PHYSICS FOR SCIEN & ENGNR W/MOD MAST
4th Edition
ISBN: 9780134112039
Author: GIANCOLI
Publisher: PEARSON
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Question
Chapter 43, Problem 48GP
(a)
To determine
The amount of energy released when an electron and a positron annihilate each other.
(b)
To determine
The amount of energy released when a proton and an antiproton annihilate each other.
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Students have asked these similar questions
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.
Consider a collider in which protons, rest mass 938.3 MeV/c², that are moving in the +x
direction with a kinetic energy of 10 GeV are made to collide with antiprotons of an equal
energy that are moving in the x direction.
ii) What is the speed of the protons as measured in the laboratory?
iii) What is the highest mass particle that could be created in a collision of a proton
and antiproton?
Now consider a fixed target experiment in which a beam of antiprotons is made incident
upon a stationary proton target.
iv) Use the Lorentz velocity transformation to determine the antiproton speed required.
for the fixed target experiment to have the same particle creation capability as the
collider.
v) Convert this speed to a kinetic energy and comment on the result in the context of
the use of colliders or fixed target devices for high energy physics.
When a proton and an antiproton annihilate, the resulting energy can be used to create new particles. One possibility is the creation of electrically neutral particles called neutral pions. A neutral pion has a rest mass of 135 MeV/c2. How many neutral pions could be produced in the annihilation of a proton and an antiproton? Assume the proton and antiproton are moving very slowly as they collide.
Chapter 43 Solutions
PHYSICS FOR SCIEN & ENGNR W/MOD MAST
Ch. 43.1 - Prob. 1AECh. 43.2 - Prob. 1CECh. 43.9 - Prob. 1DECh. 43.9 - Prob. 1EECh. 43 - Prob. 1QCh. 43 - If a proton is moving at very high speed, so that...Ch. 43 - Prob. 3QCh. 43 - Prob. 4QCh. 43 - Prob. 5QCh. 43 - Prob. 6Q
Ch. 43 - Prob. 7QCh. 43 - Prob. 8QCh. 43 - Prob. 9QCh. 43 - Prob. 10QCh. 43 - Prob. 11QCh. 43 - Prob. 12QCh. 43 - Prob. 13QCh. 43 - Prob. 14QCh. 43 - Prob. 15QCh. 43 - Prob. 16QCh. 43 - Prob. 17QCh. 43 - Prob. 18QCh. 43 - Prob. 19QCh. 43 - Prob. 20QCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4PCh. 43 - Prob. 5PCh. 43 - Prob. 6PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 11PCh. 43 - Prob. 12PCh. 43 - Prob. 13PCh. 43 - Prob. 14PCh. 43 - Prob. 15PCh. 43 - Prob. 16PCh. 43 - Prob. 17PCh. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 22PCh. 43 - Prob. 23PCh. 43 - Prob. 24PCh. 43 - Prob. 25PCh. 43 - Prob. 26PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 31PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 34PCh. 43 - Prob. 35PCh. 43 - Prob. 36PCh. 43 - Prob. 37PCh. 43 - Prob. 38PCh. 43 - Prob. 39PCh. 43 - Prob. 40PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 43PCh. 43 - Prob. 44PCh. 43 - Prob. 45PCh. 43 - Prob. 46GPCh. 43 - Prob. 47GPCh. 43 - Prob. 48GPCh. 43 - Prob. 49GPCh. 43 - Prob. 50GPCh. 43 - Prob. 51GPCh. 43 - Prob. 52GPCh. 43 - Prob. 53GPCh. 43 - Prob. 54GPCh. 43 - Prob. 55GPCh. 43 - Prob. 56GPCh. 43 - Prob. 57GPCh. 43 - Prob. 58GPCh. 43 - Prob. 59GPCh. 43 - Prob. 60GPCh. 43 - Prob. 61GPCh. 43 - Prob. 62GPCh. 43 - Prob. 63GPCh. 43 - Prob. 64GPCh. 43 - What fraction of the speed of light c is the speed...Ch. 43 - Prob. 66GPCh. 43 - Prob. 67GP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A pion at rest (m = 273me) decays to a muon (m = 207me) and an antineutrino (mp 0). The reaction is written + v. Find (a) the kinetic energy of the muon and (b) the energy of the antineutrino in electron volts.arrow_forward(a) The following decay is mediated by the electroweak force: pn+e++ve Draw the Feynman diagram for the decay. (b) The following scattering is mediated by the electroweak force: ve+eve+e Draw the Feynman diagram for the scattering.arrow_forwardWhen an electron and positron collide at the SLAC facility, they each have 50.0-GeV kinetic energies. What is the total collision energy available, taking into account the annihilation energy? Note that the annihilation energy is insignificant, because the electrons are highly relativistic.arrow_forward
- Suppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y? (b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y, how long would you have to wait on an average to see a single proton decay?arrow_forwardWhat is the energy of each photon produced by positron– electron annihilation? (a) 1/2 mev2 , where v is the speed of the emitted positron; (b) mev2 ; (c) 1/2 mec2 ; (d) mec2 .arrow_forwardWhen an electron and a positron meet at low speed in empty space, they annihilate each other to produce two 0.511 MeV gamma rays. What conservation law would be violated if they produced one gamma-ray with an energy of 1.02 MeV? (a) energy (b) momentum (c) charge (d) baryon number (e) electron-lepton numberarrow_forward
- A sphere of matter and a sphere of antimatter (both at rest) can annihilate releasing 0.9· 1030 MeV of energy. Given that both spheres have the same mass, what is the mass in kg of each sphere?arrow_forwardSuppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y ?(b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y , how long would you have to wait on anaverage to see a single proton decay?arrow_forwardYou work for a start-up company that is planning to use antiproton annihilation to produce radioactive isotopes for medical applications. One way to produce antiprotons is by the reaction p + p S p + p + p + p bar in proton-proton collisions. (a) You first consider a colliding-beam experiment in which the two proton beams have equal kinetic energies. To produce an antiproton via this reaction, what is the required minimum kinetic energy of the protons in each beam? (b) You then consider the collision of a proton beam with a stationary proton target. For this experiment, what is the required minimum kinetic energy of the protons in the beam?arrow_forward
- CERN can accelerate protons up to 99.9999991% of the speed of light. What is the γ factor for these protons?arrow_forwardA proton‑antiproton annihilation takes place, leaving two photons with a combined energy of 3.50 GeV. Find the kinetic energy Kp of the proton if the proton had the same kinetic energy as the antiproton. Kp = ? eV Find the kinetic energy K'p of the proton if the proton had 3.25 times as much kinetic energy as the antiproton. K'p = ? eVarrow_forwardTwo protons collide to form an antiproton. Suppose the two protons collide head-on with equal speeds. (a) In this frame of reference, what is the threshold energy? (b) Find the velocity corresponding to the threshold energy. (c) Now transform to a frame of reference in which one of the initial protons is at rest, and find the speed and the energy of the other proton.arrow_forward
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