Which one has dimensions different from the remaining three?

Match the List-$I$ with List-$II$. The correct match in the following is:

List-$I$	List-$II$
$A$. Boltzmann constant	$I$. $[ML^0T^0]$
$B$. Coefficient of viscosity	$II$. $[ML^{-1}T^{-1}]$
$C$. Water equivalent	$III$. $[ML^2T^{-2}K^{-1}]$
$D$. Coefficient of thermal conductivity	$IV$. $[MLT^{-3}K^{-1}]$

Give an example of:
$(a)$ a physical quantity which has a unit but no dimensions
$(b)$ a physical quantity which has neither unit nor dimensions
$(c)$ a constant which has a unit
$(d)$ a constant which has no unit

State whether the following statements are true or false:
$(a)$ Weight is a fundamental physical quantity.
$(b)$ $A$ micrometer is used to measure the size of an oleic acid molecule at the molecular level.
$(c)$ The dimensions of a derived quantity obtained from any fundamental quantity can never be zero.

Dimensions of the quantity $\frac{p}{\varepsilon_0 \mu_0}$,where $p$ is the pressure,$\varepsilon_0$ is the electric permittivity of free space,and $\mu_0$ is the permeability of free space,will be:

The dimensional formula of $\sqrt{\mu_r K}$ is equal to: