Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 3, Problem 34P
To determine
The energy of x-ray photon.
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In the Compton scattering, the photon of energy 9,2 MeV is scattered from a free electron of mass 9.1×10−319.1×10−31 kg, What is the kinetic energy acquired by the electron (in MeV), if the scattering angle is 15∘15∘?
Show that the maximum kinetic energy E, called the Compton edge, that a recoiling electron can carry away
from a Compton scattering event is given by
hf
E
(1+ mc /2hf)
where f is the frequency of the incident photon and m is the electron mass.
In the Compton scattering, the photon of energy 8,4 MeV is scattered from a free electron of mass 9.1×10−319.1×10−31 kg, What is the recoil angle of the electron, if the scattering angle is 52∘52∘?
Chapter 3 Solutions
Modern Physics
Ch. 3.2 - Calculate the quantum number, n, for this pendulum...Ch. 3.2 - An object of mass m on a spring of stiffness k...Ch. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8Q
Ch. 3 - Prob. 9QCh. 3 - Prob. 10QCh. 3 - Prob. 11QCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - As a single crystal is rotated in an x-ray...Ch. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48P
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- In the Compton scattering, the photon of energy 8.7 MeV is scattered from a free electron of mass 9.1 × 10 31 the electron (in MeV), if the scattering angle is 164°? kg, What is the kinetic energy acquired by Answer:arrow_forwardWhat speed must an electron have if its momentum is to be the same as that of an X-ray photon with a wavelength of 0.35 nm?arrow_forwardA particle has a de Broglie wavelength of 2.80×10−102.80×10−10 m. Then its kinetic energy doubles. What is the particle's new de Broglie wavelength, assuming that relativistic effects can be ignored?arrow_forward
- X-ray photons of wavelength 0.0248 nm are incident on a target and the Compton-scattered photons are observed at 80.0° above the photons' incident line of travel. [Use relativistic units for this problem!](a) What is the momentum of the incident photons? eV/c(b) What is the momentum (magnitude and angle) of the scattered electrons? eV/c°magnitude=61802.35 angel=?arrow_forwardA photon with wavelength X scatters off an electron at rest, at an angle with the incident direction. The Compton wavelength of the electron Ac = 0.0024 nm. a) For λ = 0.0006 nm and 0 = 53 degrees, find the wavelength X' of the scattered photon in nanometres. b) Obtain a formula for the energy of the electron Ee after collision, in terms of the universal constants h, c and the variables X, X' and Ac. The answer must be expressed in terms of these variables only. (Please enter an algebraic expression using latex format; do not input any numerical values) c) Using the energy conservation condition, find the value of the electron energy Ee after scattering in units of keV. d) Write an algebraic expression for the electron's momentum pe in terms of its energy Ee, its mass me and the speed of light c. e) What is the de Broglie wavelength of the scattered electron ? Express your answer in terms of Ee, me, and X and c. f) Find the value of the de Broglie wavelength of the scattered electron…arrow_forwardIn some scattering experiments, the speed of the particles is tuned so that their de Broglie wavelength has a specific value. If a wavelength of 0.117 nm is required, how fast must a neutron be traveling to achieve this wavelength?arrow_forward
- A photon of frequency v is scattered by an electron initially at rest. Verify that the maximum kinetic energy of the recoil electron is KEmax = (2h² v/mc²)/(1 + 2 hv/mc²).arrow_forwardIn the Compton scattering, the photon of energy 8.4 MeV is scattered from a free electron of mass 9.1 x 10 -31 kg, What is the recoil angle of the electron, if the scattering angle is 52°? Answer:arrow_forwardThe high-energy photons can undergo Compton scattering off electrons in the tumor. The energy imparted by a photon is a maximum when the photon scatters straight back from the electron. In this process, what is the maximum energy that a photon with the energy described in the passage can give to an electron? (a) 3.8 MeV; (b) 2.0 MeV; (c) 0.40 MeV; (d) 0.23 MeV.arrow_forward
- Show that the maximum kinetic energy of the recoil electron in Compton scattering is given by 2hf mc² K. E.max (electron) = hf · 2hf 1+ mc² At what angles and does this occur? If we detect a scattered electron at angle = 0° of 100 keV, what energy photon was scattered?arrow_forwardA nonrelativistic particle of mass m and charge q is accelerated from rest through a potential difference Δ V (a) Use conservation of energy to find a symbolic expression for the momentum of the particle in terms of m , q, and ΔV (b) Write a symbolic expression for the de Broglie wavelength using the result of part (a). (c) If an electron and proton go through the same potential difference but in opposite directions, which particle will have the shorter wavelength?arrow_forwardThe de-Broglie wavelength of a particle having kinetic energy E is 2. How much extra energy must be given to this particle so that the de-Broglie wavelength reduces to 75% of the initial value ?arrow_forward
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