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Question: Answered & Verified by Expert
Unit of Stefan's constant is:
PhysicsThermal Properties of MatterNEETNEET 2002
Options:
  • A $\mathrm{Wm}^2 \mathrm{~K}^4$
  • B $\mathrm{Wm}^2 \mathrm{~K}^{-4}$
  • C $\mathrm{Wm}^{-2} \mathrm{~K}^{-1}$
  • D $\mathrm{Wm}^{-2} \mathrm{~K}^{-4}$
Solution:
1730 Upvotes Verified Answer
The correct answer is: $\mathrm{Wm}^{-2} \mathrm{~K}^{-4}$
Stefan's law is \(E=\sigma\left(T^4\right)\)
\(\begin{aligned}
& \Rightarrow \sigma=\frac{E}{T^4} \\
& \text {where, } E=\frac{\text { Energy }}{\text { Area } \times \text { Time }}=\frac{\text { Watt }}{m^2} \\
& \sigma=\frac{\text { Watt }-m^2}{k^4}=\text { Watt }-m^{-2} k^{-4}
\end{aligned}\)

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