[M L² T⁻¹ K⁻¹]

Here's how we arrive at this:

* M: Mass (kg)

* L: Length (m)

* T: Time (s)

* K: Temperature (Kelvin)

Understanding Thermal Resistance:

Thermal resistance is a measure of how well a material or system resists the flow of heat. It's the inverse of thermal conductance.

Relationship to Heat Flow:

The heat flow (Q) through a material is related to the temperature difference (ΔT) across the material and the thermal resistance (R) by the following equation:

Q = ΔT / R

Derivation of the Dimensional Formula:

* Heat Flow (Q): Energy transferred per unit time [M L² T⁻²]

* Temperature Difference (ΔT): [K]

* Thermal Resistance (R): [ΔT / Q] = [K / (M L² T⁻²)] = [M⁻¹ L⁻² T² K]

Therefore, the dimensional formula for thermal resistance is [M L² T⁻¹ K⁻¹].