Dimensional formula of Stefan-Boltzmann constant σ (P = σAT⁴):
AMT⁻³K⁻⁴ (= power/(area × T⁴) = MT⁻³/K⁴)
BM
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DML
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.
We have So [σ] = MT⁻³/K⁴.
So So [σ] = MT⁻³K⁻⁴.
**SI value:** 5.67 × 10⁻⁸ W m⁻² K⁻⁴.
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