Three large identical conducting plates of area A are closely placed parallel to each other as shown (the area A is perpendicular to plane of diagram). The net charge on left, middle and right plates are `Q_(L), Q_(M)` and `Q_(R )` respectively. Three infinitely large parallel surface `S_(L), S_(M)` and `S_(R )` are drawn passing through middle of each plate such that surface are perpendicular to plane of diagram as shown. Then pick up the correct option(s).

Options

A. The net charge on left side of surface `S_(L)` is equal to net charge on right side of surface `S_(R )`
B. The net charge on left side of surface `S_(L)` is equal to net charge on right side of surface `S_(M)`
C. The net charge on left side of surface `S_(L)` is equal to net charge on right side of surface `S_(L)`
D. The net charge on right side of surface `S_(L)` is equal to net charge on left side of surface `S_(R )`

Explanation

Since electric field on plate at surface `S_(L)` is zero, net charge on left side of `S_(L)` is equal to net charhge on right side of `S_(L)` . Further net charge between any two dotted surfaces (out of `S_(L),S_(M)` and `S_(R)`) is zero from Gauss theorem.
`:.` Charge on left most surface `q_(1)` is equal to charge on rigth most surface `q_(6),` that is, `q_(1)=q_(6)` hence all statements are true.