Experimentally, the most precise measurement of the proton radius comes from the PSI experiment: R = 0.84184 (67) × 10-13 cm. [R. Pohl et al., "The size of the proton," Nature 466, 213 (2010).] This measurement is controversial, since it differs by 4% from the CODATA world average (R=0.8768 (69) x 10-13 cm). Putting the controversy aside, explain why the PSI experiment could get such impressive accuracy using muonic hydrogen (a muon- proton bound state) instead of ordinary hydrogen (an electron-proton bound state). [Hint: The muon is 206.8 times heavier than the electron.] Mark all of the following that are true: The Bohr radius for muonic hydrogen is much larger than in normal hydrogen The Bohr radius for muonic hydrogen is much smaller than in normal hydrogen The charge of a muon is much larger than the charge of an electron Muons and protons interact by forces other than electromagnetism, so the potential is qualitatively different Muonic hydrogen cannot form > 0 states Muonic hydrogen is much larger than normal hydrogen Muonic hydrogen is much smaller than normal hydrogen

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Experimentally, the most precise measurement of the proton radius comes
from the PSI experiment:
R=0.84184 (67) ×
10-13 cm.
[R. Pohl et al., "The size of the proton," Nature 466, 213 (2010).] This measurement is
controversial, since it differs by 4% from the CODATA world average
-13
(R=0.8768 (69) × 107 cm). Putting the controversy aside, explain why the PSI
experiment could get such impressive accuracy using muonic hydrogen (a muon-
proton bound state) instead of ordinary hydrogen (an electron-proton bound
state). [Hint: The muon is 206.8 times heavier than the electron.] Mark all of the
following that are true:
The Bohr radius for muonic hydrogen is much larger than in normal
hydrogen
The Bohr radius for muonic hydrogen is much smaller than in normal
hydrogen
The charge of a muon is much larger than the charge of an electron
Muons and protons interact by forces other than electromagnetism, so the
potential is qualitatively different
Muonic hydrogen cannot form > 0 states
Muonic hydrogen is much larger than normal hydrogen
Muonic hydrogen is much smaller than normal hydrogen
Transcribed Image Text:Experimentally, the most precise measurement of the proton radius comes from the PSI experiment: R=0.84184 (67) × 10-13 cm. [R. Pohl et al., "The size of the proton," Nature 466, 213 (2010).] This measurement is controversial, since it differs by 4% from the CODATA world average -13 (R=0.8768 (69) × 107 cm). Putting the controversy aside, explain why the PSI experiment could get such impressive accuracy using muonic hydrogen (a muon- proton bound state) instead of ordinary hydrogen (an electron-proton bound state). [Hint: The muon is 206.8 times heavier than the electron.] Mark all of the following that are true: The Bohr radius for muonic hydrogen is much larger than in normal hydrogen The Bohr radius for muonic hydrogen is much smaller than in normal hydrogen The charge of a muon is much larger than the charge of an electron Muons and protons interact by forces other than electromagnetism, so the potential is qualitatively different Muonic hydrogen cannot form > 0 states Muonic hydrogen is much larger than normal hydrogen Muonic hydrogen is much smaller than normal hydrogen
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