Out of the following pairs,which one does not | vedclass

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(A) To determine which pair does not have identical dimensions,we analyze the dimensional formulas of each:$1$. Moment of inertia $(I = MR^2)$ has dim

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Moment of inertia and moment of force

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(A) To determine which pair does not have identical dimensions,we analyze the dimensional formulas of each:$1$. Moment of inertia $(I = MR^2)$ has dimensions $[ML^2T^0]$. Moment of force (Torque,$	au = r 	imes F$) has dimensions $[ML^2T^{-2}]$. These are not identical.$2$. Work $(W = F \cdot d)$ has dimensions $[ML^2T^{-2}]$. Torque $(	au = r 	imes F)$ has dimensions $[ML^2T^{-2}]$. These are identical.$3$. Angular momentum $(L = mvr)$ has dimensions $[ML^2T^{-1}]$. Planck's constant $(h = E/f)$ has dimensions $[ML^2T^{-1}]$. These are identical.$4$. Impulse $(J = F \Delta t)$ has dimensions $[MLT^{-1}]$. Momentum $(p = mv)$ has dimensions $[MLT^{-1}]$. These are identical.Therefore,the pair that does not have identical dimensions is Moment of inertia and moment of force.

Out of the following pairs,which one does not have identical dimensions?

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