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Question: The unit of Stefan's constant \(\sigma\) is...

The unit of Stefan's constant σ\sigma is

A

Wm−2K−1Wm^{- 2}K^{- 1}

B

Wm2K−4Wm^{2}K^{- 4}

C

Wm−2K−4Wm^{- 2}K^{- 4}

D

Wm−2K4Wm^{- 2}K^{4}

Answer

Wm−2K−4Wm^{- 2}K^{- 4}

Explanation

Solution

Stefan's law is E=σ(T4)E = \sigma(T^{4}) ⇒ σ=ET4\sigma = \frac{E}{T^{4}}

where,E=E = EnergyArea×Time\frac{\text{Energy}}{\text{Area} \times \text{Time}} =Wattm2= \frac{\text{Watt}}{m^{2}}

σ=Watt-m−2K4=Watt−m−2K−4\sigma = \frac{\text{Watt-}m^{- 2}}{K^{4}} = Watt - m^{- 2}K^{- 4}