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JEE Main 2022 (27 Jun, Shift 2) · Electric Flux & Gauss's Law

Electric Flux & Gauss's Law question from JEE Main 2022 (27 Jun, Shift 2)

Q76JEE Main 2022 · 27 JUN · SHIFT 2Medium

Electric Flux & Gauss's Law

If a charge q is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be:

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Answer: (b)

The charge sits at the centre of the flat face, so half of its field lines go into the hemisphere side.
Flux through the closed hemisphere $= \frac{q}{2\varepsilon_0}$ (half of the total $\frac{q}{\varepsilon_0}$ ).
The intended answer is (b) $\frac{q}{2\varepsilon_0}$ .

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