Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 37, Problem 34P
To determine
The proof of the Compton shift in wavelength is given by
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Students have asked these similar questions
(I) A proton is traveling with a speed of
(8.660 ± 0.012) × 10° m/s. With what maximum precision
can its position be ascertained? [Hint: Ap = m Av.]
(5) (a) Show from the Compton formula that the energy an electron gains in Compton scattering
can be written as
1
Ke=E1
1+
-
Eo
(1 – cos 0)
where Ke is the electron kinetic energy, Ey is the incoming photon energy and Eo is the
electron rest energy.
(b) Try the formula out (even if you can't derive it) on this question: a 50 keV photon
scattering such that the electron kinetic energy is a maximum. What is the max Ee in the
case? What happens when the photon energy is really large?
(I) A high-frequency photon is scattered off of an electronand experiences a change of wavelength of 1. x 10 -4nmAt what angle must a detector be placed to detect the scatteredphoton (relative to the direction of the incoming photon)?
Chapter 37 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 37.2 - Prob. 1AECh. 37.2 - Prob. 1BECh. 37.4 - Prob. 1CECh. 37.7 - Prob. 1DECh. 37.7 - Prob. 1EECh. 37.11 - Prob. 1FECh. 37 - Prob. 1QCh. 37 - Prob. 2QCh. 37 - Prob. 3QCh. 37 - Prob. 4Q
Ch. 37 - Prob. 5QCh. 37 - Prob. 6QCh. 37 - Prob. 7QCh. 37 - Prob. 8QCh. 37 - Prob. 9QCh. 37 - Prob. 10QCh. 37 - Prob. 11QCh. 37 - Prob. 12QCh. 37 - Prob. 13QCh. 37 - Prob. 14QCh. 37 - Prob. 15QCh. 37 - Prob. 16QCh. 37 - Prob. 17QCh. 37 - Prob. 18QCh. 37 - Prob. 19QCh. 37 - Prob. 20QCh. 37 - Prob. 21QCh. 37 - Prob. 22QCh. 37 - Prob. 23QCh. 37 - Prob. 24QCh. 37 - Prob. 25QCh. 37 - Prob. 26QCh. 37 - Prob. 27QCh. 37 - Prob. 28QCh. 37 - Prob. 1PCh. 37 - Prob. 2PCh. 37 - Prob. 3PCh. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Prob. 10PCh. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - Prob. 16PCh. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45PCh. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - Prob. 48PCh. 37 - Prob. 49PCh. 37 - Prob. 50PCh. 37 - Prob. 51PCh. 37 - Prob. 52PCh. 37 - Prob. 53PCh. 37 - Prob. 54PCh. 37 - Prob. 55PCh. 37 - Prob. 56PCh. 37 - Prob. 57PCh. 37 - Prob. 58PCh. 37 - Prob. 59PCh. 37 - Prob. 60PCh. 37 - Prob. 61PCh. 37 - Prob. 62PCh. 37 - Prob. 63PCh. 37 - Prob. 64PCh. 37 - Prob. 65PCh. 37 - Prob. 66PCh. 37 - Prob. 67PCh. 37 - Prob. 68PCh. 37 - Prob. 69PCh. 37 - Prob. 70PCh. 37 - Prob. 71PCh. 37 - Prob. 72GPCh. 37 - Prob. 73GPCh. 37 - Prob. 74GPCh. 37 - Prob. 75GPCh. 37 - Prob. 76GPCh. 37 - Prob. 77GPCh. 37 - Prob. 78GPCh. 37 - Prob. 79GPCh. 37 - Prob. 80GPCh. 37 - Prob. 81GPCh. 37 - Prob. 82GPCh. 37 - Prob. 83GPCh. 37 - Prob. 84GPCh. 37 - Prob. 85GPCh. 37 - Prob. 86GPCh. 37 - Prob. 87GPCh. 37 - Prob. 88GPCh. 37 - Prob. 89GPCh. 37 - Prob. 90GPCh. 37 - Prob. 91GPCh. 37 - Prob. 92GPCh. 37 - Prob. 93GPCh. 37 - Show that the wavelength of a particle of mass m...Ch. 37 - Prob. 95GPCh. 37 - Prob. 96GPCh. 37 - Prob. 97GPCh. 37 - Prob. 98GPCh. 37 - Prob. 99GPCh. 37 - Prob. 100GP
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- (I) What is the wavelength of a neutron (m 1.67 x 10-27 kg) traveling at 8.5 × 10ª m/s? ||arrow_forward(II) What is the minimum photon energy needed to produce a u*u pair? The mass of each u (muon) is 207 times the mass of an electron. What is the wavelength of such a photon?arrow_forward(c) A proton confined in a one dimensional box emits a 2.0 MeV gamma-ray photon in a quantum jump from n = 2 to n = 1. What is the length of the box? The mass of a proton is 1.67 x 1027 kg.arrow_forward
- Please do fast ASAP fastarrow_forward(5) (a) Show from the Compton formula that the energy an electron gains in Compton scattering can be written as 1 Ke=E1 1+ (1 cos ( where Ke is the electron kinetic energy, Ey is the incoming photon energy and Eo is the electron rest energy. (b) Try the formula out (even if you can't derive it) on this question: a 50 keV photon scattering such that the electron kinetic energy is a maximum. What is the max Ee in the case? What happens when the photon energy is really large?arrow_forward2) (a) In a Compton scattering experiment, where light of frequency 5.7 x 10" Hz, scatters off a proton of mass 1.67 x 10kg, find the frequency of the photons that are scattered at an angle of 55°. (b) If a photon of wavenumber 1.1 x 10 m', materializes in to an electron-positron pair, what will be the kinetic energy of the positron?arrow_forward
- lication of the principles of conservation of relativistic mtum leads to the well-known Compton formula, E' = E 1+ (E/mec²) (1 - cos 0,)'arrow_forward(10) i) Use the quantum mechanical kinetic energy operator T, = to find the kinetic energy of the first 2m dx? excited state of the Particle in a Box (with n = 2). ii) Then, use the relationship of kinetic energy and momentum (KE = p?/2m) to find an equation for the de Broglie wavelength of the particle in a one-dimensional box as a function only of the box length L and quantum number n. iii) Sketch the wavefunction in the box to verify that the expression you obtained in part ii) is correct.arrow_forwardｗ２arrow_forward
- 1a) Calculate the de Broglie wavelength of a 0.50 kg ball moving with a constant velocity of 26 m/s (about 60 mi/h). =__________m A car radio draws 0.17 A of current in the auto's 12-V electrical system. (2a) How much electric power does the radio use?=___________W(2b) What is the effective resistance of the radio? =__________Ωarrow_forward1) The spectral emittance of a radiating cavity is maximal at a wavelength of 32 µm. The temperature is then changed so that the total power radiated in the cavity triples. Calculate the new temperature of the cavity. 2) A proton is moving at a speed of 0.923c. If the kinetic energy is tripled, by how much does the speed increase?arrow_forward-27 (c) i. A thermal neutron has an energy of E= 0.025 eV and a mass of 1.675 x 107 kg. Calculate the de Broglie wavelength of a thermal neutron. ii. On the basis of this result, explain whether it is possible to observe diffraction effects when the neutron is scattered by a cobalt crystal. Suggest a reason why performing neutron diffraction experiments is challenging.arrow_forward
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