   Chapter 34, Problem 14PE

Chapter
Section
Textbook Problem

The peak intensity of the CMBR occurs at a wavelength of 1.1 mm. (a) What is the energy in eV at a 1.1−mm photon? (b) There are approximately 109 photons for each massive particle in deep space. Calculate the energy of 109 such photons. (c) If the average massive particle in space has a mass half that of a proton, what energy would be created by convening its mass to enemy? (d) Does this imply that space is “matter dominated”? Explain briefly.

To determine

(a)

The energy in eV of a 1.1-mm photon.

Explanation

Given:

Wavelength = 1.1 mm

Formula used:

E = hc/λ

E = Energy in eV

h = Planck's constant = 6.626 x 10-34 J·s

c=3 x 108 m/sec

E = mc2

Calculation:

E = hc/λ = (6.626 x 10-34 J·s) x (3 x 108 m/sec)/(1

To determine

(b)

The energy of 109photons.

To determine

(c)

The energy that is created by converting its mass to energy.

To determine

(d)

Whether this imply that space is matter dominated or not.

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