Dust that glows with a peak emission wavelength of 40 $\mu$m has a temperature of
A) 10 K.
B) 72 K.
C) 100 K.
D) 120 K.
E) 1000 K.

Question

Quizplus · Accepted Answer

The peak emission wavelength of dust can be related to its temperature using Wien's Law, which states that the wavelength of peak emission is inversely proportional to the temperature. Using Wien's Law, λ_max = b/T, where b is Wien's constant (approximately 2898 μm·K), we can calculate the temperature as T = b/λ_max. Substituting the given wavelength (40 μm), we find the temperature to be approximately 72 K.

Dust That Glows with a Peak Emission Wavelength of 40 μ\muμ

Dust That Glows with a Peak Emission Wavelength of 40 $\mu$