Electron capture is a variant on beta-radiation. The lightest nucleus to decay by electron capture is "Be -- beryllium-7. The daughter nucleus is Li -- lithium-7. The electron is transformed into a massless particle (a neutrino): e +"Be+ → 7Li + v The initial electron is bound in the atom, so the beryllium mass includes the electron. In fact, since the electron starts bound in the atom, a more-accurate statement of the nuclear reaction is probably: "Be → "Li +v The masses are beryllium: 7.016929 u, and lithium: 7.016003 u, and refer to the neutral atom as a whole. (Use uc and uc? as your momentum and energy units -- but carry them along in your calculation.) The initial beryllium atom is stationary. Calculate the speed of the final lithium nucleus in km/s. (You will make life much easier for yourself if you recognize that practically all the energy released goes into the lighter particle. c= 300,000 km/s)

Electron capture is a variant on beta-radiation. The lightest nucleus to decay by electron capture is "Be -- beryllium-7. The daughter nucleus is Li -- lithium-7. The electron is transformed into a massless particle (a neutrino): e +"Be+ → 7Li + v The initial electron is bound in the atom, so the beryllium mass includes the electron. In fact, since the electron starts bound in the atom, a more-accurate statement of the nuclear reaction is probably: "Be → "Li +v The masses are beryllium: 7.016929 u, and lithium: 7.016003 u, and refer to the neutral atom as a whole. (Use uc and uc? as your momentum and energy units -- but carry them along in your calculation.) The initial beryllium atom is stationary. Calculate the speed of the final lithium nucleus in km/s. (You will make life much easier for yourself if you recognize that practically all the energy released goes into the lighter particle. c= 300,000 km/s)

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter14: Nuclear Physics Applications

Section: Chapter Questions

Problem 27P

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Electron capture is a variant on beta-radiation. The lightest nucleus to decay by
electron capture is "Be -- beryllium-7. The daughter nucleus is Li -- lithium-7. The
electron is transformed into a massless particle (a neutrino):
e +"Be+ → 7Li + v
The initial electron is bound in the atom, so the beryllium mass includes the electron.
In fact, since the electron starts bound in the atom, a more-accurate statement of the
nuclear reaction is probably:
"Be → "Li +v
The masses are beryllium: 7.016929 u, and lithium: 7.016003 u, and refer to the neutral
atom as a whole. (Use uc and uc? as your momentum and energy units -- but carry them
along in your calculation.)
The initial beryllium atom is stationary. Calculate the speed of the final lithium
nucleus in km/s. (You will make life much easier for yourself if you recognize that
practically all the energy released goes into the lighter particle. c= 300,000 km/s)

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