Q. Which one of the following is the correct dimensional formula for the capacitance in F ? M, L, T and C stand for unit of mass, length, time and charge,
A) $[F]=[C^2M^{-1}L^{-2}T^2]$
B) $[F]=[C^2M^{-2}L^2T^2]$
C) $[F]=[CM^{-2}L^{-2}T^{-2}]$
D) $[F]=[CM^{-1}L^{-2}T^2]$
Explanation
[Solution by Dr. Abubacker] $F=\frac{\text{charge}}{\text{potential}}=\frac{C}{W/C}=\frac{C^2}{ML^2T^{-2}}=C^2M^{-1}L^{-2}T^2$. Answer (1).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.