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By Gauss's theorem, the net flux depends only on the charge enclosed by the surface. Hence, there will be no effect on the net flux if the radius of the surface is doubled.

  1. q / ε₀
  2. q / 2ε₀
  3. Qin / ε₀
  4. None of these

Correct answer: Qin / ε₀

Solution

According to Gauss's law, the net electric flux through a closed surface depends only on the total charge enclosed within the surface and is given by Qin/ε₀. Changing the radius of the surface does not affect the enclosed charge or the flux.

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