A neutral pion moving with velocity v decays into two photons; one photon of energy E1 travellmg 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.
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- 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.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.A beam of π+meson (pions) at Fermilab are traveling at a speed of 0.92cwithrespect to the laboratory. The proper mean lifetime for these pions is 2.6×10−8s.(a) Is this proper lifetime measured in the laboratory frame or the frame of the pions?Why? (b) What is the mean lifetime as measured in the other frame of reference?
- The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6 10-8 s. (a) If the meson moves with a speed of 0.94c, what is its mean lifetime as measured by an observer on Earth? (b) What is the average distance it travels before decaying, as measured by an observer on Earth? (c) What distance would it travel if time dilation did not occur?Pls help ASAPSuppose there was a process by which two photons,each with momentum 0.65 MeV/c could collide and makea single particle. What is the maximum mass that the particle could possess?
- A particle of rest mass m decays from rest into a particle of rest mass m0 and a massless photon moving to the right. Find the energy of the two particles in the final state in terms of m and m0 , as observed from a reference frame moving at velocity v to the righta) A K° meson (mass 497.61 MeV/c2) decays to a t, T pair with a mean lifetime of 0.89 x 10-10 s. Suppose the K° has a kinetic energy of 276 MeV when it decays, and that the two A mesons emerge at equal angles to the original K° direction. Calculate the kinetic energy of each T meson and the opening angle between them. The mass of a 7 meson is 139.57 MeV/c2.Electrons are accelerated to an energy of 13.0 GeV in the 3.00 km long Stanford Linear Accelerator. (a) What is the γ factor for the electrons?(b) What is their speed? Answer to 10 decimal places. c(c) How long does the accelerator appear to them? cm