(Very) Short Question on Nuclear Reaction

AI Thread Summary
In the discussion about the nuclear reaction X yielding Y + Z, the key point is the relationship between the masses of the particles involved. The original poster initially believes that choice C (Mx < My + Mz) is correct due to the principle of mass-energy equivalence, E=mc^2. However, they later reconsider and suggest that since the reaction occurs spontaneously, it implies a loss of mass, leading to the conclusion that Mx > My + Mz might be the correct relationship. This highlights the confusion surrounding the implications of mass loss in spontaneous nuclear reactions. Clarification on the correct mass relationship is sought to resolve this dilemma.
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Homework Statement



The nuclear reaction X yields Y + Z occurs spontaneously. If MX, MY, and MZ are the masses of the three particles, which of the following relationships is true?

A Mx - Mz < My
B Mx = Mz + My
C Mx < My + Mz
D Mx - My < Mz
E Mx > My + Mz

The Attempt at a Solution



I believe it is choice C because you know the nucleons mass must be greater than the nucleus because of E=mc^2 since they have more total energy... but A and D are equivelant mathematically...
 
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any help? need some clarification...
 
Alright, new perspective...

If it occurs spontaneously... there must be a loss of free energy right? So that must mean a loss of mass? Which means Mx > My + Mz?
 
this is antagonizing... any help?
 
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