Which of the following does not have the dime | vedclass

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(D) The dimension of force is $[MLT^{-2}]$.$A$. Weight is a force $(W = mg)$,so its dimension is $[MLT^{-2}]$.$B$. According to Newton's second law,th

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Work done per unit charge

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(D) The dimension of force is $[MLT^{-2}]$.$A$. Weight is a force $(W = mg)$,so its dimension is $[MLT^{-2}]$.$B$. According to Newton's second law,the rate of change of momentum is equal to force $(F = dp/dt)$,so its dimension is $[MLT^{-2}]$.$C$. Work per unit length is $W/L$. Since $W = F 	imes d$,$W/L = (F 	imes d)/L = F$. Thus,its dimension is $[MLT^{-2}]$.$D$. Work done per unit charge is defined as electric potential $(V = W/q)$. The dimension of potential is $[ML^2T^{-3}A^{-1}]$,which is not equal to the dimension of force.Therefore,the correct option is $D$.

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 does not have the dimensions of force?

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