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JEE Main 2012 (AIEEE) · Electric Flux & Gauss's Law

Electric Flux & Gauss's Law question from JEE Main 2012 (AIEEE)

Q118JEE Main 2012 · AIEEEEasy

Electric Flux & Gauss's Law

In a uniformly charged sphere of total charge QQ and radius R,R, the electric field EE is plotted as a function of distance from the center. The graph which would correspond to the above will be:

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Answer: (c)

  1. Uniformly charged (non-conducting) sphere: inside E∝rE \propto r, outside E∝1r2E \propto \dfrac{1}{r^2}.
  2. Graph rises linearly to a peak at RR, then falls as 1r2\dfrac{1}{r^2}.
  3. So the answer is (c).
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