Concept explainers
(a)
Find the minimum photon energy required.
(a)
Answer to Problem 70CP
The minimum photon energy required is
Explanation of Solution
Given decay reaction is,
From energy conservation,
Here,
From momentum conservation,
Combine equation I and II,
Conclusion:
Substitute
Substitute
Therefore, the minimum photon energy required is
(b)
Find the wavelength of the photon at the peak of blackbody spectrum.
(b)
Answer to Problem 70CP
The wavelength of the photon at the peak of blackbody spectrum is
Explanation of Solution
Write the equation for peak wavelength.
Here,
Conclusion:
Substitute
Therefore, the wavelength of the photon at the peak of blackbody spectrum is
(c)
Find the energy of the photon.
(c)
Answer to Problem 70CP
The energy of the photon is
Explanation of Solution
Write the equation for energy.
Here,
Conclusion:
Substitute
Therefore, the energy of the photon is
(d)
Find the energy of the photon with reference to Earth reference frame.
(d)
Answer to Problem 70CP
The energy of the photon with reference to Earth reference frame is
Explanation of Solution
In the primed reference frame, the proton is moving to the right at
The photon moving to the left with
In the unprimed frame,
From the Doppler effect equation the speed of primed frame is,
Conclusion:
Then, the speed of proton is,
Then the energy of proton is,
Therefore, the energy of the photon with reference to Earth reference frame is
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Chapter 46 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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