Answer :
As we know, the electric flux through a surface element ds is
Where,
is the electric field passing through the area
∆S is the area element
θ is the angle between the area element and electric field
The point A and C lie in the straight line with the charge q,
While the points B and D make an angle θ with the area element,
Thus, Electric flux at point A and C is
(θ=0o for the point in the straight line)
Hence, the flux of the electric field through the hemisphere remains unchanged when second charge is placed at point A and C.
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