Which of the following quantities can be writ | vedclass

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(A) The given unit is $kg \cdot m^2 \cdot A^{-2} \cdot s^{-3}$.The dimensional formula for this unit is $[M L^2 T^{-3} A^{-2}]$.We know that Resistanc

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Resistance

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(A) The given unit is $kg \cdot m^2 \cdot A^{-2} \cdot s^{-3}$.The dimensional formula for this unit is $[M L^2 T^{-3} A^{-2}]$.We know that Resistance $(R)$ is given by $V/I$. The dimensions of potential difference $(V)$ are $[M L^2 T^{-3} A^{-1}]$ and current $(I)$ is $[A]$.Thus,the dimensions of Resistance are $[M L^2 T^{-3} A^{-1}] / [A] = [M L^2 T^{-3} A^{-2}]$.Comparing this with the given unit,we find that it corresponds to Resistance.

List-$I$	List-$II$
$(A)$ Angular momentum	$(I)$ $[ML^2T^{-1}]$
$(B)$ Torque	$(II)$ $[ML^2T^{-2}]$
$(C)$ Stress	$(III)$ $[ML^{-1}T^{-2}]$
$(D)$ Pressure gradient	$(IV)$ $[ML^{-2}T^{-2}]$

Which of the following quantities can be written in $SI$ units as $kg \cdot m^2 \cdot A^{-2} \cdot s^{-3}$?

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Dimensions of stress are

Match List-$I$ with List-$II$.

List-$I$ List-$II$

$(A)$ Angular momentum $(I)$ $[ML^2T^{-1}]$

$(B)$ Torque $(II)$ $[ML^2T^{-2}]$

$(C)$ Stress $(III)$ $[ML^{-1}T^{-2}]$

$(D)$ Pressure gradient $(IV)$ $[ML^{-2}T^{-2}]$

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