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
Bundle: Principles of Physics: A Calculus-Based Text, 5th + WebAssign Printed Access Card for Serway/Jewett's Principles of Physics: A Calculus-Based Text, 5th Edition, Multi-Term
- What is for a proton having amass energy of 938.3 MeV accelerated through an effective potential of 1.0 TV (teravolt)?arrow_forwardIf relativistic effects are to be less than then must be less than 1.03. At what relative velocity isarrow_forwardIf 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_forward
- Show that for a particle is invariant under Lorentz transformations.arrow_forwardEnergy reaches the upper atmosphere of the Earth from the Sun at the rate of 1.79 1017 W. If all of this energy were absorbed by the Earth and not re-emitted, how much would the mass of the Earth increase in 1.00 yr?arrow_forwardThe mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy. Is the same true for the coal and oxygen combined in a conventional power plant? If so, is this observable in practice for the coal and oxygen? Explain.arrow_forward
- A box is cubical with sides of proper lengths L1 = L2 = L3, as shown in Figure P26.14, when viewed in its own rest frame. If this block moves parallel to one of its edges with a speed of 0.80c past an observer, (a) what shape does it appear to have to this observer? (b) What is the length of each side as measured by the observer? Figure P26.14arrow_forwardAn unstable particle with a mass equal to 3.34 1027 kg is initially at rest. The particle decay's into two fragments that fly off with velocities of 0.987c and 0.868c, respectively. Find the masses of the fragments. Hint: Conserve both mass-energy and momentum.arrow_forwardA 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_forward
- Suppose a W created in a bubble chamber lives for What distance does it move in this time if it is traveling at 0.900 c? Since this distance is too short to make a track, the presence of the W must be inferred from its decay products. Note that the time is longer than the given W lifetime, which can be due to the statistical nature of decay or time dilation.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
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College