Question

Dimensional formula for coefficient of thermal conductivity is (in $W{m}^{-1}{K}^{-1}$) is

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

Answer 1

Answer: (B)

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