Rankers Physics

Thermal Physics: Practice Problem & Solution

Unit of Stefan's constant is: (2002)
$\text{Watt-m}^2\text{-K}^4$
$\text{Watt-m}^2/\text{K}^4$
$\text{Watt}/\text{m}^2\text{-K}$
$\text{Watt}/\text{m}^2\text{K}^4$

Solution Explained:

To solve this problem, we apply the core principles of Thermal Physics. Understanding the underlying formula is key to arriving at the correct answer below:

From Stefan's law, $E = \sigma T^4$. The unit of emissive power $E$ is $\text{J}/(\text{s m}^2)$ or $\text{W}/\text{m}^2$. Therefore, the unit of $\sigma$ is $\text{W}/(\text{m}^2 \text{K}^4)$.

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