Question

What are the dimensions of $K=\frac{1}{4\pi {ϵ}_0}?$ (Given, N is the unit of force, with dimensions $ML{T}^{-2}$)

• A. $C^2{N}^{-1}{M}^{-2}$
• B. ${NM}^2{C}^{-2}$
• C. ${NM}^2{C}^2$
• D. Unitless

Answer 1

Answer: (B)

${NM}^2{C}^{-2}$

$F=\frac{K{Q}^2}{R^2}$

$K=\frac{F{R}^2}{Q^2}=\frac{N{M}^2}{C^2}$
Hence, option B is correct.