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https://texercises.com/exercise/stability-of-beryllium-and-carbon/
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Exercise:
abcliste abc Show that the nucleus isotopeBe mBO is unstable and will decay o two upalpha particles mHO. abc Is isotopeC exactly mCO by definition stable against decay o three upalpha particles? Show why or why not. abcliste

Solution:
abcliste abc The mass difference between left and right is: SolQtyadmmBX-*mHXu SolQtyadmkadmX*ncunkg SolQtyadmvadmkX*nccn^/e/ncenMeVpcq Delta m MisotopeBe - MisotopeHe mBO - mHO adm admk admv Because the mass difference is positive it means mass needs to be created i.e. energy was produced i.e. the reaction ts to happen spontaneous i.e. Beryllium is unstable. abc The binding enregy of this Carbon isotope considered consisting of Helium atoms is: SolQtybdmmCX-*mHXu SolQtybdmkbdmX*ncunkg SolQtybdmvbdmkX*nccn^/e/ncenMeVpcq Delta m MisotopeC - MisotopeHe mCO - mHO bdm bdmk bdmv Because the massdifference is negative i.e. the left side is lighter than the right side it means mass got produced in the reaction i.e. energy is needed i.e. the reaction can't happen spontaneous i.e. Carbon is stable. abcliste
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Exercise:
abcliste abc Show that the nucleus isotopeBe mBO is unstable and will decay o two upalpha particles mHO. abc Is isotopeC exactly mCO by definition stable against decay o three upalpha particles? Show why or why not. abcliste

Solution:
abcliste abc The mass difference between left and right is: SolQtyadmmBX-*mHXu SolQtyadmkadmX*ncunkg SolQtyadmvadmkX*nccn^/e/ncenMeVpcq Delta m MisotopeBe - MisotopeHe mBO - mHO adm admk admv Because the mass difference is positive it means mass needs to be created i.e. energy was produced i.e. the reaction ts to happen spontaneous i.e. Beryllium is unstable. abc The binding enregy of this Carbon isotope considered consisting of Helium atoms is: SolQtybdmmCX-*mHXu SolQtybdmkbdmX*ncunkg SolQtybdmvbdmkX*nccn^/e/ncenMeVpcq Delta m MisotopeC - MisotopeHe mCO - mHO bdm bdmk bdmv Because the massdifference is negative i.e. the left side is lighter than the right side it means mass got produced in the reaction i.e. energy is needed i.e. the reaction can't happen spontaneous i.e. Carbon is stable. abcliste
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Attributes & Decorations
Branches
Work, Energy, Power
Tags
alpha-strahlung, binding, decay, energy, nuclear-physics, nucleus, physics, radioactivity, stability
Content image
Difficulty
(2, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration