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Consider the following statements regarding a system of point charges and electric fields: Statement-I: The electric field due to a point charge decreases as the square of the distance from the charge. Statement-II: The electric potential at a point is the work done in bringing a unit positive charge from infinity to that point without acceleration. Statement-III: The net electric flux through a closed surface depend

Options

  1. AAll four statements are true.
  2. BStatement-I, Statement-II, and Statement-IV are true; Statement-III is false.
  3. CStatement-I, Statement-III, and Statement-IV are true; Statement-II is false.
  4. DStatement-II and Statement-IV are true; Statement-I and Statement-III are false.

Correct answer

A. All four statements are true.

Step-by-step solution

- Statement-I: This is true. The electric field (E ) due to a point charge follows the inverse-square law: (E= k q r^2 ) - Statement-II: This is true. The electric potential at a point in space is defined as the work done per unit charge in moving a positive test charge from infinity to that point in an electric field without any acceleration. - Statement-III: This is true. According to Gauss's Law, the net electric flux through a closed surface is proportional to the charge enclosed within the surface. External ch

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