Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Answer:
The total energy that an electron and positron share is 5 Mev
Explanation:
One of the potential ways that gamma rays interact with matter is by the formation of positron-electron pairs.
The pair production requires a minimum gamma-energy of 1.02 MeV since an electron's rest mass is equal to 0.511 MeV of energy. The electron-positron pair receives any extra kinetic energy from the pair-producing gamma ray.
The reaction is represented by γ =(. - 1e⁰) + (. + 1e⁰)
E = m₀C² + [tex]KE_{electron}[/tex] + m₀C² + [tex]KE_{positron}[/tex]
10 MeV = 2m₀C² + [tex]KE_{electron}[/tex] + [tex]KE_{positron}[/tex]
[ 2m₀C²= 1.02 ] and since the mass of electron and positron is the same, the Kinetic energy (KE), 1/2 mv² will also be the same
Therefore,
KE = 1/2(10 - 1.02)
=4.49 MeV
[ 2m₀C²= 1.02 so, m₀C² = 1.02/ 2 = 0.51]
Total energy shared = m₀C² + KE
= 0.51 + 4.49
= 5 Mev
Learn more about the total energy of an electron and positron here
https://brainly.com/question/1615969
#SPJ4
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.