AIIMS 2018 Physics Gauss's Law MCQ Question
A point charge –Q is positioned at the center of the base of a square pyramid as shown. The flux through one of the four identical upper faces of the pyramid is
None of these
Correct Answer
Detailed Explanation
The electric flux (Φ) through a surface is given by Gauss's law as Φ = Q_enc/ε₀, where Q_enc is the enclosed charge. In this case, the point charge -Q at the center of the base of the pyramid contributes to the flux through the entire surface of the pyramid, which is 4 times the flux through one of the identical upper faces. Since the total flux through the pyramid is -Q/ε₀, the flux through one upper face is -Q/4ε₀, leading to an absolute value of Q/4ε₀. Other options are incorrect as they miscalculate the distribution of flux among the faces or do not account for the symmetry of the pyramid.
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