Question Detail
Question
The constant k, which appears in Coulomb's law formula (F = k * q1*q2 / r^2), is equivalent dimensionally to which of the following?
Correct Answer
Option C is the correct answer.
Detailed Explanation
Coulomb's law is F = k * q1q2 / r^2. To find the dimensions of k, rearrange the formula: k = F * r^2 / (q1q2).The units are: F (Newtons, N), r (meters, m), q (Coulombs, C).So, the unit of k is N * m² / (C * C) = N·m²/C².
Hint
Isolate the constant 'k' in Coulomb's law formula and then substitute the SI units for each variable.