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8-14 positron-electron annihilation A positron et of mass m and kinetic energy K is annihilated on...
An electron (rest mass me) of energy E makes a head-on collision with a positron (positron...
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...
2. Electron-positron annihilation A positron with kinetic energy equal to twice its rest mass energy is incident on an...
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...
the annihilation of an electron and a positron, each with negligible kinetic energy, results in the...
the annihilation of an electron and a positron, each with negligible kinetic energy, results in the production of two photons with the same energy. (a) Determine the energy of each photon in MeV. MeV (b) Determine the wavelength of each photon. m
An electron and a positron each have a mass of 9.11 × 10-31 kg. They collide...
An electron and a positron each have a mass of 9.11 ×
10-31 kg. They collide and both vanish, with only
electromagnetic radiation appearing after the collision. If each
particle is moving at a speed of 0.42c relative to the
laboratory before the collision, determine the energy of the
electromagnetic radiation.
Particles before annihilation Burst of EM radiation after annihilation
the annihilation of an electron and a positron, each with negligible kinetic energy, results in the production of two photons with the same energy. (a) Determine the energy of each photon in MeV. MeV...
the annihilation of an electron and a positron, each with negligible kinetic energy, results in the production of two photons with the same energy. (a) Determine the energy of each photon in MeV. MeV (b) Determine the wavelength of each photon. m
PHYS10121 a) A particle of rest mass m is travelling so that its total energy is...
PHYS10121 a) A particle of rest mass m is travelling so that its total energy is 2mc. It collides with a stationary particle of rest mass m to form a new single particle. What is the 2. rest mass of the new particle? 9 marks] b) A photon hits an electron at rest and produces an electron-positron pair according to the reaction γ+ e- e" + e-+e+, what is the smallest possible photon energy for this to occur? You may...
in the What is the momentum, in the center of mass reference frame, of a reaction...
in the What is the momentum, in the center of mass reference frame, of a reaction +p+Kº+A if the has an energy E= 3 GeV in the laboratory reference frame? Notice that m.,- = 139.6 MeV/ca, mp = 938.3 MeV/c. (Tip: in the laboratory reference frame, the proton is at rest. In the center of mass reference frame, ộp = (P2c2 + m 4,P) and Pa- = (1pe2 +m-c, -D)) A photon with energy E = 10 MeV collides elastically...
11 The energy of an annihilation photon (511 keV) corresponds to the: A: Speed of light...
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...
3. (10 pts) High energy particle accelerators convert part of the energy of colliding particles into...
3. (10 pts) High energy particle accelerators convert part of the energy of colliding particles into the masses of particles produced in the collisions. Consider a collision of two protons that produces two charged kaons. The mass of the proton is mp- 938.3 MeV/c2, and the mass of each kaon is mK 493.7 MeV/c2. The reaction is a) The total energy (kinetic energy and rest energy) and total momentum is conserved. Suppose one of the protons is at rest in...
5. A proton of mass m is accelerated up to a kinetic energy K and then...
5. A proton of mass m is accelerated up to a kinetic energy K and then collides with a stationary proton at rest. All that is left after the collision is a new particle of mass M. a. Write out the momentum and energy equations for the collision. b. What is the maximum mass M that can be created in this collision?
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...
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 and a positron each have a mass of 9.11 ×
10-31 kg. They collide and both vanish, with only
electromagnetic radiation appearing after the collision. If each
particle is moving at a speed of 0.42c relative to the
laboratory before the collision, determine the energy of the
electromagnetic radiation.
Particles before annihilation Burst of EM radiation after annihilation
PHYS10121 a) A particle of rest mass m is travelling so that its total energy is 2mc. It collides with a stationary particle of rest mass m to form a new single particle. What is the 2. rest mass of the new particle? 9 marks] b) A photon hits an electron at rest and produces an electron-positron pair according to the reaction γ+ e- e" + e-+e+, what is the smallest possible photon energy for this to occur? You may...
in the What is the momentum, in the center of mass reference frame, of a reaction +p+Kº+A if the has an energy E= 3 GeV in the laboratory reference frame? Notice that m.,- = 139.6 MeV/ca, mp = 938.3 MeV/c. (Tip: in the laboratory reference frame, the proton is at rest. In the center of mass reference frame, ộp = (P2c2 + m 4,P) and Pa- = (1pe2 +m-c, -D)) A photon with energy E = 10 MeV collides elastically...
3. (10 pts) High energy particle accelerators convert part of the energy of colliding particles into the masses of particles produced in the collisions. Consider a collision of two protons that produces two charged kaons. The mass of the proton is mp- 938.3 MeV/c2, and the mass of each kaon is mK 493.7 MeV/c2. The reaction is a) The total energy (kinetic energy and rest energy) and total momentum is conserved. Suppose one of the protons is at rest in...
5. A proton of mass m is accelerated up to a kinetic energy K and then collides with a stationary proton at rest. All that is left after the collision is a new particle of mass M. a. Write out the momentum and energy equations for the collision. b. What is the maximum mass M that can be created in this collision?
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