A cubical region of side a hac its centre at the origin , it encloses three fixed point charges , -q at (0 , -a/4 , 0 ) , +3q at (0,0,0) and -q at (0,+a/4,0) . Choose the correct option (s) .

Options

A. The net electric flux crossing the plane ` x = +a//2` is equal to the net electric flux crossing the plane `x = -a//2 `
B. The net electric flux crossing the plane ` y = +a//2 ` is more than that the net electric flux crossing the [plane ` y = -a//2 `
C. The net electic flux crossing the entire region is `q/(epsilon_(0))`
D. The net electric flux the plane `z = +a//2 ` is equal to the net electric flux crossing the plane `x = +a//2 `

Answer

A, C, D

Explanation

Position of all the charges are symmetric about the planes ` x = (+a)/2 and x = (-a)/2 ` . So net electric flux through them will be same .
Similarly , flux through ` y = (+a)/2 ` is equal to the flux
through `y = (-a)/2 `
`phi = (q_(in))/(epsilon_(0)) = (3q-q-q)/(epsilon_(0)) = q/(epsilon_(0))`
By symmetry flux through ` z = (+a)/2 ` is equal to flux through ` x = (+a)/2 `