Final answer:
The radiant energy intensity (I) can be computed using Wien's law for different temperature conditions: T₁ > T₂, T₁ < T₂, T₁ = T₂, and T₁ = 2 * T₂.
Step-by-step explanation:
Using Wien's law, we can compute the radiant energy intensity (I) for different conditions:
a) When T₁ > T₂, the intensity will be higher for T₁ compared to T₂. As temperature increases, the peak of the blackbody radiation curve shifts to shorter wavelengths, resulting in higher intensity.
b) When T₁ < T₂, the intensity will be lower for T₁ compared to T₂. As temperature decreases, the peak of the blackbody radiation curve shifts to longer wavelengths, resulting in lower intensity.
c) When T₁ = T₂, the intensities will be the same for both T₁ and T₂. The peak of the blackbody radiation curve occurs at the same wavelength, resulting in equal intensity.
d) When T₁ = 2 * T₂, the intensity will be higher for T₁ compared to T₂. As temperature increases, the peak of the blackbody radiation curve shifts to shorter wavelengths, resulting in higher intensity.