Concept:Gauss's law states that the net electric flux through a closed surface is
ε0Qenclosed.
Only charges inside the surface contribute to the net flux.
Explanation:For surface
S1, the enclosed charges are
−2Q and
Q.
So,
Qenclosed=−2Q+Q=−Q.
Thus, net flux through
S1 is
ε0−Q.
Hence, (a) matches with (ii).
For surface
S2, the enclosed charges are
Q and
−Q.
So,
Qenclosed=Q+(−Q)=0.
Thus, net flux through
S2 is zero.
Hence, (b) matches with (iii).
For surface
S3, all three charges
−2Q,
Q, and
−Q are enclosed.
So,
Qenclosed=−2Q+Q−Q=−2Q.
Thus, net flux through
S3 is
ε0−2Q.
Hence, (c) matches with (i).
Answer:The correct matching is a - ii, b - iii, c - i.
Therefore, option D is correct.