Concept explainers
(a)
The minimum photon energy required to produce reaction in reference frame.
(a)
Answer to Problem 60P
The minimum photon energy required to produce reaction in reference frame is
Explanation of Solution
At threshold point, photon and a proton colliding head on to produce a proton and a pion at rest.
Write the expression for the conservation of energy of the following reaction.
Here,
Write the expression for conservation of momentum.
Rewrite the above equation for
The energy of the each particle is,
Conclusion:
Combining the equations (I) and (III).
Substitute
Substitute
Therefore, the minimum photon energy required to produce reaction in reference frame is
(b)
The wavelength of the photon.
(b)
Answer to Problem 60P
The wavelength of the photon is
Explanation of Solution
Write the expression from Wien’s displacement law.
Here,
Rewrite the above expression for
Conclusion:
Substitute
Therefore, the wavelength of the photon is
(c)
The energy of the photon.
(c)
Answer to Problem 60P
The energy of the photon is
Explanation of Solution
Write the expression for energy of the photon.
Here,
Conclusion:
Substitute
Therefore, the energy of the photon is
(d)
The energy of the proton in the reference frame mentioned in part (a).
(d)
Answer to Problem 60P
The energy of the proton in the reference frame mentioned in part (a) is
Explanation of Solution
Write the expression from Doppler effect.
Here,
The speed of the proton is,
Here,
The energy of the proton is,
Conclusion:
Substitute
Substitute
Substitute
Therefore, the energy of the proton in the reference frame mentioned in part (a) is
Want to see more full solutions like this?
Chapter 31 Solutions
Principles of Physics: A Calculus-Based Text
- If the rest energies of a proton and a neutron (the two constituents of nuclei) are 938.3 and 939.6 MeV, what is the difference in their mass in kilograms?arrow_forwardThe primary decay mode for the negative pion is +v . (a) What is the energy release in MeV in this decay? (b) Using conservation of momentum, how much energy does each of the decay products receive, given the is at rest when it decays? You may assume the muon antineutrino is massless and has momentum p = E/c , just like a photon.arrow_forward(a) Beta decay is nuclear decay in which an electron is emitted. If the electron is given 0.750 MeV of kinetic energy, what is its velocity? (b) Comment on how the high velocity is consistent with the kinetic energy as it compares to the rest mass energy of the electron.arrow_forward
- What is for a proton having amass energy of 938.3 MeV accelerated through an effective potential of 1.0 TV (teravolt)?arrow_forwardAn unstable particle, initially at rest, decays into a proton (rest energy 938.3 MeV) and a negative pion (rest energy 139.5 MeV). A uniform magnetic field of 0.250 T exists perpendicular to the velocities of the created particles. The radius of curvature of each track is found to be 1.33 m. What is the rest mass of the original unstable particle?arrow_forwardPlans for ail accelerator that produces a secondary beam of K mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of 500 MeV. (a) What would the relativistic quantity =11v2/c2be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?arrow_forward
- Integrated Concepts Plans for an accelerator that produces a secondary beam of Kmesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of 500 MeV. (a) What would the relativistic quantity be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?arrow_forwardA meson is a particle that decays into a muon and a massless particle. The meson has a rest mass energy of 139.6 MeV, and the muon has a rest mass energy of 105.7 MeV. Suppose the meson is at rest and all of the missing mass goes into the muon's kinetic energy. How fast will the muon move?arrow_forward(a) Verify from its quark composition that the particle could be an excited state of the proton. (b) There is a spread of about 100 MeV in the decay energy of the interpreted as uncertainty due to its short lifetime. What is its approximate lifetime? (c) Does its decay proceed via the strong or weak force?arrow_forward
- A pion at rest (m = 273me) decays to a muon (m = 207me) and an antineutrino (mp 0). The reaction is written + v. Find (a) the kinetic energy of the muon and (b) the energy of the antineutrino in electron volts.arrow_forwardSuppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y? (b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y, how long would you have to wait on an average to see a single proton decay?arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College