Question

Dimensional formula for coefficient of thermal conductivity is (in $Wm^{-1}\, K^{-1}$) is

• A. $ML^{-1}T^{-3}K$
• B. $MLT^{-3} K^{-1}$
• C. $ML^2T^2 K^{-1}$
• D. $M^2LT^{-3}K^{-1}$

Answer 1

Answer: (B)

Coefficient of thermal conductivity
$=\frac{\text{Heat energy $\times$ Length}}{\text{Area $\times$ (temperature difference)$\times$ time}}$
$=\frac{\left[ML^{2}T^{-2}\right]\left[L\right]}{\left[L^{2}\right]\left[K\right]\left[T\right]}$
$=MLT^{-3} \, K^{-1}$