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Concepts Of Physics MCQ Edition [Volume 2]PhysicsGauss's Law

As shown in the figure, a charge q is positioned at the centre of the open end of a cylindrical vessel. The electric flux passing through the surface of the vessel is

Options

  1. A0
  2. Bq ₀
  3. Cq 2 ₀
  4. D2q ₀

Correct answer

C. q 2 ₀

Step-by-step solution

To find the electric flux passing through the surface of the cylindrical vessel, we can use Gauss's law. Imagine placing an identical cylindrical vessel symmetrically over the open end of the given vessel to form a closed Gaussian surface (a complete cylinder). The charge q is now located exactly at the center of this closed cylindrical surface. According to Gauss's law, the total electric flux passing through this entire closed surface is: _ total = q ₀ Due to the symmetry of the configuration, exactly half of the

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