A) \[[M{{T}^{-3}}{{K}^{-4}}]\]
B) \[[ML{{T}^{-2}}{{K}^{-4}}]\]
C) \[[M{{L}^{2}}{{T}^{-2}}]\]
D) \[[M{{T}^{-2}}{{L}^{0}}]\]
E) \[[M{{T}^{-4}}{{L}^{0}}]\]
Correct Answer: B
Solution :
By Stefans law, \[E=\sigma {{T}^{4}}\] where\[\sigma \]is the Stefans constant. \[\therefore \] \[\sigma =\frac{E}{{{T}^{4}}}\] or \[[\sigma ]=\frac{[E]}{[{{T}^{4}}]}\frac{[ML{{T}^{-2}}]}{[{{K}^{4}}]}\] \[=[ML{{T}^{-2}}{{K}^{-4}}]\]
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