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danielatha4
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Homework Statement
A 67-Zn nucleus is at rest and in its first excited state, 93.3 keV above the ground state. The nucleus then decays to the ground state with the emission of a gamma ray. (One atomic mass unit is 931.5 MeV/c2.) What is the recoil speed of the nucleus? (You can assume non-relativistic motion, if needed.)
Homework Equations
Kz=Pz2/2m
Eg=Pgc
Eg+Kz=93.3 keV
Where Pz=Pg in magnitude
The Attempt at a Solution
There's no point for me to type everything I did, but I'll describe it. I solved for P2 in each equation and set them equal to each other:
Kz2m=Eg2/c2
then I used Eg+Kz=93.3 keV to substitute and I attempted to solve using the quadratic equation. However, a few times now I've gotten the Kz to be greater than 93.3keV by itself, which is obviously not right.