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Question

Physics Question on Heat Transfer

The unit of Stefan's constant is

A

Wm−2k−1Wm^{-2}k^{-1}

B

Wmk−4Wmk^{-4}

C

Wm−2k−4Wm^{-2}k^{-4}

D

Nm−2k4Nm^{-2}k^{4}

Answer

Wm−2k−4Wm^{-2}k^{-4}

Explanation

Solution

According to Stefan's law, the energy radiated per second or power radiated is given by
P=σAT4P=\sigma A T^{4}
σ=PAT4\sigma=\frac{P}{A T^{4}}
Therefore, unit of σ=Wm2K4=Wm−2K−4\sigma=\frac{ W }{ m ^{2} K ^{4}}= Wm ^{-2} K ^{-4}