Question Detail

PHY 102 Test Compilation PHY 102 11 Objective Question

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?
Options
A N·m/C
B N/C
C N·m²/C²
Correct Answer
D N/C²
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.

Question Info