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

A charge q is situated at the centre of the open end of a cylindrical vessel, as shown in the figure. The electric flux through the surface of the vessel is

Options

  1. A2q ₀
  2. Bzero
  3. Cq ₀
  4. Dq 2 ₀

Correct answer

D. q 2 ₀

Step-by-step solution

According to Gauss's law, the total electric flux through a closed surface enclosing a charge q is q ₀ . The given cylindrical vessel is open at one end, and the charge q is placed at the centre of this open end. To apply Gauss's law, we can construct a symmetrical closed surface by imagining an identical inverted cylindrical vessel placed over the open end. The charge q is now enclosed at the centre of this combined closed cylindrical surface. The total flux through this closed surface is _ total = q ₀ . Due to sy

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