The cosmic background radiation outer space is filled with a sea of photons, created in the early moments of the universe. the frequency distribution of this "cosmic background radiation" matches that of a blackbody at a temperature near 2.7k. what is the peak frequency of this radiation in hz? what is the wavelength that corresponds to the peak frequency in mm?

A) Peak wavelength: 1.07 mm

The peak wavelength of the Cosmic Background Radiation can be found by using Wien's displacement law:

where

is the peak wavelength

is Wien's displacement constant

T is the absolute temperature

For the Cosmic Background Radiation,

T = 2.7 K

So the peak wavelength is

B) Peak frequency:

The peak frequency can be found by using the relationship:

where

is the speed of light

is the peak wavelength

Substituting numbers, we find

see earlier answer