Q235 / 240 · KCET 2026 · Physics
Consider three point charges $-2Q, Q$ and $-Q$ and three surfaces $S_1, S_2$ and $S_3$ as shown in the figure. Match the entries of List-I with that of List-II.

List-I List-II (a) Net flux through $S_1$ (i) $\dfrac{-2Q}{\varepsilon_0}$ (b) Net flux through $S_2$ (ii) $\dfrac{-Q}{\varepsilon_0}$ (c) Net flux through $S_3$ (iii) Zero

| List-I | List-II |
|---|---|
| (a) Net flux through $S_1$ | (i) $\dfrac{-2Q}{\varepsilon_0}$ |
| (b) Net flux through $S_2$ | (ii) $\dfrac{-Q}{\varepsilon_0}$ |
| (c) Net flux through $S_3$ | (iii) Zero |
- Aa - ii, b - i, c – iii
- Ba - iii, b - ii, c – i
- Ca - i, b - ii, c – iii
- Correct answerDa - ii, b - iii, c – i
Solution
According to Gauss's Law, the net electric flux through any closed surface is given by $\Phi = \dfrac{Q_{\text{enclosed}}}{\varepsilon_0}$.
For surface $S_1$, the enclosed charges are $-2Q$ and $Q$.
Net charge enclosed by $S_1 = -2Q + Q = -Q$.
Net flux through $S_1 = \dfrac{-Q}{\varepsilon_0}$.
Thus, (a) matches with (ii).
For surface $S_2$, the enclosed charges are $Q$ and $-Q$.
Net charge enclosed by $S_2 = Q + (-Q) = 0$.
Net flux through $S_2 = 0$.
Thus, (b) matches with (iii).
For surface $S_3$, the enclosed charges are $-2Q$, $Q$, and $-Q$.
Net charge enclosed by $S_3 = -2Q + Q + (-Q) = -2Q$.
Net flux through $S_3 = \dfrac{-2Q}{\varepsilon_0}$.
Thus, (c) matches with (i).
The correct matching is a - ii, b - iii, c - i.
Answer: a - ii, b - iii, c – i
For surface $S_1$, the enclosed charges are $-2Q$ and $Q$.
Net charge enclosed by $S_1 = -2Q + Q = -Q$.
Net flux through $S_1 = \dfrac{-Q}{\varepsilon_0}$.
Thus, (a) matches with (ii).
For surface $S_2$, the enclosed charges are $Q$ and $-Q$.
Net charge enclosed by $S_2 = Q + (-Q) = 0$.
Net flux through $S_2 = 0$.
Thus, (b) matches with (iii).
For surface $S_3$, the enclosed charges are $-2Q$, $Q$, and $-Q$.
Net charge enclosed by $S_3 = -2Q + Q + (-Q) = -2Q$.
Net flux through $S_3 = \dfrac{-2Q}{\varepsilon_0}$.
Thus, (c) matches with (i).
The correct matching is a - ii, b - iii, c - i.
Answer: a - ii, b - iii, c – i
Hence, the correct answer is option: 'D'.