Friday, February 3, 2012

What is the decrease in mass, delta mass Xe , of the xenon nucleus as a result of this decay?

The newly formed xenon nucleus is left in an excited state. Thus, when it decays to a state of lower energy a gamma ray is emitted. If the wavelength of the emitted gamma ray is 3.44脳10^鈭?2 , what is the decrease in mass, delta mass Xe , of the xenon nucleus as a result of this decay?



Take into account



Mass of Xe is 130.90508 u .What is the decrease in mass, delta mass Xe , of the xenon nucleus as a result of this decay?
Using the wavelength of the gamma ray, find the frequency using c = freq*wavelength.



Then with the frequency, find the energy emitted using equation E = freq*Plank's constant



With this energy, convert into MeV from joules.



With the energy in MeV, use E=mc^2 using c^2 = 931.5 MeV/u.



Plugging and computing all necessary numbers gives you 3.87*10^-4 u.

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