According to Coulomb's Law, if the distance between two point charges is doubled, what happens to the electrostatic force between them?

Answer and explanation

Correct answer: D. It decreases to 1/4 of its initial value

  1. Step 1: Coulomb's Law states that electrostatic force is inversely proportional to the square of separation: F proportional to 1 / r^2.
  2. Step 2: When r is replaced by 2r, the new force becomes F_new = F / (2)^2 = F / 4.
Answer
It decreases to 1/4 of its initial value.
Why not the others: 'It decreases to 1/2 of its initial value' assumes an inverse linear relation 1/r; 'It doubles' assumes direct proportionality; 'It quadruples' assumes direct square proportionality.

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