Which of the following groups has different dimensions?

Read each statement below carefully and state,with reasons and examples,if it is true or false:
$A$ scalar quantity is one that
$(a)$ is conserved in a process
$(b)$ can never take negative values
$(c)$ must be dimensionless
$(d)$ does not vary from one point to another in space
$(e)$ has the same value for observers with different orientations of axes.

Units for constants in Column-$I$ and $SI$ unit is given in Column-$II$. Match the followings:

Column-$I$	Column-$II$
$(a)$ Wien's constant	$(i)$ $W m^{-2} K^{-4}$
$(b)$ Stefan-Boltzmann's constant	$(ii)$ $W m^{-1} K^{4}$
	$(iii)$ $m K$

If $R$,$X_L$,and $X_C$ represent resistance,inductive reactance,and capacitive reactance respectively,then which of the following is dimensionless?

State whether the following statements are true or false:
$(a)$ $A$ dimensionally incorrect equation can be correct.
$(b)$ $1 \ AU = 9.46 \times 10^{15} \ m$
$(c)$ The dimensional formula of force and stress are the same.
$(d)$ The dimensions of a physical quantity are different in different systems of units.

Match List-$I$ with List-$II$ and choose the correct answer from the options given below:

List-$I$	List-$II$
$A$. Boltzmann constant	$I$. $[M^{-1}L^3T^{-2}]$
$B$. Stefan's constant	$II$. $[ML^2T^{-1}]$
$C$. Planck's constant	$III$. $[ML^2T^{-2}K^{-1}]$
$D$. Gravitational constant	$IV$. $[ML^0T^{-3}K^{-4}]$