Concept explainers
(a)
Wavelength of the Compton scattered photon and the kinetic energy of the scattered electron if the scattering angle is
Answer to Problem 55QAP
Wavelength of the Compton scattered photon is 0.140 nm and the kinetic energy of the scattered electron is 0 if the scattering angle is
Explanation of Solution
Given:
Initial wavelength
Formula used:
According to Compton scattering the change in wavelength of the incident photon is given by
Now the energy of the scattered photon is
Kinetic energy of the scattered electron is given by
Calculation:
For
So,
And using the value of
K = 0.
Conclusion:
So the wavelength of the Compton scattered photon is 0.140 nm and the kinetic energy of the scattered electron is 0
(b)
Wavelength of the Compton scattered photon and the kinetic energy of the scattered electron if the scattering angle is
Answer to Problem 55QAP
Wavelength of the Compton scattered photon is 0.140325 nm and the kinetic energy of the scattered electron is 20.5 eV
Explanation of Solution
Given:
Initial wavelength
Formula used:
According to Compton scattering the change in wavelength of the incident photon is given by
Now the energy of the scattered photon is
Kinetic energy of the scattered electron is given by
Calculation:
For
Now using the values of
[Above we have used 1 nm = 10-9 m and
Conclusion:
So the wavelength of the Compton scattered photon is 0.140325 nm and the kinetic energy of the scattered electron is 20.5 eV.
(c)
Wavelength of the Compton scattered photon and the kinetic energy of the scattered electron if the scattering angle is
Answer to Problem 55QAP
Wavelength of the Compton scattered photon is 0.140712 nm and the kinetic energy of the scattered electron is 44.9 eV
Explanation of Solution
Given:
Initial wavelength
Formula used:
According to Compton scattering the change in wavelength of the incident photon is given by
Now the energy of the scattered photon is
Kinetic energy of the scattered electron is given by,
Calculation:
For
Now using the values of
Conclusion:
Wavelength of the Compton scattered photon is 0.140712 nm and the kinetic energy of the scattered electron is 44.9 eV
(d)
Wavelength of the Compton scattered photon and the kinetic energy of the scattered electron if the scattering angle is
Answer to Problem 55QAP
Wavelength of the Compton scattered photon is 0.141215 nm and the kinetic energy of the scattered electron is 75.32 eV if the scattering angle is
Explanation of Solution
Given:
Initial wavelength
Formula used:
According to Compton scattering the change in wavelength of the incident photon is given by
Now the energy of the scattered photon is
Kinetic energy of the scattered electron is given by,
Calculation:
For
Now using the values of
Conclusion:
Wavelength of the Compton scattered photon is 0.141215 nm and the kinetic energy of the scattered electron is 75.32 eV
(e)
Wavelength of the Compton scattered photon and the kinetic energy of the scattered electron if the scattering angle is
Answer to Problem 55QAP
Wavelength of the Compton scattered photon is 0.14243 nm and the kinetic energy of the scattered electron is 151.32 eV
Explanation of Solution
Given:
Initial wavelength
Formula used:
According to Compton scattering the change in wavelength of the incident photon is given by
Now the energy of the scattered photon is
Kinetic energy of the scattered electron is given by,
Calculation:
For θ = 900 using Eq. (1.1)
Now using the values of
Conclusion:
Wavelength of the Compton scattered photon is 0.14243 nm and the kinetic energy of the scattered electron is 151.32 eV.
(f)
Wavelength of the Compton scattered photon and the kinetic energy of the scattered electron if the scattering angle is
Answer to Problem 55QAP
Wavelength of the Compton scattered photon is 0.14486 nm and the kinetic energy of the scattered electron is 297.43 eV
Explanation of Solution
Given:
Initial wavelength
Formula used:
According to Compton scattering the change in wavelength of the incident photon is given by
Now the energy of the scattered photon is
Kinetic energy of the scattered electron is given by,
Calculation:
For θ = 1800 using Eq. (1.1)
Now using the values of
Conclusion:
Wavelength of the Compton scattered photon is 0.14486 nm and the kinetic energy of the scattered electron is 297.43 eV
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Chapter 26 Solutions
COLLEGE PHYSICS,VOLUME 1
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