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JEE Main 2021 (26 Feb, Shift 2) · Electric Flux & Gauss's Law

Electric Flux & Gauss's Law question from JEE Main 2021 (26 Feb, Shift 2)

Q81JEE Main 2021 · 26 FEB · SHIFT 2Easy

Electric Flux & Gauss's Law

Given below are two statements:

Statement I: An electric dipole is placed at the center of a hollow sphere. The flux of the electric field through the sphere is zero but the electric field is not zero anywhere in the sphere. Statement II: If R is the radius of a solid metallic sphere and Q be the total charge on it. The electric field at any point on the spherical surface of radius r (< R) is zero but the electric flux passing through this closed spherical surface of radius r is not zero.

In the light of the above statements, choose the correct answer from the options given below:

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Answer: (c)

  1. Statement I: dipole has net charge zero, so flux is zero, but the dipole field is non-zero at points in the sphere. True.
  2. Statement II: inside a conductor qenc=0q_{enc} = 0 for r<Rr < R, so E=0E = 0 and flux is also zero. The claim that flux is not zero is false.
  3. So the answer is (c).
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