Would the night sky still be dark with 2mm-sensitive eyes?

UMich1344
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Would the night sky appear dark if our eyes were sensitive to electromagnetic radiation with wavelength around 2 mm? Why or why not?
 
on Phys.org
Thats the peak of the microwave background - so where ever you looked you would be seeing uwave background. Depends how sensitive your uwave eyes are!
Incidently the sky is fairly transparent at 2mm.
 
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