Question

The dimensional formula for coefficient of thermal conductivity is:

• A. $\left[MLTK\right]$
• B. $\left[MLT{K}^{-1}\right]$
• C. $\left[ML{T}^{-1}{K}^{-1}\right]$
• D. $\left[ML{T}^{-3}{k}^{-1}\right]$

Answer 1

The correct option is D $\left[ML{T}^{-3}{k}^{-1}\right]$

The for the coefficient of thermal conductivity is

$K_{th}=\frac{Q\Delta x}{A\Delta Tt}$

Dimensional formula of $K_{th}$

$\left[K_{th}\right]=\frac{\left[Heat\right].\left[length\right]}{\left[Area\right].\left[Temperature\right].\left[time\right]}$

$\left[K_{th}\right]=\frac{\left[M{L}^2{T}^{-2}\right].\left[L\right]}{\left[L^2\right].\left[K\right].\left[T\right]}$

$\left[K_{th}\right]=\left[ML{T}^{-3}{K}^{-1}\right]$

The correct option is D.