Question

The cosmic microwave background has been measured to be a nearly perfect blackbody spectrum with a temperature of 2.725K. This corresponds to a peak in the blackbody spectrum at a wavelength of 1.06 mm, which is in the microwave region of the electromagnetic spectrum. The microwaves we observe now were created approximately 380,000 years after the Big Bang when the temperature of the universe was about 3200 K. What was the wavelength of the peak of the blackbody spectrum at that time? Based on the information in the previous problem, at what redshift value z was the CMB created (as determined by people on Earth in the present day)?

          The cosmic microwave background has been measured to be a nearly
perfect blackbody spectrum with a temperature of 2.725K. This
corresponds to a peak in the blackbody spectrum at a wavelength of
1.06 mm, which is in the microwave region of the electromagnetic
spectrum. The microwaves we observe now were created approximately
380,000 years after the Big Bang when the temperature of the
universe was about 3200 K. What was the wavelength of the peak of
the blackbody spectrum at that time?
Based on the information in the previous problem, at what
redshift value z was the CMB created (as determined by people on
Earth in the present day)?

Added by Nicholas R.

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