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Physics · UNITS AND MEASUREMENT
हिन्दीThe dimensional formula of Stefan-Boltzmann constant \( \sigma \) in the equation \( E = \sigma T^4 A t \) (where \( E \) is energy, \( T \) is absolute temperature, \( A \) is area, and \( t \) is time) is:
Correct answer · Option 1
\( [\text{M L}^0 \text{T}^{-3} \text{K}^{-4}] \)
Explanation
\( [\sigma] = \frac{[E]}{[A][t][T^4]} = \frac{[\text{M L}^2 \text{T}^{-2}]}{[\text{L}^2][\text{T}][\text{K}^4]} = [\text{M L}^0 \text{T}^{-3} \text{K}^{-4}] \).
