Q. Dimensional formula of capacitance (or farad) is
A) $M^{- 1}L^{- 2}T^{4}A^{2}$
B) $ML^{2}T^{4}A^{- 2}$
C) $MLT^{- 4}A^{2}$
D) $M^{- 1}L^{- 2}T^{- 4}A^{- 2}$
Explanation
$\lbrack C\rbrack = \ \left( \frac{Q}{V} \right) = \left( \begin{array}{r} \frac{Q^{2}}{W} \\ \ \end{array} \right) = \left\lbrack \begin{array}{r} \frac{A^{2}T^{2}}{ML^{2}T^{- 2}} \\ \ \end{array} \right\rbrack = \lbrack M^{- 1}L^{- 2}T^{4}A^{2}\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.