Which of the following physical quantities has the SI unit kg m s ⁻³ K ⁻¹ ?

Step-by-step solution

Let us express the given unit in terms of familiar derived SI units: Given unit: kg m s ⁻³ K ⁻¹ We know that the unit of energy (Joule, J ) is kg m ^2 s ⁻² . Multiplying and dividing the given unit by m , we can group the terms as follows: ( kg m ^2 s ⁻²) s ⁻¹ m ⁻¹ K ⁻¹ Substituting J for kg m ^2 s ⁻² : J s ⁻¹ m ⁻¹ K ⁻¹ Since the rate of energy transfer ( J s ⁻¹ ) is Watt ( W ), the unit simplifies to: W m ⁻¹ K ⁻¹ This is the standard SI unit for thermal conductivity, which can be verified from the heat conduction