A nucleus whose mass is 3.732752 x 10-25 kg undergoes spontaneous "alpha" decay. The original nucleus disappears and there appear two new particles: a He-4 nucleus of mass 6.640678x10-27 kg (an "alpha particle" consisting of two protons and two neutrons) and a new nucleus of mass 3.666199 x 10-25 kg (note that the new nucleus has less mass than the original nucleus, and it has two fewer protons and two fewer neutrons). In these calculations, it is very important to keep at least 7 figures in your intermediate calculations. (a) when the alpha particle has moved far away from the new nucleus (so the electric interactions are negligible), what is the combined kinetic energy of the alpha particle and new nucleus? Kalpha Knucleus -6.640678*10-2x) (b) How many electron volts is this? Kalpha + Knucleus = ev In contrast to this nuclear reaction, chemical reactions typically involve only a few eV.

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
Chapter15: Elementary Particles
Section: Chapter Questions
Problem 35P
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A nucleus whose mass is 3.732752 x 10-25 kg undergoes spontaneous "alpha" decay. The original nucleus disappears and there appear two new particles: a He-4 nucleus of mass 6.640678x10-27 kg (an "alpha particle" consisting of two protons and two
neutrons) and a new nucleus of mass 3.666199 x 10-25 kg (note that the new nucleus has less mass than the original nucleus, and it has two fewer protons and two fewer neutrons).
In these calculations, it is very important to keep at least 7 figures in your intermediate calculations.
(a) when the alpha particle has moved far away from the new nucleus (so the electric interactions are negligible), what is the combined kinetic energy of the alpha particle and new nucleus?
Kalpha Knucleus -6.640678*10-2x)
(b) How many electron volts is this?
Kalpha + Knucleus =
ev
In contrast to this nuclear reaction, chemical reactions typically involve only a few eV.
Transcribed Image Text:A nucleus whose mass is 3.732752 x 10-25 kg undergoes spontaneous "alpha" decay. The original nucleus disappears and there appear two new particles: a He-4 nucleus of mass 6.640678x10-27 kg (an "alpha particle" consisting of two protons and two neutrons) and a new nucleus of mass 3.666199 x 10-25 kg (note that the new nucleus has less mass than the original nucleus, and it has two fewer protons and two fewer neutrons). In these calculations, it is very important to keep at least 7 figures in your intermediate calculations. (a) when the alpha particle has moved far away from the new nucleus (so the electric interactions are negligible), what is the combined kinetic energy of the alpha particle and new nucleus? Kalpha Knucleus -6.640678*10-2x) (b) How many electron volts is this? Kalpha + Knucleus = ev In contrast to this nuclear reaction, chemical reactions typically involve only a few eV.
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