Using the principles of conservation of energy and momentum, show that in the decay of a pion at rest, to a muon and a neutrino, л->u+v., the decay products come out back-to-back. What is the total energy of the muon? What is the total energy of the neutrino? At what fraction of the speed of light does the muon move? (Mass of the muon is 105 MeV/c^2. Mass of the pion is 139 MeV/c^2.)
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- A particle is propagating at relativistic speed. It is observed to have an energy of 3.1 GeV and a momentum of 5.99E-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)The mass of a theoretical particle that may be associated with the unification of the electroweak and strong forces is 1014 GeV/c2 .(a) How many proton masses is this?(b) How many electron masses is this? (This indicates how extremely relativistic the accelerator would have to be in order to make the particle, and how large the relativistic quantity γ would have to be.)One possible decay mode of the neutral kaon is K0→π0+π0. The rest energiesof the K0andπ0are 498 MeV and 135 MeV, respectively. If the kaon is initially atrest when it decays, (a) How much energy is released in the decay? (b) What are themomentum and relative directions of the two neutral pions (π0)?
- A neutral pion moving with velocity v decays into two photons; one photon of energy E1 travellmng m the original direction of the parent pion and the other photon of energy E2 in the exactly opposite direction. If E1 = 2E2, find v.A proton‑antiproton annihilation takes place, leaving two photons with a combined energy of 2.50 GeV. Find the kinetic energy Kp of the proton if the proton had the same kinetic energy as the antiproton. Find the kinetic energy Kp′ of the proton if the proton had 1.25 times as much kinetic energy as the antiproton.A particle is propagating at relativistic speed. It is observed to have an energy of 3.1 GeV and a momentum of 5.06E-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)
- 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).A K0 meson (mass 497.61 MeV/c2) decays to a π+, π− pair with a mean lifetime of 0.89 ×-10s. Suppose the K0 has a kinetic energy of 276 MeV when it decays, and that the two π mesons emerge at equal angles to the original K0 direction.Calculate the kinetic energy of each π meson and the opening angle between them. The mass of a π meson is 139.57 MeV/c2.How much energy is released when a m- muon at rest decays into an electron and two neutrinos? Neglect the small masses of the neutrinos.
- A π meson (rest mass 135MeV/c2) moving through the laboratory at a speed of 0.998c decays into two gamma-ray photons. The two photons have equal energies Eγ and move at equal angles ? on opposite sides of the direction of motion of the original π meson. Calculate Eγ and θ.If a muon at rest decays into an electron and two neutrinos, what is the total kinetic energy of the decay products? Assume that the neutrinos have zero rest mass. Express your answer in millions of electron volts to four significant figures.The Kº meson is a subatomic particle of mass 498 MeV/c² that decays into two charged pions, Kº→++. The and have opposite charges, but the same mass, 140. MeV/c². A Kº at rest decays into two pions. Find the energies, momenta, and speeds of the two pions.