Q. The dimensional formula of capacitance in terms of $M,L,T$ and $I$ is
A) [$ML^{2}T^{2}I^{2}$]
B) [$ML^{- 2}T^{4}I^{2}$]
C) [$M^{- 1}L^{3}T^{3}I$]
D) [$M^{- 1}L^{- 2}T^{4}I^{2}$]
Explanation
Capacitances $C = \frac{Q}{V} = \frac{QQ}{W} = \frac{Q^{2}}{W} = \frac{I^{2}t^{2}}{W},$ $\lbrack C\rbrack = \frac{\lbrack I^{2}T^{2}\rbrack}{\lbrack ML^{2}T^{- 2}\rbrack} = \lbrack M^{- 1}L^{- 2}T^{4}I^{2}\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.