Stefan's constant has the unit as :

J S^{- 1} m^{- 2} k^{4}

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K g s^{- 3} k^{4}

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W m^{- 2} k^{- 4}

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N . m . s^{- 2} k^{- 4}

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Solution

The correct option is C $W m^{- 2} k^{- 4}$
For a perfect black body, the energy radiated per unit area per unit time is given by, $E = σ T^{4}$
where $σ$ is Stefan's constant and $T$ is temperature in Kelvin scale.
We know that energy per unit time is power $(P)$ .
So power radiated per unit area $= \frac{P}{A} = σ T^{4}$
or $σ = \frac{P}{A T^{4}}$
Now substituting the unit of $P, A$ and $T$ as $W, m^{2}$ and $k^{4}$ respectively.
We get the unit of Stefan's constant i.e, $W m^{- 2} k^{- 4}$

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