Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 38, Problem 32P
To determine
To find:
a) Compton shift
b) Change in photon energy
c) Kinetic energy
d) Angle
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X rays of wavelength 0.0123 nm are directed in the positive direction of an x axis onto a target containing loosely bound electrons. For Compton scattering from one of
those electrons, at an angle of 156°, what are (a) the Compton shift, (b) the corresponding change in photon energy, (c) the kinetic energy of the recoiling electron,
and (d) the angle between the positive direction of the x axis and the electron's direction of motion? The electron Compton wavelength is 2.43 x 10-12 m.
X rays of wavelength 0.0100 nm are directed in the positive direction of an x axis onto a target containing loosely bound electrons. For Compton scattering from one of those electrons, at an angle of 180°, what are (a) the Compton shift, (b) the corresponding change in photon energy, (c) the kinetic energy of the recoiling electron, and (d) the angle between the positive direction of the x axis and the electron’s direction of motion?
In a Compton scattering experiment, an x-ray photon scatters through an angle of 15.0° from a free electron that is initially at rest. The electron recoils with a speed of 2,200 km/s.
(a) Calculate the wavelength of the incident photon.
nm
(b) Calculate the angle through which the electron scatters.
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Chapter 38 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Prob. 5QCh. 38 - Prob. 6QCh. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10Q
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- A 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_forwardX-rays with a wavelength of 120.0 pm undergo Compton scattering. (a) Find the wavelengths of the photons scattered at angles of 30.0°, 60.0°, 90.0°, 120°, 150°, and 180°. (b) Find the energy of the scattered electron in each case. (c) Which of the scattering angles provides the electron with the greatest energy? Explain whether you could answer this question without doing any calculations.arrow_forwardYou use 0.124 nm x-ray photons in a Compton-scattering experiment. (a) At what angle is the wavelength of the scattered x rays 1.0% longer than that of the incident x rays? (b) At what angle is it 0.050% longer?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_forwardWhat are (a) the Compton shift Δλ, (b) the fractional Compton shift Δλ/λ, and (c) the change ΔEphoton in photon energy for light of wavelength λ = 590 nm scattering from a free, initially stationary electron if the scattering is at 90° to the direction of the incident beam? What are (d) Δλ, (e) Δλ/λ, and (f) ΔEphoton for 90° scattering for photon energy 50.0 keV (x-ray range)?arrow_forwardAfter a 0.8 mm x-ray photon scatters from a free electron, the electron recoils at 1.4 x 106 m/s. (a) What is the Compton shift in the photon's wavelength? (b) Through what angle is the photon scattered?arrow_forward
- Consider a collision between an x-ray photon of initial energy 42.2 keV and an electron at rest, in which the photon is scattered backward and the electron is knocked forward. (a) What is the energy of the back-scattered photon? (b) What is the kinetic energy of the electron? The electron Compton wavelength is 2.43 x 10-12 m. (a) Number (b) Number i Units Unitsarrow_forwardYou are working in an x-ray laboratory. You have a source of x-rays with a wavelength of 0.115 nm. In the experiment you are performing, you need x-rays with a slightly longer wavelength than this. You decide to use Compton scattering from electrons to increase the wavelength of the x-rays. For theexperiment, you need to determine (a) at what angle x-rays with a wavelength 1.2% larger than those from your source will be scattered. (b) You also need to determine the longest possible wavelength you can achieve with Compton scattering.arrow_forwardIn a Compton scattering experiment, the incident X-rays have a wavelength of 0.2686 nm, and the scattered X-rays have a wavelength of 0.2707 nm. Through what angle θ in the drawing are the X-rays scattered?arrow_forward
- In a Compton scattering experiment, an x-ray photon scatters through an angle of 17.0° from a free electron that is initially at rest. The electron recoils with a speed of 2,120 km/s. (a) Calculate the wavelength of the incident photon. 0.125 Your response differs from the correct answer by more than 10%. Double check your calculations. nm (b) Calculate the angle through which the electron scatters. 53.49 Your response differs from the correct answer by more than 10%. Double check your calculations.arrow_forwardA photon with wavelength I = 0.1050 nm is incident on an electron that is initially at rest. If the photon scatters at an angle of 60.0° from its original direction, what are the magnitude and direction of the linear momentum of the electron just after it collides with the photon?arrow_forwardX-rays are scattered from a target at an angle of 54.9° with respect to the direction of the incident beam. What is the wavelength shift (in m) of the scattered x-rays? What If? For what scattering angle (in degrees) will the wavelength shift of x-rays be exactly double that found in part (a)?arrow_forward
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