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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In 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:…
Xtrays 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?
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°?
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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- What should be the minimum applied potential for complete stoppage of photocurrent in an experimental if the target material is copper and the incident frequency is 2.7x1015Hz.arrow_forwardWhat is the radius for an electron having total energy of -3eV in the third energy level?arrow_forwardAn 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_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_forwardConsider 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_forwardGamma rays of energy 0.653 Mev are Compton scattered. (a) What is the energy of the scattered photon observed at a scattering angle of 62.007 MeV (b) What is the kinetic energy of the scattered electrons? MeVarrow_forward
- A photon of wavelength 2.0 nm Compton-scatters from an electron at an angle of 90°. What is the modified wavelength and the fractional change, ∆λ/λ ?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_forwardCalculate the Compton shift when 6 nm X-rays are scattered at 45°.arrow_forward
- A sodium vapor lamp (λ = 589 nm) with a power of 100 W radiates evenly in all directions. With what frequency are photons produced in the discharge lamp (frequency = number of photons per second)? At what distance from the vapor lamp will the absorbing screen receive photons with frequency 1 photon/(cm2.s)? What is the photon current (number of photons per unit area per unit time) on the small screenat a distance of 2 m from the discharge lamp?arrow_forwardShow 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?arrow_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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