Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 3, Problem 39E
To determine
To Show: For Compton effect,
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Show that the maximum kinetic energy of the recoil electron in Compton scattering is given by as attached, At what angles θ and ϕ does this occur? If we detect a scattered electron atϕ = 0° of 100 keV, what energy photon was scattered?
Chapter 3 Solutions
Modern Physics
Ch. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - Prob. 7CQCh. 3 - A ball rebounds elastically from the floor. What...Ch. 3 - Prob. 9CQCh. 3 - Prob. 10CQ
Ch. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - What is the stopping potential when 250 nm...Ch. 3 - Prob. 19ECh. 3 - Prob. 20ECh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Prob. 30ECh. 3 - Prob. 31ECh. 3 - Prob. 32ECh. 3 - Prob. 33ECh. 3 - Prob. 34ECh. 3 - Prob. 35ECh. 3 - Prob. 36ECh. 3 - Verify that the Chapter 2 formula KE=mc2 applies...Ch. 3 - Prob. 38ECh. 3 - Prob. 39ECh. 3 - Prob. 40ECh. 3 - Prob. 41ECh. 3 - Prob. 42ECh. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Prob. 45ECh. 3 - Prob. 46ECh. 3 - Prob. 47CECh. 3 - Prob. 49CECh. 3 - Prob. 50CECh. 3 - Prob. 51CECh. 3 - Prob. 52CECh. 3 - Prob. 53CECh. 3 - Prob. 54CECh. 3 - Prob. 55CE
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- Derive the relation for the recoil kinetic energy of the electron and its recoil angle ϕ in Compton scattering. Show thatarrow_forwardIn the 1920s Clinton Davisson and Lester Germer accidentally observed diffraction when electrons with 54 eV of energy were scattered off crystalline nickel. The diffraction peak occurred when the angle between the incident beam and the scattered beam was 50°. (a) What is the corresponding angle u relevant for Eq.? (b) The planes in crystalline nickel are separated by 0.091 nm, as determined by x-ray scattering experiments. According to the Bragg condition, what wavelength do the electrons in these experiments have? (c) Given the mass of an electron as 9.11 x 10-31 kg, what is the corresponding classical speed vcl of the diffracted electrons? (d) Assuming the electrons correspond to a wave with speed vcl and wavelength λ, what is the frequency f of the diffracted waves? (e) Quantum mechanics postulates that the energy E and the frequency f of a particle are related by E = hf, where h is known as Planck’s constant. Estimate h from these observations. (f) Our analysis has a small flaw:…arrow_forwardXtrays having energy of 300.00- keV undergo scattering from electrons on a metallic target. The scattered rays are detected at 37.0 degree repative to the incident rays. Find the compton shift at this angle. (m = 9.1 X 10 to -13 kg) b) find the energy of the scattered xray?arrow_forward
- X-rays of wavelength λ = 0.140nm are scatteredfrom carbon. What is the expected Compton wavelengthshift for photons detected at angles (relative to the incident beam) of exactly (a) 45°, (b) 90°, (c) 180°?arrow_forwardWhat is the radius for an electron having total energy of -3eV in the third energy level?arrow_forwardWhat is the radius for an electron having total energy of -3eV in the third energy level?arrow_forward
- An electron emitted in the beta decay of bismuth-210 has a mean kinetic energy of 390 keV. (a) Find the de Broglie wavelength of the electron. (b) Would such an electron be useful in a Davisson-Germer type scattering experiment? Address this question by determining the angle at which a fi rst-order diffraction maximum would be found using the same nickel target as Davisson and Germer.arrow_forwardanswer only 4arrow_forwardShow 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_forward
- Consider a Compton scattering experiment with a given incident photon energy. Show that the attatched equation is the maximum kinetic energy for the scattered electrons. (Hint: This energy is the Compton edge, and can be detected in radioactive decay experiments)arrow_forwardsniparrow_forwardParticle (ideal gas) in thermal equilibrium with its surroundings has a kinetic energy of 3kT/2. Calculate the de Broglie wavelength for (a) a neutron at room temperature (300 K) and (b) a “cold” neutron at 77 K (liquid nitrogen).arrow_forward
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