Answer:
I₂ = 3.16 I₁
Explanation:
A blackbody is a substance that absorbs radiation of all wavelengths and radiates in a continuous spectrum at all wavelengths. It is given the name blackbody because an object that absorbs light at all wavelengths appears black to the human eye.
The total intensity I (the average rate of radiation of energy per unit surface area) emitted from a blackbody was shown to be proportional to the fourth power of its temperature:
I = бT⁴.
This is called the Stefan-Boltzmann law for a blackbody. The constant of proportionality sigma is known as the Stefan-Boltzmann constant.
So, I is directly proportional to T⁴
∴ I₂/I₁ = T⁴₂/T⁴₁
=400⁴/300⁴ = 3.16
So, I₂ = 3.16 I₁
