Using the rest mass of the electron, show that the energies of the two c-rays produced by the annihilation of an electron with a positron are 511 keV.

Using the rest mass of the electron, show that the energies of the two c-rays produced...
2. Electron-positron annihilation A positron with kinetic energy equal to twice its rest mass energy is incident on an electron at rest The positron and electron annihilate creating two photons. One photon goes off at an angle of 30 with respect to the incident positron. Compute the energies of the two photons and find the direction in which the second photon travels
2. Electron-positron annihilation A positron with kinetic energy equal to twice its rest mass energy is incident on...
An electron (rest mass me) of
energy E makes a head-on collision with a positron (positron is
electron’s antiparticle, it has the same mass as electron, but
opposite charge) In collision the two particles annihilate each
other and are replaces by two photons (γ rays) of equal energy,
each traveling at equal angles θ with electron’s direction of
motion. Find 1. The energy of each photon. 2. The momentum p of
each photon. 3. The angle θ.
Problem 3. Electron-positron...
8-14 positron-electron annihilation A positron et of mass m and kinetic energy K is annihilated on a target containing electrons e(same mass m) practically at rest in the laboratory frame: et(fast) +e-(at rest) → radiation a By considering the collision in the center-of- momentum frame (the frame of reference in which the total momentum of the initial particles is equal to zero), show that it is necessary for at least two gamma rays (rather than one) co result from the...
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5. An electron and a positron (antielectron), both nearly at rest, collide. What particle(s) is (are) produced? a. One photon of energy 1.02 Mev b. Two photons of energy 1.511 keV c. A pi-meson d. A K-meson and an anti-neutrino e. A W gauge boson
4 The correct value of the Compton wavelength is: A: 2.426E-12 m B: 5.013E-19 eV C: 511 keV D: 242.6 fm 5 The Compton wavelength corresponds to the wavelength-shift of a photon scattered at the angle of: A: 0 deg B: 90 deg C: 180 deg D: 360 deg 6 One alpha particle compared to two deuterons (i.e. two atoms of 2H) is: A: Heavier? B: Lighter? C: Has the same mass. D: Comparison is not possible. 7 The mass-difference...
An electron-positron pair
(positron is electron’s antiparticle, it has the same mass as
electron, but opposite charge) can be produced what two photon are
collided. Two photons of frequency ω are collided head-on. What
will be the electron’s momentum? Electron’s rest mass is me
Problem 4. Electron-positron production An electron-positron pair (positron is electron's antiparticle, it has the same mass as electron, but opposite charge) can be produced what two photon are collided. Two photons of frequency w are collided...
Problem 4. Electron-positron production An electron-positron pair (positron is electron’s antiparticle, it has the same mass as electron, but opposite charge) can be produced what two photon are collided. Two photons of frequency ω are collided head-on. What will be the electron’s momentum? Electron’s rest mass is me.
11 The energy of an annihilation photon (511 keV) corresponds to the: A: Speed of light in vacuum B: Rest-mass energy equivalent of 1 electron C: Binding energy of a PET-isotope D: Total sum of the electron and positron rest mass 12 An annihilation photon has the frequency: A: 511 MHz B: 1.235E+20 Hz C: 1.235E+17 Hz D: 7.712E+38 Hz 13 An annihilation photon has the wave-length: A: 1.522E-12 m B: 1.235E-12 m C: 2.427E-12 m D: 0.102E-10 m 14...
An electron-positron pair is produced by a 2.30 MeV photon. What is the kinetic energy of the positron if the kinetic energy of the electron is 0.958 MeV? Use the following Joules-to-electron-Volts conversion 1eV = 1.602 × 10-19 J. The rest mass of an electron is 9.11 × 10-31 kg
An electron-positron pair is produced by a 2.85 MeV photon. What is the kinetic energy of the positron if the kinetic energy of the electron is 1.219 MeV? Use the following Joules-to-electron-Volts conversion 1eV = 1.602 × 10-19 J. The rest mass of an electron is 9.11 × 10-31 kg Please answer in MeV