Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 34, Problem 65P
To determine
The proof that energy of scattered photon is
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A π0 meson is an unstable particle produced in high-energy particle collisions. Its rest energy is approximately 135 MeV, and it exists for a lifetime of only 8.70 × 10-17 s before decaying into two gamma rays. Using the uncertainty principle, estimate the fractional uncertainty Δm/m in its mass determination.
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from a Compton scattering event is given by
hf
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Note that a thermal neutron is a neutron whose most probable kinetic energy is ~ 0.025 eV. What is the de Broglie wavelength of a thermal neutron?
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Chapter 34 Solutions
Physics for Scientists and Engineers, Vol. 1
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- In an experiment done by scattering 5.5-MeV a particles from a thin gold foil, students find that 10,000 a particles are scattered at an angle greater than 50⁰. (a) How many of these particles will be scattered greater than 110°? particles (b) How many will be scattered between 58° and 76°? particlesarrow_forwardA beam of photons with just barely enough individual photon energy to create electron–positron pairs undergoes Compton scattering from free electrons before any pair production occurs. (a) Can the Compton-scattered photons create electron–positron pairs? (b) Calculate the momentum magnitude of the photons found at a 20.0° angle from the direction of the original beamarrow_forward. (a) Find at what voltage on the X-ray tube, the emitted X-ray radiation has minimumwavelength λmin = 10-1nm? (b) Calculate energy of corresponding X-ray photon (in Joules and keV).arrow_forward
- In Davisson and Germer experiment, it was noted that the energy of an electron increases while entering a crystal, reducing its de-Broglie wavelength. Consider a 54 eV electron beam that is aimed at a nickel target. An electron that reaches the target increases its potential energy by 26 eV. What will be the speed and de-Broglic wavelength of clectron inside the nickel target? (b)arrow_forwardCalculate the following energies: the scattered gamma ray following a Compton interaction of a 140 keV gamma ray in which the scattering angle 0 is 45°.arrow_forwardX-rays of wavelength λλ = 0.140 nmnm are scattered from carbon. What is the Compton wavelength shift for photons detected at angle (relative to the incident beam) of exactly 30.0 ∘∘?What is the Compton wavelength shift for photons detected at angle (relative to the incident beam) of exactly 120 ∘∘? What is the Compton wavelength shift for photons detected at angle (relative to the incident beam) of exactly 180 ∘∘?arrow_forward
- What 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_forwardCalculate the following energies: the kinetic energy of a lead K-shell photoelectron following a photoelectric interaction of a 662 keV gamma ray (K-shell binding energy of Pb = 88 keV).arrow_forwardP6arrow_forward
- In an experiment done by scattering 5.5-MeV ∝ particles from a thin gold foil, students fi nd that 10,000∝ particles are scattered at an angle greater than 50°. (a) How many of these particles will be scattered greater than 90°? (b) How many will be scattered between 70° and 80°?arrow_forward2. a) Show that AE/E, the fractional change in energy of a photon in a Compton effect, is equal to (hv'/moc²)(1– cose). b) Plot AE/E against 0 and interpret the curve physically. c) What is the fractional increase in wavelength that leads to a 75% loss of photon energy in a Compton collision? d) Through what angle must a 0.2 MeV photon be scattered by a free electron in order for it to lose 10% of its energy?arrow_forwardX-rays of wavelength 0.120 nm are scattered from a block of carbon. If the scattered radiation is detected at 90o to the incident beam, find the Compton shift, Δλ.arrow_forward
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