(6) Suppose an atom of iron at rest emits an X-ray photon of energy 64 keV. Calculate the recoil momentum and kinetic energy for the atom. (You should look up mass for iron, and think about whether you need to use the relativistic kinetic energy for the atom or if the classical expression is good enough.)

(6) Suppose an atom of iron at rest emits an X-ray photon of energy 64 keV. Calculate the recoil momentum and kinetic energy for the atom. (You should look up mass for iron, and think about whether you need to use the relativistic kinetic energy for the atom or if the classical expression is good enough.)

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter14: Special Theory Of Relativity

Section: Chapter Questions

Problem 14.28P

See similar textbooks

Similar questions

The 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.
The 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.
A neutral meson is a particle that can be created by accelerator beams. If one such particle lives as measured in the laboratory, and when at rest relative to an observer, what is its velocity relative to the laboratory?
In the Check Your Learning section of Example 27.1, the author commented that even at z=0.2 , there is already an 11% deviation between the relativistic and the classical solution. What is the percentage difference between the classical and relativistic results at z=0.1 ? What is it for z=0.5 ? What is it for z=1 ?
Show that a potential difference of 1.02 x 106 V would be sufficient to give an electron a speed equal to twice the speed of light if Newtonian mechanics remained valid at high speeds. (b) What speed would an electron actually acquire in falling through a potential difference equal to 1.02 x 106 V ?
The kinetic energy of motion, 7, of a particle is the relativistic total energy minus the rest energy, i.e.. T=ymor²- moe², where is the speed of light. (a) A particle has rest mass mo and speed v. Ifc, then show that the kinetic energy due to motion is approximated by the well-known classical expression for the kinetic energy, i.e.. (b) What is the particle's speed if its kinetic energy 7 is equal to its rest energy? (c) Express the momentum p of the particle as a function of the rest mass mo and the kinetic energy of the motion, 7, Your expression should contain mo and T, not or [Hint: Use the relation between E and p that does not involveu ory.]
Calculate the range of speeds for a particle of mass m in which the classical relation for the kinetic energy, (1/2)*m*v^2, is within 0.5 percent of the correct relativistic value. Find the values for an electron and a proton.
Consider a highly relativistic particle. Discuss what is meant by the term “highly relativistic.” (Note that, in part, it means that the particle cannot be massless.) Construct a problem in which you calculate the wavelength of such a particle and show that it is very nearly the same as the wavelength of amassless particle, such as a photon, with the same energy.Among the things to be considered are the rest energy of the particle (it should be a known particle) and its total energy, which should be large compared to its rest energy.
(a) Calculate the relativistic kinetic energy of a 1000-kg car moving at 30.0 m/s if the speed of light were only 45.0 m/ s. (b) Find the ratio of the relativistic kinetic energy to classical.
Can you please help with the attached question? Thanks!
answer the ff with complete solution num 1
A particle is propagating at relativistic speed. It is observed to have an energy of 3.1 GeV and a momentum of 7.34E-19 kg.m/s. Determine the mass of that particle, expressed in units of 1E-27kg and keeping three significant digits. (So if the mass was 7E-27kg, you would enter 7).