Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 38, Problem 8Q
To determine
To find:
The rank of target particles according to their mass, greatest first.
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19. An electron (mass m) with initial velocity i = voi + voj is in an electric field
É = -E,k. If 1o is initial de-Broglie wavelength of electron, its de-Broglie
wavelength at time t is given by
do
a. A =
1+
m2 t?
b. A=
1+
t2
m²u
λο
c. A =
1+
t2
2m² v
do
d. A =
2+
The distance between atoms in a crystal of NaCl is 418.5 nm. The crystal is being studied in a neutron diffraction experiment. At what speed (in m/s) must the neutrons be moving so that their de Broglie wavelength is the same length as the spacing between the atoms? (Assume the neutrons are non-relativistic.)
1.
8 Compton scattering. Figure 38-22
gives the Compton shift AA versus
scattering angle o for three different
stationary target particles. Rank the
particles according to their mass,
greatest first.
2.
Figure 38-22 Question 8.
Chapter 38 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
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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.arrow_forwardWhat is the velocity of an electron with a deBroglie wavelength of 2.74 um ? Give your answer in m/s with no decimal places please.arrow_forwardX 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?arrow_forward
- Electrons with a speed of 2.0 x 106 m/s pass through a double-slit apparatus. Interference fringes are detected with a fringe spacing of 1.5 mm.a. What will the fringe spacing be if the electrons are replaced by neutrons with the same speed?b. What speed must neutrons have to produce interference fringes with a fringe spacing of 1.5 mm?arrow_forwardX-ray with wavelength 0.2 nm are scattered from a carbon block. The scattered radiation is viewed at 600 to the direction of the incident beam. What is the Compton shift?arrow_forwardElectrons with a speed of 2.6 x 106 m/s pass through a double-slit apparatus. Interference fringes are detected with a fringe spacing of 5.8 mm. What will the fringe spacing be if the electrons are replaced by neutrons with the same speed? What speed must neutrons have to produce interference fringes with a fringe spacing of 5.8 mm?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_forwardIn 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_forwarda. X ray are produced in a tube operating at 20.0 kV strikes a target and Compton- scattered through an angle of 90.0° What is the wavelength shift, AA. b. A beam of protons with have the same energy scatters from atoms that have a spacing of 0.150 nm in the crystal. The m- 2 intensity maximum occurs when the angle is 30.0°. Calculate the kinetic energy (in eV) of each beam.arrow_forward
- What is the maximum amount by which the wavelength of an incident photon could change when it undergoes Compton scattering from an atom or molecule with a 44.0 u mass? (1 u = 1.66 × 10-27 kg). Number i Unitsarrow_forwardFor a free electron, determine the electron's de broglie wavelength, momentum, kinetic energy and speed when k = 50 nm-1.arrow_forwardX-rays strike a stationary target and undergo Compton scattering. If the energies of the incident and scattered X-ray are 587 kev and 300 kev respectively, determine the scattering angle (in degrees). Additional Materials | Readingarrow_forward
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