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AP EAMCET · PHYSICS · Electrostatics

In the figure, the value of \(Q\) so that the electrostatic potential energy of the system becomes zero is

  1. A \(\frac{\mathrm{q}}{\sqrt{2}}\)
  2. B \(\frac{-2 q}{2+\sqrt{2}}\)
  3. C \(\frac{2 q}{2-\sqrt{2}}\)
  4. D \(\sqrt{2} \mathrm{q}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{2 q}{2-\sqrt{2}}\)

Step-by-step Solution

Detailed explanation

We have \(\mathrm{U}_{\text {System }}=\mathrm{K}\left[\frac{-\mathrm{q} \cdot \mathrm{q}}{\mathrm{x}}+\frac{\mathrm{qQ}}{\mathrm{x}}+\frac{-\mathrm{qQ}}{\sqrt{2} \mathrm{x}}\right]\)…