1. A neutral pion with rest energy 135 MeV and total energy 300 Me V is...
An η meson, whose rest energy is 548 MeV, is moving in the Lab frame with a total energy of 685 MeV in the +x-direction. It decays into two photons a) What is the momentum of the n before the decay? b) What is the velocity of the n before the decay? c) Given that one of the photons is detected going in the +x-direction (this is one of many possible scenarios), find its energy and the energy and direction...
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...
please answer #1 all parts 1) Imagine you have the following hypothetical "collision(s)". A massive particle (A), with mass, MA, is at rest. It then decays into three particles, B (of mass, mg). C and D (both massless, with the same magnitude of momentum, 110, and energy, E.). a) (5 pnts, Write the general conservation of 4-momentum relation for this situation in terms of 4-vectors). For parts b-c), assume that particle B is produced at rest: Before Ater: b) (10...
3 (b) The energy of a Bohr atom in the n-th excited state is given by the formula E--a2mc2 2,7, where α-e2/(4πέρ,10hc)-1 /137, m is the electron mass and e denotes the electron electric charge. i) Why is the total energy negative? Explain briefly your answer. ii) What is the radius of the electron in the n-th excited state in the Bohr atom? To answer that correctly follow the next steps Use Bohr's angular momentum quantization principle to obtain an...
3. The Lagrangian for a relativistic particle of (rest) mass m is L=-me²/1- (A² - Elmo (The corresponding action S = ( L dt is simply the length of the particle's path through space-time.) (a) Show that in the nonrelativistic limit (v << c) the result is the correct nonrelativistic kinetic energy, plus a constant corresponding to the particle's rest energy. (Hint. Use the binomial expansion: for small 2, (1 + 2) = 1 +a +a(-1) + a(a-1)(-2) 13 +...
the list of equations to list are attached! thanks! 6. A playground merry-go-round, i.e., a horizontal disc of radius 3 m that can rotate about a vertical axis through its center, is rotating at an angular speed 1/s (measured, as usual, in terms of radians). The moment of inertia of the merry-go-round with respect to that axis is 3000 kg m? A student of mass 80 kg is standing at the center of the merry-go-round. The student now walks outward...