Q_(2))`

Options

A. `(i),(ii)`
B. `(ii),(iii)`
C. `(ii),(iv)`
D. All

Answer

4

Explanation

The outer surfaces of extreme plates have same charge (total `"charge"//2`), facing surfaces have equal and opposite charges.