Concept explainers
(a)
The scattering angle.
(a)
Answer to Problem 20P
The angle
Explanation of Solution
The scattering angle for both the photon and the electron is
Write the expression for conservation of momentum in the x-direction
Here,
Substitute for
Here,
Write the expression for conservation of momentum in the y-direction
Here,
Rearrange (II) and substitute for
Substitute (IV) in (II) and rearrange for
Write the equation for Compton shift
Here,
Substitute (V) in (VI)
Rearrange and multiply by
Write the expression for
Rearrange
Rearrange for
Thus, the angle
(b)
The energy and momentum of the photon after scattering.
(b)
Answer to Problem 20P
The energy and momentum of the scattered photons are is
Explanation of Solution
Substitute for
Write the expression for energy of the scattered photon
Here,
Write the expression for momentum of the scattered photon
Substitute (XI) in (XII)
Substitute for
Thus, the energy and momentum of the scattered photons are
(c)
The kinetic energy and momentum of the scattered electron.
(c)
Answer to Problem 20P
The kinetic energy and momentum of the scattered photon are
Explanation of Solution
Write the expression for kinetic energy of the scattered electron
Here,
Substitute for
The momentum of the scattered photon is same as the scattered electron and it is equal to
Thus, the kinetic energy and momentum of the scattered photon are
Want to see more full solutions like this?
Chapter 39 Solutions
Physics for Scientists and Engineers with Modern Physics
- (a) What is the energy of an electron whose de Brogue wavelength is that of a photon of yellow light with wavelength 590 nm? (b) What is the de Brogue wavelength of an electron whose energy is that of the photon of yellow light?arrow_forwardPhoton P shown moves an electron from energy level n = 1 to energy level n = 3. The electron jumps down to n = 2, emitting photon Q, and then jumpsdown to n = 1, emitting photon R. The spacing between energy levels is drawn to scale. What is the correct relationship among the wavelengths of the photons?A. λP < λQ < λR B. λR < λP < λQC. λQ < λP < λR D. λR < λQ < λParrow_forwardWhat are (a) the energy of a photon corresponding to wavelength 1.00 nm, (b) the kinetic energy of an electron with de Broglie wavelength 1.00 nm, (c) the energy of a photon corresponding to wavelength 1.00 fm, and (d) the kinetic energy of an electron with de Broglie wavelength 1.00 fm?arrow_forward
- A laser used to weld detached retinas emits light with a wavelength of 652 nm in pulses that are 20.0 ms in duration. The average power during each pulse is 0.600 W. (a) How much energy is in each pulse in joules? In electron volts? (b) What is the energy of one photon in joules? In electron volts? (c) How many photons are in each pulse?arrow_forward(a) A proton has a slightly smaller mass than a neutron. Compared to the neutron described in Example 39.2, would a proton of the same wavelength have (i) more kinetic energy; (ii) less kinetic energy; or (iii) the same kinetic energy? (b) Example 39.1 shows that to give electrons a wavelength of 1.7 * 10^-10 m, they must be accelerated from rest through a voltage of 54 V and so acquire a kinetic energy of 54 eV. Does a photon of this same energy also have a wavelength of 1.7 * 10^-10 m ?arrow_forwardThe work function of lithium is W0 = 2.93 eV. (a) What is the maximum wavelength of incident light for which photoelectrons will be released from lithium? m(b) What is the minimum frequency of incident light, called the cutoff frequency, for which photoelectrons will be released from lithium? Hz(c) What is the maximum kinetic energy of photoelectrons emitted by lithium if 8.30-eV photons strike its surface? eVarrow_forward
- X-ray photons of wavelength 0.0248 nm are incident on a target and the Compton-scattered photons are observed at 80.0° above the photons' incident line of travel. [Use relativistic units for this problem!] (a) What is the wavelength of the scattered photons? nm (b) What is the momentum of the incident photons? eV/c What is the momentum of the scattered photons? eV/c (c) What is the kinetic energy of the scattered electrons? eV (d) What is the momentum (magnitude and angle) of the scattered electrons? eV/carrow_forward(a) A photoelectric experiment is performed where green light with a wavelength of 546.1 nm is shined on a metal plate, creating a photocurrent from it to a collector plate. When the potential difference between the metal plate and the collector is increased to a magnitude of 0.686 V, the photocurrent goes to zero—in other words, this is the stopping potential. What is the work function (in eV) for this metal? answer in eV (b) The experiment is performed again with the same metal, but now red light with a wavelength 650.0 nm is shined on it. What is the new stopping potential (in V) in this case? answer in Varrow_forwardA 100 W sodium lamp (l = 589 nm) radiates energy uniformly in all directions. (a) At what rate are photons emitted by the lamp? (b) At what distance from the lamp will a totally absorbing screen absorb photons at the rate of 1.00 photon/cm2 s? (c) What is the photon flux (photons per unit area per unit time) on a small screen 2.00 m from the lamp?arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax