Particles called muons exist in cosmic rays and can be created in particle accelerators. Muons are very similar to electrons, having the same charge and spin, but they have a mass 207 times greater. When muons arecaptured by an atom, they orbit just like an electron but with a smaller radius, since the mass in aB =0.529x 10-10 m is 207 me .(a) Calculate the radius of the n=1 orbit for a muon in a uranium ion( Z=92).(b) Compare this with the 7.5-fm radius of a uranium nucleus. Note that since the muon orbits inside the electron, it falls into a hydrogen-like orbit. Since your answer is less than the radius of the nucleus, you can seethat the photons emitted as the muon falls into its lowest orbit can give information about the nucleus.
Particles called muons exist in cosmic rays and can be created in particle accelerators. Muons are very similar to electrons, having the same charge and spin, but they have a mass 207 times greater. When muons arecaptured by an atom, they orbit just like an electron but with a smaller radius, since the mass in aB =0.529x 10-10 m is 207 me .(a) Calculate the radius of the n=1 orbit for a muon in a uranium ion( Z=92).(b) Compare this with the 7.5-fm radius of a uranium nucleus. Note that since the muon orbits inside the electron, it falls into a hydrogen-like orbit. Since your answer is less than the radius of the nucleus, you can seethat the photons emitted as the muon falls into its lowest orbit can give information about the nucleus.
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter5: Electron Configurations And The Periodic Table
Section: Chapter Questions
Problem 34QRT: Spectroscopists have observed He+ in outer space. This ion is a one-electron species like a neutral...
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Particles called muons exist in cosmic rays and can be created in particle accelerators. Muons are very similar to electrons, having the same charge and spin, but they have a mass 207 times greater. When muons are
captured by an atom, they orbit just like an electron but with a smaller radius, since the mass in aB =0.529x 10-10 m is 207 me .
(a) Calculate the radius of the n=1 orbit for a muon in a uranium ion( Z=92).
(b) Compare this with the 7.5-fm radius of a uranium nucleus. Note that since the muon orbits inside the electron, it falls into a hydrogen-like orbit. Since your answer is less than the radius of the nucleus, you can see
that the photons emitted as the muon falls into its lowest orbit can give information about the nucleus.
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