Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 44, Problem 52P
To determine
To calculate:
the mass difference between a pion and a muon in kilograms.
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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.
A K° meson (mass 497.61 MeV/c?) decays to a n+, 7- pair with a mean lifetime of 0.89 x
10-10 s. Suppose the Kº has a kinetic energy of 276 MeV when it decays, and that the two
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Calculate the kinetic energy of each a meson and the opening angle between them. The
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The range of the nuclear strong force is believed to be about 1.2 x 10-15 m. An early theory of nuclear physics proposed that the particle that “mediates” the strong force (similar to the photon mediating the electromagnetic force) is the pion. Assume that the pion moves at the speed of light in the nucleus, and calculate the time ∆t it takes to travel between nucleons. Assume that the distance between nucleons is also about 1.2 x 10-15 m. Use this time ∆t to calculate the energy ∆E for which energy conservation is violated during the time ∆t. This ∆E has been used to estimate the mass of the pion. What value do you determine for the mass? Compare this value with the measured value of 135 MeV/c2 for the neutral pion.
Chapter 44 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 44 - Prob. 1QCh. 44 - Prob. 2QCh. 44 - Prob. 3QCh. 44 - Prob. 4QCh. 44 - Prob. 5QCh. 44 - Prob. 6QCh. 44 - Prob. 7QCh. 44 - Prob. 8QCh. 44 - Prob. 9QCh. 44 - Prob. 10Q
Ch. 44 - Prob. 11QCh. 44 - Prob. 1PCh. 44 - Prob. 2PCh. 44 - Prob. 3PCh. 44 - Prob. 4PCh. 44 - Prob. 5PCh. 44 - a A stationary particle 1 decays into parties 2...Ch. 44 - Prob. 7PCh. 44 - GO A positive tau , rest energy = 1777 MeV is...Ch. 44 - Prob. 9PCh. 44 - Prob. 10PCh. 44 - Prob. 11PCh. 44 - Prob. 12PCh. 44 - Prob. 13PCh. 44 - Prob. 14PCh. 44 - Prob. 15PCh. 44 - Prob. 16PCh. 44 - Prob. 17PCh. 44 - Prob. 18PCh. 44 - Prob. 19PCh. 44 - Prob. 20PCh. 44 - Prob. 21PCh. 44 - Prob. 22PCh. 44 - Prob. 23PCh. 44 - Prob. 24PCh. 44 - Prob. 25PCh. 44 - Prob. 26PCh. 44 - Prob. 27PCh. 44 - Prob. 28PCh. 44 - Prob. 29PCh. 44 - Prob. 30PCh. 44 - Prob. 31PCh. 44 - Prob. 32PCh. 44 - Prob. 33PCh. 44 - Prob. 34PCh. 44 - Prob. 35PCh. 44 - What would the mass of the Sun have to be if Pluto...Ch. 44 - Prob. 37PCh. 44 - Use Wiens law see Problem 37 to answer the...Ch. 44 - Prob. 39PCh. 44 - Prob. 40PCh. 44 - Prob. 41PCh. 44 - Due to the presence everywhere of the cosmic...Ch. 44 - SSM Suppose that the radius of the Sun were...Ch. 44 - Prob. 44PCh. 44 - Prob. 45PCh. 44 - Prob. 46PCh. 44 - Prob. 47PCh. 44 - Prob. 48PCh. 44 - Prob. 49PCh. 44 - Prob. 50PCh. 44 - Prob. 51PCh. 44 - Prob. 52PCh. 44 - Prob. 53PCh. 44 - Prob. 54P
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- What is for a proton having amass energy of 938.3 MeV accelerated through an effective potential of 1.0 TV (teravolt)?arrow_forwardAs a result of the decay of an inertial K0- meson, two π0- meson particles moving in opposite directions are created. The inertial energies of K0 and π0 particles are 498MeV, respectively. and if 135MeV, calculate the kinetic energy of each π0 particle.arrow_forwardThe lifetime of a muon is 2.20 ?s. If you measured its mass to be 105.7 MeV/c2, what would be the minimum (Heisenberg) uncertainty in this value? Sketch the situation, defining all of your variablesarrow_forward
- a) 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.arrow_forwardProblem 28.05. Find the velocity of a proton with mass mp = 938.3 MeV which has been accelerated to an energy of 7.0 TeV at the Large Hadron Collider (LHC).arrow_forwardWhile in flight, an unstable particle decays into three pions (rest mass 140 MeV/c²) according to figure 1. The kinetic energies and angles are: K₁ = 190 MeV, K₂ = 321 MeV, K3 = 58 MeV 0₁ = 22.4°, 0₂ = 12.25° Calculate the mass of the unstable particle.arrow_forward
- The intensity of cosmic ray radiation decreases rapidly with increasing energy, but there are occasionally extremely energetic cosmic rays that create a shower of radiation from all the particles they create by striking a nucleus in the atmosphere as seen in the figure given below. Suppose a cosmic ray particle having an energy of 1010 GeV converts its energy into particles with masses averaging 200 MeV/c2 . (a) How many particles are created? (b) If the particles rain down on a 1.00-km2 area, how many particles are there per square meter?arrow_forwardA Λ0 particle at rest decays into a proton and a π- meson. (a) Use the data as shown to find the Q value for this decay in MeV. (b) What is the total kinetic energy shared by the proton and the π- meson after the decay? (c) What is the total momentum shared by the proton and the π- meson? (d) The proton and the π- meson have momenta with the same magnitude after the decay. Do they have equal kinetic energies? Explain.arrow_forwardA π(m0π=273) meson in repos decays into a neutrino mov=0 and a μ(mOmiu=207me) Meson find the kinetic energy of the neutrino and the μ meson.arrow_forward
- A muon (mμc2 = 105.7 MeV) at rest decays into a electron (mec2 = 0.511 MeV) and a neutrino (whose mass is very nearly zero). What is the Kelectron and Kneutrino in MeV?arrow_forwardIn a collision experiment, a proton at rest is struck by an antiproton. (a) What is the minimum kinetic energy of the antiproton if the available energy is 2.00 TeV? (b) If a colliding beam is used instead of a stationary target, what minimum kinetic energy for each beam is required for an available energy of 2.00 TeV?arrow_forwardWhat is the rest energy (in joules) of a subatomic particle whose (rest) mass is 6.7×10−31 kg? How many MeV’s of energy is this?arrow_forward
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