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Statement-I : In a given situation of arrangement of charges, an extra charge is placed outside the Gaussion surface. In the Gauss Theorem ( E ~d ~s = Q_ in ₀ ) ( Q _ in ) remains unchanged where as electric field ( E ) at the site of the element is changed. Statement-II : Electric field ( E ) at any point on the Gaussian surface is due to inside charge only.

Options

  1. AStatement-I is true, statement-II is true and statement-II is correct explanation for statement-I.
  2. BStatement-I is true, statement-II is true and statement-II is NOT the correct explanation for statement-I.
  3. CStatement-I is true, statement-II is false.
  4. DStatement-I is false, statement-II is true.

Correct answer

B. Statement-I is true, statement-II is true and statement-II is NOT the correct explanation for statement-I.

Step-by-step solution

- Statement-I: This is true. When an extra charge is placed outside the Gaussian surface, the total charge enclosed (Q_ in ) within the surface remains unchanged, as Gauss's Law only considers the charge inside the Gaussian surface. However, the electric field ( E ) at points on the Gaussian surface may still change due to the influence of the external charge, as the electric field depends on all charges, both inside and outside. - Statement-II: This is also true but refers to a different aspect of Gauss's law. The

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