Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 24 Medium Difficulty

A hydrogen atom initially at rest in the $n=3$ state decays to the ground state with the emission of a photon. (a) Calculate the wavelength of the emitted photon. (b) Estimate the recoil momentum of the atom and the kinetic energy of the recoiling atom. Where does this energy come from?

Answer

(a) $\lambda=102.57 \mathrm{nm}$
(b) $p=12.089 \mathrm{eV} / \mathrm{c}$ and $K=7.79 \times 10^{-8} \mathrm{eV}$.

Discussion

You must be signed in to discuss.

Video Transcript

for the hydrogen atom emitted to the downstate from n equals three. Where's that will be given by article are times one over Final ST minus one over in sheer straight squared and from here, the Western It would be found to be 102.53 not a leader using E equals eight c over Lambda. That corresponding energy will be tres boring to Juan Juan E. V. And momentum is e over C, which would be who has born 11 e v oversee. Now the record kind of energy with given by k equals B squared over two and equals West Point. Want mourn E V. O. R. C. Square, divided by two dimes. Mass is 9 38. Time stands about six IV E over C squared equals seventh or in 675 you nectar involved. Well, time stand to the minus 80 Electron voltage hard 76.75 Nano Electron