A hydrogen atom at rest in its first excited state emits aphoton and ends up in

Question

A hydrogen atom at rest in its first excited state emits aphoton and ends up in the ground state     a. How much momentum does the photon carryoff?     b. How much kinetic energy does thehydrogen atom acquire? Does this energy need to be taken intoaccount in determining the energy (and hence the frequency) of theemitted photon? Why or Why not?? A hydrogen atom at rest in its first excited state emits aphoton and ends up in the ground state     a. How much momentum does the photon carryoff?     b. How much kinetic energy does thehydrogen atom acquire? Does this energy need to be taken intoaccount in determining the energy (and hence the frequency) of theemitted photon? Why or Why not??

Explanation / Answer

A hydrogen atom at rest exiciter state(E2) emits aphoton ends up in the ground state(E1) E2-E1=h (a) h =mc2 h /c =mc ( devided with c) E/C =momentum momentum of hydrogen atom p=E/C E/C momentum photon carry off (b) K.E= 1/2mv2      K.E=1/2m2v2/m=p2/2m p2/2m=(E)2/2mc2 recoil enegy of the hydrogen atom is not part ofphotoelectric energy . so neednot be considerd.

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