Question

$M^{-1}{L}^{-2}{T}^3{\theta }^1$ are the dimensions of :

• A. coefficient of thermal conductivity
• B. coefficient of viscosity
• C. modulus of rigidity
• D. thermal resistance

Answer 1

The correct option is D thermal resistance

Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow (heat per unit time or thermal resistance).
Hence, the thermal resistance is ratio of temperature difference by power. Dimension of power is $M{L}^2{T}^{-3}$.
Therefore, unit of thermal resistance is $k{g}^{-1}{m}^{-2}{s}^{3}K$
Hence, the dimensional formula is $\left[M^{-1}{L}^{-2}{T}^3{\theta }^1\right]$