The spectrum from a black body radiation is a
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Stefan Boltzmann law:
According to the Boltzmann law, the amount of radiation emitted per unit area of the black body at absolute temperature is directly proportional to the fourth power of the temperature.
$E = \sigma T^{4}$
Where T is the temperature
$E$ is the energy
$\bar{\sigma}$ is the Stefan Boltzmann constant
$\bar{\sigma}$ has the value of $5.6704 \times 10^{5} \mathrm{J} \mathrm{cm}^{-2} \mathrm{s}^{-1} \mathrm{K}^{-4}$
The graph given here is plotted between temperature and energy. It is clear that from the graph if the temperature increases the energy also increases.

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