MCQ
The dimensions of coefficient of thermal conductivity is
- A$M L^2 T^{-2} K^{-1}$
- ✓$M L T^{-3} K^{-1}$
- C$M L T^{-2} K^{-1}$
- D$M L T^{-3} K$
✓
Answer
Correct option: B.
$M L T^{-3} K^{-1}$
(b$\frac{d Q}{d t}=-K A\left(\frac{d \theta}{d x}\right)$
$\Rightarrow[K]=\frac{\left[M L^2 T^{-2}\right]}{[T]} \times \frac{[L]}{\left[L^2\right][K]}=M L T^{-3} K^{-1}$
$\Rightarrow[K]=\frac{\left[M L^2 T^{-2}\right]}{[T]} \times \frac{[L]}{\left[L^2\right][K]}=M L T^{-3} K^{-1}$
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