Question

A brass plate at room temperature radiates$10W$ of blackbody radiation. If the plate is cooled to $-30°C,$ does the peak of maximum radiated intensity shift toward shorter wavelengths, shift toward longer wavelengths, or remain the same? Explain.

Short answer

The peak of maximum radiated intensity shifts toward longer wavelengths.

Step-by-step solution

Given Information 

We have given as brass plate at room temperature radiates$10W$of blackbody radiation and the plate is cooled to$-30°C$.

Simplify

By Wien's displacement law, the peak of maximum wavelength is inversely proportional to the temperature. Hence, if the temperature, we increase the peak of maximum wavelength so in this case, it shifts towards maximum wavelengths.