Physics Exam > Physics Questions > A pion at rest decays into a muon and a neutr...
Start Learning for Free
A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m?
Most Upvoted Answer
A pion at rest decays into a muon and a neutrino. Find the energy of t...
- **Given data:**
- Mass of pion (mπ) = mπ
- Mass of muon (mμ) = mμ
- **Conservation of energy:**
When the pion decays into a muon and a neutrino, the total energy before the decay is equal to the total energy after the decay.
- Therefore, the energy of the incoming pion (Eπ) is equal to the sum of the energies of the outgoing muon (Eμ) and the neutrino.
- **Energy of the pion:**
Eπ = √(p2 + mπ2)
- **Momentum conservation:**
Since the pion is at rest, its initial momentum is zero. Therefore, the momentum of the muon and neutrino after the decay must cancel out to zero.
- **Energy of the muon:**
Eμ = Eπ - Eν
Eμ = Eπ - √(p2 + mν2)
- **Substitute the values:**
Eμ = √(mπ2) - √(p2 + mν2)
- **Simplify the expression using the masses of muon and neutrino:**
Eμ = mμ - √(p2 + mν2)
- **This is the energy of the outgoing muon after the decay of the pion.**
- Mass of pion (mπ) = mπ
- Mass of muon (mμ) = mμ
- **Conservation of energy:**
When the pion decays into a muon and a neutrino, the total energy before the decay is equal to the total energy after the decay.
- Therefore, the energy of the incoming pion (Eπ) is equal to the sum of the energies of the outgoing muon (Eμ) and the neutrino.
- **Energy of the pion:**
Eπ = √(p2 + mπ2)
- **Momentum conservation:**
Since the pion is at rest, its initial momentum is zero. Therefore, the momentum of the muon and neutrino after the decay must cancel out to zero.
- **Energy of the muon:**
Eμ = Eπ - Eν
Eμ = Eπ - √(p2 + mν2)
- **Substitute the values:**
Eμ = √(mπ2) - √(p2 + mν2)
- **Simplify the expression using the masses of muon and neutrino:**
Eμ = mμ - √(p2 + mν2)
- **This is the energy of the outgoing muon after the decay of the pion.**
|
Explore Courses for Physics exam
|
|
Similar Physics Doubts
A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m?
Question Description
A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m?.
A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m?.
Solutions for A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m? in English & in Hindi are available as part of our courses for Physics.
Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m? defined & explained in the simplest way possible. Besides giving the explanation of
A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m?, a detailed solution for A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m? has been provided alongside types of A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m? theory, EduRev gives you an
ample number of questions to practice A pion at rest decays into a muon and a neutrino. Find the energy of the outgoing muon (E) in of the mass of the pion im) and the mass of muen) (m? tests, examples and also practice Physics tests.
|
|
Explore Courses for Physics exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup