Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Question
Chapter 35, Problem 23P
To determine
The ground state energy of ten non interacting bosons in one dimensional box.
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Most of the particles known to physicists are unstable. For example, the lifetime of the neutral pion,π0, is about 8.4x10-17 s. Its mass is 135.0 MeV/c2. a) What is the energy width of the π0 in its ground state? b) What is the relative uncertainty ∆m/m of the pion’s mass?
Chapter 35 Solutions
Physics for Scientists and Engineers, Vol. 1
Ch. 35 - Prob. 1PCh. 35 - Prob. 2PCh. 35 - Prob. 3PCh. 35 - Prob. 4PCh. 35 - Prob. 5PCh. 35 - Prob. 6PCh. 35 - Prob. 7PCh. 35 - Prob. 8PCh. 35 - Prob. 9PCh. 35 - Prob. 10P
Ch. 35 - Prob. 11PCh. 35 - Prob. 12PCh. 35 - Prob. 13PCh. 35 - Prob. 14PCh. 35 - Prob. 15PCh. 35 - Prob. 16PCh. 35 - Prob. 17PCh. 35 - Prob. 18PCh. 35 - Prob. 19PCh. 35 - Prob. 20PCh. 35 - Prob. 21PCh. 35 - Prob. 22PCh. 35 - Prob. 23PCh. 35 - Prob. 24PCh. 35 - Prob. 25PCh. 35 - Prob. 26PCh. 35 - Prob. 27PCh. 35 - Prob. 28PCh. 35 - Prob. 29PCh. 35 - Prob. 30PCh. 35 - Prob. 31PCh. 35 - Prob. 32PCh. 35 - Prob. 33PCh. 35 - Prob. 34PCh. 35 - Prob. 35PCh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38P
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- A particle in a one-dimensional box of length L has a kinetic energy much greater than its rest energy. What is the ratio of the following energy levels En: E2/E1, E3/ E1, E4/E1? How do your answers compare with the nonrelativistic case?arrow_forwardUnder the right circumstances, a photon of high enough energy can give rise to an electron-positron pair. What minimum energy photon is required?arrow_forwardHow does the relativistic landau energy spectrum for a particle in a magnetic field simplify down in the non-relativistic limit?arrow_forward
- A photon beam (2λ = 1.00 pm) is incident on a sphere with radius 1.00 mm. It has energy 100 MeV. a. Assuming that within the sphere there are 1000 type A-interactions, what is the cross section of this type-A interaction? b. Assuming that within the sphere there are 2000 type B-interactions, what is the cross section of this type-B interaction?arrow_forwardA pion and a proton can briefly join together to form a delta particle. A measurement of the energy of the system shows a peak at 1236 MeV, corresponding to the rest energy of the delta particle, with an experimental spread of 120 MeV. What is the lifetime of the delta particle?arrow_forwardAn Ω- particle has rest energy 1672 MeV and mean lifetime 8.2x10-11 s. It is created and decays in a particle track detector and leaves a track 24 mm long. What is the total energy of the Ω- particle?arrow_forward
- you have trapped neutrons in a box. What must be the size of the box if you measure photons of the same energy that you emit when the neutrons jump from the n=8 energy state back to ground state. Recall that body temperature is about 37 degrees celcius.arrow_forwardThe Z0 boson, discovered in 1985, is the mediator ofthe weak nuclear force, and it typically decays very quickly.Its average rest energy is 91.19 GeV, but its short lifetimeshows up as an intrinsic width of 2.5 GeV. What is the lifetime of this particle?arrow_forwardThe f meson has mass 1019.4 MeV/c2 and a measured energy width of 4.4 MeV/c2 . Using the uncertainty principle, estimate the lifetime of the f meson.arrow_forward
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