A) what is the temperature if the peak of a blackbody spectrum isat 18nm? b) what is the wavelength at the peak of a blackbodyspectrum if the body is at a temperature of 2000k?

(a)

The problem can be solved by using the Wien's displacement law, which states that the peak wavelength of a blackbody spectrum is inversely proportional to the absolute temperature of the blackbody:

where in this case we have

is the peak wavelength

is the Wien's displacement constant

Solving the formula for T, we find the temperature of the body:

(b)

As before, the problem can be solved by using Wien's displacement law:

where in this case we have

is the peak wavelength

is the Wien's displacement constant

Solving the formula for , we find the peak wavelength:

causes

fossil fuels burn

cities become more industrialized

human population grows worldwide