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  4. Which of the following quantities can have SI unit kgm2A- 2s- 3 ?

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Q. Which of the following quantities can have SI unit $kgm^{2}A^{- 2}s^{- 3}$ ?

NTA AbhyasNTA Abhyas 2022

Solution:

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