Question

Which of the following quantities can have SI unit $kg{m}^2{A}^{-2}{s}^{-3}$ ?

• A. Inductance
• B. Capacitance
• C. Resistance
• D. Magnetic flux

Answer 1

Answer: (C)

Unit of Inductance is $Henry$ .
Dimensional formula of $Henry$ is $M{L}^2{T}^{-2}{A}^{-2}$ .
i.e., $1H=1kg{m}^2{s}^{-2}{A}^{-2}$
Unit of capacitance is $Farad$
Dimensional formula of $Farad$ is $M^{-1}{L}^{-2}{T}^4{A}^2$
i.e., $1F=1k{g}^{-1}{m}^{-2}{s}^4{A}^2$
Unit of Resistance is $Ohm$ .
Dimensional formula of $Ohm$ is $M{L}^2{T}^{-3}{A}^{-2}$
i.e., $1\Omega =1kg{m}^2{s}^{-3}{A}^{-2}$ .
Therefore, the given unit represents the unit of Resistance.