Comparing Binding Energy: Electron vs. Neutron

AI Thread Summary
The discussion focuses on calculating the binding energy ratio between electrons and nucleons in deuterium, specifically comparing the binding energy of an electron in hydrogen (13.4 eV) to that of a neutron. Participants express confusion about converting electron volts (eV) to the appropriate units for nucleons, particularly involving MeV and the speed of light squared. Clarification is sought on how to properly perform these conversions to establish the correct ratios. The conversion of 1 eV to MeV is noted, and the need to multiply by the appropriate factors is emphasized. The thread ultimately aims to determine which particle, the electron or neutron, is held more tightly based on these calculations.
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Homework Statement


The energy that binds an orbiting electron to the hydrogen nucleus is 13.4 eV. Calculate the ratio of the binding energy per nucleon to the binding per electron in deuterium. Which particle is held more tightly, the electron or the neutron?



Homework Equations


using ratios


The Attempt at a Solution


basically I am having trouble converting from electron volts to the correct units, i know i have to use ratios but what would eV be converted to ?
 
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the answer i get for deutrieum is (MeV/c^2)/ nucleon how would i convert this to the eV in order to get the correct ratios ( only thing confusing me is the square of the speed of light)
 
any help, would i just use the conversion 1eV= 10^-6 MeV , multiply by 10^-6 * 13.4 and use ratios??
 
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