Which of the following pairs of physical quan | vedclass

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(C) To determine which pair does not have the same dimensional formula,we analyze each option:$1$. Work $(W = F \cdot d)$ and Torque $(	au = r 	imes

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Tension and Surface tension

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(C) To determine which pair does not have the same dimensional formula,we analyze each option:$1$. Work $(W = F \cdot d)$ and Torque $(	au = r 	imes F)$ both have the dimensional formula $[ML^2T^{-2}]$.$2$. Angular momentum $(L = mvr)$ and Planck's constant $(h = E/f)$ both have the dimensional formula $[ML^2T^{-1}]$.$3$. Tension is a force,so its dimensional formula is $[MLT^{-2}]$. Surface tension is force per unit length,so its dimensional formula is $[MT^{-2}]$. These are not the same.$4$. Impulse $(J = F \cdot \Delta t)$ and Linear momentum $(p = mv)$ both have the dimensional formula $[MLT^{-1}]$.Therefore,the pair that does not have the same dimensional formula is Tension and Surface tension.

List-$I$	List-$II$
$A$. Spring constant	$I$. $ML^2 T^{-2} K^{-1}$
$B$. Thermal conductivity	$II$. $ML^0 T^{-2}$
$C$. Boltzmann constant	$III$. $ML^2 T^{-3} A^{-2}$
$D$. Inductive reactance	$IV$. $MLT^{-3} K^{-1}$

Which of the following pairs of physical quantities does not have the same dimensional formula?

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