Figure shows a neutral metallic sphere with a point charge $+ Q$ placed near its surface. Electrostatic equilibrium conditions exist on metallic sphere. Mark the correct statements

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Net flux through Gaussian surface due to charge $Q$ is zero

Net flux through Gaussian surface due to charges appearing on the outer surface of metallic sphere must be zero

If point charge $Q$ is displaced towards metallic sphere, magnitude of net flux through right hemispherical closed Gaussian surface increases.

If point charge $Q$ is displaced towards metallic sphere, charge distribution on outer surface of sphere will change

answer is A, B, C, D.

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Detailed Solution

(A) Net charge enclosed by Gaussian surface is zero.
(B) Net charge enclosed by Gaussian surface is zero.
(C) As the change is displaced towards sphere amount of negative charge induced on right half of sphere will increase hence net flux through right hemispherical closed Gaussian surface increases.
(D) Same reason as (C) and hence charge distribution on outer surface of sphere will change.

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