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NEET 2015 (AIPMT, Cancelled Paper) · Electric Flux & Gauss's Law

Electric Flux & Gauss's Law question from NEET 2015 (AIPMT, Cancelled Paper)

Q111NEET 2015 · AIPMT · CANCELLED PAPERMedium

Electric Flux & Gauss's Law

The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius 'a' centred at the origin of the field, will be given by

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Answer: (a)

On the sphere $r = a$ : $E = Aa$ , radially outward.
$\phi = Aa\cdot4\pi a^2 = 4\pi Aa^3$
$q = \varepsilon_0\phi = 4\pi\varepsilon_0Aa^3$ , so the answer is (a).

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