An 16 Onucleus has an excited state 6.13 MeV above the ground state. It emits a

Question

An 16Onucleus has an excited state 6.13 MeV above the ground state. It emits a gamma. The available energy is dividedbetween the kinetic energy of the recoiling nucleus and the energyof the gamma. What is the energy of the gamma?(this part Ianswer already)
How much are gamma energies shifted if the decayingnucleus is moving? Suppose the oxygen nucleus in the previousquestion is moving with a kinetic energy of 3 MeV before itemits the gamma. What range of gamma energies willbe produced?
How much are gamma energies shifted if the decayingnucleus is moving? Suppose the oxygen nucleus in the previousquestion is moving with a kinetic energy of 3 MeV before itemits the gamma. What range of gamma energies willbe produced? How much are gamma energies shifted if the decayingnucleus is moving? Suppose the oxygen nucleus in the previousquestion is moving with a kinetic energy of 3 MeV before itemits the gamma. What range of gamma energies willbe produced?

Explanation / Answer

Now if the nucleus is moving. We can clearly see that conservationof energy and momentum is useable. But for this problem it is toocomplicated. ----- If the nucleus in part b is moving then we can make it stop byseeing in the frame of the nucleus. so. in the frame of the nucleus, the nucleus emitted a gamma isexcatly like part a. frequency of light emitted is the same as part a in the frame ofthe nucleus. so all we need to do now is to calculate energy of light in initialframe. (while knowing its energy in a different frame). This can be accomplish by using Lorrent equation of energy or usingdopple effect (relativity)

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