Question

Cosmology Use Wien's law (see Problem 37) to answer the following questions: (a) The cosmic background radiation peaks in intensity at a wavelength of 1.1 $\mathrm{mm}$ . To what temperature does this correspond? (b) About 379000 $\mathrm{y}$ after the big bang, the universe became transparent to electromagnetic radiation. Its temperature then was 2970 $\mathrm{K} .$ What was the wavelength at which the background radiation was then most intense?

          Cosmology
Use Wien's law (see Problem 37) to answer the following questions: (a) The cosmic background radiation peaks in intensity at a wavelength of 1.1 $\mathrm{mm}$ . To what temperature does this correspond? (b) About 379000 $\mathrm{y}$ after the big bang, the universe became transparent to electromagnetic radiation. Its temperature then was 2970 $\mathrm{K} .$ What was the wavelength at which the background radiation was then most intense?

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University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

12/03/2021

Step 1

1 mm. Given: Wavelength (λ) = 1.1 mm = 1.1 x 10^-3 m Using Wien's Law: λ_peak = 2.898 x 10^-3 m * (1 / T) 1.1 x 10^-3 m = 2.898 x 10^-3 m * (1 / T) T = 2.898 / 1.1 = 2.63 K Show more…

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Cosmology Use Wien's law (see Problem 37) to answer the following questions: (a) The cosmic background radiation peaks in intensity at a wavelength of 1.1 $\mathrm{mm}$ . To what temperature does this correspond? (b) About 379000 $\mathrm{y}$ after the big bang, the universe became transparent to electromagnetic radiation. Its temperature then was 2970 $\mathrm{K} .$ What was the wavelength at which the background radiation was then most intense?