Question

Which of the following units denotes the dimensions $M{L}^2/Q^2$, where $Q$ denotes the electric charge?

• A. $Weber$ ($Wb$)
• B. $Wb$$/m^2$
• C. $Henry$ ($H$)
• D. $H/m^2$

Answer 1

The correct option is C $Henry$ ($H$)

Weber $=M{L}^2{T}^{-2}{I}^{-1}$
$=M{L}^2{T}^{-2}{Q}^{-1}T=M{L}^2{T}^{-1}{Q}^{-1}$ ($I=Q{T}^{-1}$)
Henry H is SI unit of inductance.
$H=M{L}^2{T}^{-2}{I}^{-2}$ also $I=Q{T}^{-1}$
so $H=M{L}^2{T}^{-2}{Q}^{-2}{T}^2=M{L}^2{Q}^{-2}$