46. Integrated Concepts(a) Calculate the relativistic quantity y =-forVī - v²1c²1.00-Tev protons produced at Fermilab. (b) If such a protoncreated a n* having the same speed, how long would its lifebe in the laboratory? (c) How far could it travel in this time?

a. the relativistic quantity gamma can be calculated using the expression of energy of the…

Answered: 46. Integrated Concepts (a) Calculate…

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Chapter33: Particle Physics

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Problem 46PE: Integrated Concepts Calculate the relativistic quantity for 1.00TeV protons produced at Fermilab....

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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?
Suppose a W created in a bubble chamber lives for What distance does it move in this time if it is traveling at 0.900 c? Since this distance is too short to make a track, the presence of the W must be inferred from its decay products. Note that the time is longer than the given W lifetime, which can be due to the statistical nature of decay or time dilation.
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. If the average lifetime of a proton was 1033 years, about how many protons would you have to assemble together and observe simultaneously to witness a total of 100 proton decays in one year? Explain the reasoning that led to your conclusion.
(a) A panicle and its antiparticle are at rest relative to an observer and annihilate (completely destroying both masses), creating two y rays of equal energy. What is the characteristic y -ray energy you would look for if searching for evidence of proton-antiproton annihilation? (The fact that such radiation is rarely observed is evidence that there is very little antimatter in the universe.) (b) How does this compare with the 0.511-MeV energy associated with electron-positron annihilation?
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Integrated Concepts 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?

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46. Integrated Concepts (a) Calculate the relativistic quantity y =- for Vī - v²1c² 1.00-Tev protons produced at Fermilab. (b) If such a proton created a n* having the same speed, how long would its life be in the laboratory? (c) How far could it travel in this time?