A) C2N-1m-2
B) Nm2C-2
C) Nm2C2
D) Unit less
Correct Answer: B
Solution :
From Coulomb's law two stationary point charges \[{{q}_{1}}\]and \[{{q}_{2}}\]attract or repel each other with a force F which is directly proportional to the product of the charges and inversely proportional to the square of distance between them, i.e., \[F=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{q}_{1}}{{q}_{2}}}{{{r}^{2}}}\] \[\therefore \] \[K=\frac{1}{4\pi {{\varepsilon }_{0}}}=\frac{F{{r}^{2}}}{{{q}^{2}}}\] (if \[{{q}_{1}}={{q}_{2}}=q\]) Hence, unit of \[K=\frac{N{{m}^{2}}}{{{C}^{2}}}\] \[=N{{m}^{2}}{{C}^{-2}}\]
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