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Dimensional formula of Stefan-Boltzmann constant σ (P = σAT⁴):
AMT⁻³K⁻⁴ (= power/(area × T⁴) = MT⁻³/K⁴)
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Answer & Solution
Correct answer: A. MT⁻³K⁻⁴ (= power/(area × T⁴) = MT⁻³/K⁴)
P/A = σ T⁴. P/A has dim MT⁻³ (power per area = W/m² = J/(s m²)). T⁴ has K⁴. So [σ] = MT⁻³/K⁴ = MT⁻³K⁻⁴. SI value: 5.67 × 10⁻⁸ W m⁻² K⁻⁴.
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