Which of the following physical quantities has the SI unit kg m s^...

Let us express the given unit in terms of familiar derived SI units:

Given unit: $\text{kg m s}^{-3} \text{K}^{-1}$

We know that the unit of energy (Joule, $\text{J}$) is $\text{kg m}^2 \text{s}^{-2}$.
Multiplying and dividing the given unit by $\text{m}$, we can group the terms as follows:

$(\text{kg m}^2 \text{s}^{-2}) \text{s}^{-1} \text{m}^{-1} \text{K}^{-1}$

Substituting $\text{J}$ for $\text{kg m}^2 \text{s}^{-2}$:

$\text{J s}^{-1} \text{m}^{-1} \text{K}^{-1}$

Since the rate of energy transfer ($\text{J s}^{-1}$) is Watt ($\text{W}$), the unit simplifies to:

$\text{W m}^{-1} \text{K}^{-1}$

This is the standard SI unit for thermal conductivity, which can be verified from the heat conduction equation $H = \dfrac{K A \Delta T}{l}$.

Answer: Thermal conductivity