Consider three point charges -2Q, Q and -Q and three surfaces S₁, S₂ and S₃ as shown in the figure. Match the entries of List-I with that of List-II. List-I List-II (a) Net flux through S₁ (i) -2Q ₀ (b) Net flux through S₂ (ii) -Q ₀ (c) Net flux through S₃ (iii) Zero

Step-by-step solution

According to Gauss's Law, the net electric flux through any closed surface is given by = Q_ enclosed ₀ . For surface S₁ , the enclosed charges are -2Q and Q . Net charge enclosed by S₁ = -2Q + Q = -Q . Net flux through S₁ = -Q ₀ . Thus, (a) matches with (ii). For surface S₂ , the enclosed charges are Q and -Q . Net charge enclosed by S₂ = Q + (-Q) = 0 . Net flux through S₂ = 0 . Thus, (b) matches with (iii). For surface S₃ , the enclosed charges are -2Q , Q , and -Q . Net charge enclosed by S₃ = -2Q + Q + (-Q) = -2