Q. The dimensional formula of coefficient of permittivity for free space ($\varepsilon_{0}$) in the equation $F = \frac{1}{4\pi\varepsilon_{0}}\frac{q_{1}q_{2}}{r^{2}},$ where symbols have their usual meanings, is
A) $\lbrack ML^{3}A^{- 2}T^{- 4}\rbrack$
B) $\lbrack M^{- 1}L^{- 3}T^{4}A^{2}\rbrack$
C) $\lbrack M^{- 1}L^{- 3}A^{- 2}T^{- 4}\rbrack$
D) $\lbrack ML^{3}A^{2}T^{- 4}\rbrack$
Explanation
$\left\lbrack \varepsilon_{0} \right\rbrack = \frac{\lbrack A^{2}T^{2}\rbrack}{\lbrack ML^{3}T^{- 2}\rbrack} = \lbrack M^{- 1}L^{- 3}T^{4}A^{2}\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.