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Physics · UNITS AND MEASUREMENT

हिन्दी

The 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:

  1. A
    \( [\text{M L}^0 \text{T}^{-3} \text{K}^{-4}] \)
  2. B
    \( [\text{M L}^2 \text{T}^{-3} \text{K}^{-4}] \)
  3. C
    \( [\text{M L} \text{T}^{-2} \text{K}^{-4}] \)
  4. D
    \( [\text{M L}^0 \text{T}^{-2} \text{K}^{-2}] \)
View Answer & Solution

Correct answer · Option A

\( [\text{M L}^0 \text{T}^{-3} \text{K}^{-4}] \)

Explanation

\( [\sigma] = \frac{[E]}{[A][t][T^4]} = \frac{[\text{M L}^2 \text{T}^{-2}]}{[\text{L}^2][\text{T}][\text{K}^4]} = [\text{M L}^0 \text{T}^{-3} \text{K}^{-4}] \).
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