The SI unit of a physical quantity is pascal- | vedclass

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Question

(A) The unit given is pascal-second $(Pa \cdot s)$.Pascal $(Pa)$ is the unit of pressure,which is defined as force per unit area: $Pa = \frac{N}{m^2}

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$[ML^{-1}T^{-1}]$

Vedclass · Answer

(A) The unit given is pascal-second $(Pa \cdot s)$.Pascal $(Pa)$ is the unit of pressure,which is defined as force per unit area: $Pa = \frac{N}{m^2} = \frac{kg \cdot m/s^2}{m^2} = kg \cdot m^{-1} \cdot s^{-2}$.Therefore,the unit pascal-second is $(kg \cdot m^{-1} \cdot s^{-2}) \cdot s = kg \cdot m^{-1} \cdot s^{-1}$.The dimensional formula for mass $(kg)$ is $[M]$,for length $(m)$ is $[L]$,and for time $(s)$ is $[T]$.Substituting these into the unit expression,we get $[M][L]^{-1}[T]^{-1} = [ML^{-1}T^{-1}]$.

The $SI$ unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be ..............

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