Question

What is the dimensional formula of thermal conductivity?

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

Answer 1

Answer: (B)

Coefficient of thermal conductivity is
$K=\frac{\Delta Q \times L}{A\left(T_{1}-T_{2}\right) \Delta t}$
Substituting dimensions for corresponding quantities in equation (i), we get $[K]=\frac{\left[ ML ^{2} T ^{-2}\right][ L ]}{\left[ L ^{2}\right][ K ][ T ]}=\left[ MLT ^{-3} K ^{-1}\right]$