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Question

The unit of Stefan's constant $$\sigma$$ is

A
$$W\, m^{-2}K^{-1}$$
B
$$W\, m^{-2}K^{4}$$
C
$$W\, m^2K^{-4}$$
D
$$W\, m^{-2}K^{-4}$$
Solution
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Correct option is C. $$W\, m^{-2}K^{-4}$$
Stefan's law is $$E=\sigma (T^4)$$
$$\Rightarrow \sigma =\dfrac{E}{T^4}$$

where,$$E=\dfrac{Energy}{Area \times Time}=\dfrac{Watt}{m^2}$$

$$\sigma =\dfrac{Watt-m^2}{k^4}=Watt-m^{-2}k^{-4}$$

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