In coulomb’s law, what is the SI unit of constant (K)?

Correct option is C

The correct answer is (c) N·m² / C².
In Coulomb’s law, the electrostatic force F between two point charges q1 and q2 separated by a distance r is given by:
F = K * (q1 * q2) / r²
where:
· F is the electrostatic force (in newtons, N),
· K is Coulomb’s constant,
· q1 and q2 are the magnitudes of the charges (in coulombs, C),
· r is the distance between the charges (in meters, m).
To find the units of K, we rearrange the equation as:
K = F * r² / (q1 * q2)
In terms of units:
· F has units of newtons (N),
· r² has units of meters squared (m²),
· q1 and q2 have units of coulombs (C).
So, the units of K are:
K = N * m² / C²
Thus, the SI unit of K is N·m² / C², which corresponds to option (c).