Concept explainers
(a)
The energy of the scattered photon,
(a)
Answer to Problem 31P
The energy of the scattered photon is
Explanation of Solution
Write the equation for the final energy,
Here,
Write the expression for wavelength in terms of initial wavelength and change in wavelength
Here,
Write the equation for the initial energy,
Here,
Write the equation for the difference in wavelength,
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Thus, the energy of the scattered photon is
(b)
The recoil kinetic energy of the electron.
(b)
Answer to Problem 31P
The recoil kinetic energy of the electron is
Explanation of Solution
Write the equation for the final energy,
Here,
Write the equation for the initial energy,
Here,
Write the expression of total energy
Here,
Conclusion:
Substitute
Therefore, the recoil kinetic energy of the electron is
(c)
The recoil angle of the electron.
(c)
Answer to Problem 31P
The recoil angle of the electron is
Explanation of Solution
Write the equation for the Conservation of momentum along
Here,
Write the equation for the Conservation of momentum along
Here,
Divide the expression (I) and (II)
Conclusion:
Substitute
Therefore, the recoil angle of the electron is
Want to see more full solutions like this?
Chapter 3 Solutions
EBK MODERN PHYSICS
- A photon of energy 5.0 keV collides with a stationary electron and is scattered at an angle of 60°. What is the energy acquired by the electron in the collision?arrow_forwardPhotons of energy 0.7 MeV are scattered from electrons initially at rest. If the energy of the scattered photons is 0.5 MeV, find (a) the wave shift, (b) the angle at which the photons scatter, (c) the angle at which the electrons recoil, and (d) the kinetic energy of the recoiling electrons.arrow_forwardIn a particular Compton scattering experiment, it is found that the incident wavelength is shifted by 0.5 percent when the scattering angle is θ = 130°. What is the magnitude of the wavelength of the scattered photon?arrow_forward
- If a photon of wavelength 0.0665 nm hits a free electron and is scattered at an angle of 35◦ from its original direction, findat. the change in wavelength of this photon,b. the wavelength of the scattered photon,vs. the change in energy of the photon (is it a loss or a gain?), and d. the energy gained by the electron.arrow_forwardIn some scattering experiments, the speed of the particles is tuned so that their de Broglie wavelength has a specific value. If a wavelength of 0.117 nm is required, how fast must a neutron be traveling to achieve this wavelength?arrow_forwardPhotons of energy 0.7 MeV are scattered from electrons initially at rest. If the energy of the scattered photons is 0.5 MeV, find (a) the wave shift, (b) the angle at which the photons scatter, (c) the angle at which the electrons recoil, and (d) the kinetic energy of the recoiling electronarrow_forward
- In a Compton scattering experiment, an x - ray photon scatters through an angle of 17.4° from a free electron that is initially at rest. The electron recoils with a speed of 2 180 km/s. Calculate (a) the wavelength of the incident photon and (b) the angle through which the electron scattersarrow_forwarda. The kinetic energy of an electron is (0+1.5)keV. Find the de Broglie wavelength and momentum of the electron. b. A photon of wavelength (0+ 22) x 10-12 mis collided with an electron from a carbon block and the scattered photon is detected at (0+75)° to the incident beam. Find the energy absorbed by the recoil electron. C. Discuss (in your own words) why the Saturation Current is directly proportional to the Intensity of incident radiation in the Photoelectric Effect.arrow_forwardWhat is the maximum kinetic energy of electrons knocked out of a thin copper foil by Compton scattering of an incident beam of 17.5 keV x rays? Assume the work function is negligible.arrow_forward
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning