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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker
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The Cosmic Background Radiation Outer space is filled with

Chapter 30, Problem 4P

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QUESTION:

Problem 4P

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 2.7 K. (a) What is the peak frequency of this radiation? (b) What is the wavelength that corresponds to the peak frequency?

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QUESTION:

Problem 4P

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 2.7 K. (a) What is the peak frequency of this radiation? (b) What is the wavelength that corresponds to the peak frequency?

ANSWER:

Step 1 of 2:-

a)

Here, we have to find the peak frequency of the cosmic background radiation.

The temperature of the black body is,

.

We know that,

We know Wien’s frequency dependent formula for a black body, which is,

.

         

         

         .

So, the peak frequency is .

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