The dimensional formula of a physical quantity is $M^{1} L^{2} T^{3} I^{- 1}$ .What is its SI unit?

{k g m}^{2} s^{3} A^{- 1}

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{k g m}^{2} s^{2} A

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{k g m s}^{- 3} A^{2}

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{k g}^{2} m^{2} s^{3} A^{- 1}

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Solution

The correct option is A ${k g m}^{2} s^{3} A^{- 1}$
SI unit of $M$ is $k g$ , that of $L$ is $m$ , $T$ is $s$ and $I$ is $A$ .
So, SI unit of $[M^{1} L^{2} T^{3} I^{- 1}]$ is $k g m^{2} s^{3} A^{- 1}$ .

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