In modern physics, as it was called "Stefan-Boltzmann law", the total energy radiated per unit surface area of a black body is directly proportional to the fourth power of the black body's temperature T
as:
[tex]P\alpha T^4[/tex]
where: P is the power (total energy radiated per second per square meter) and T is the temperature of a black body.
then we can make a ratio between the state of before quadruple (with subscript 1) and after (with subscript 2) as:
[tex]\frac{P_{1} }{P_{2} } =\frac{T_{1}^4 }{T_{2}^4}[/tex]
As
[tex]T_{2}=4T_{1}[/tex]
Then
[tex]\frac{P_{1} }{P_{2} } =\frac{T_{1}^4 }{(4T_{1})^4}[/tex]
then
[tex]P_{2}=256*P_{1} [/tex]
