Question Detail
Question
The constant k, which appears in Coulomb's law formula, is equivalent dimensionally to which of the following?
Correct Answer
Option C is the correct answer.
Detailed Explanation
Coulomb's Law is given by F = k * |q1q2| / r2, where F is force, q1 and q2 are charges, r is distance, and k is Coulomb's constant.To find the dimensional equivalence of k, we rearrange the formula: k = F * r2 / (q1 * q2).Substituting the SI units for each quantity:F (Force) = Newtons (N)r (Distance) = meters (m), so r2 = m2q (Charge) = Coulombs (C), so q1 * q2 = C2Therefore, the units of k are N·m2/C2.
Hint
Rearrange Coulomb's Law (F = k * q1q2 / r^2) to solve for k and then substitute the SI units for force, distance, and charge.