If an electron makes atransition from the n = 6 Bohr orbit to the n= 2 orbit, de

Question

If an electron makes atransition from the n = 6 Bohr orbit to the n= 2 orbit, determine the wavelength of thephoton created in the process and assuming that the atom was initially at rest, determine therecoil speed of the hydrogen atom when this photon is emitted.Answer in units of m/s. thank you!! If an electron makes atransition from the n = 6 Bohr orbit to the n= 2 orbit, determine the wavelength of thephoton created in the process and assuming that the atom was initially at rest, determine therecoil speed of the hydrogen atom when this photon is emitted.Answer in units of m/s. thank you!! thank you!!

Explanation / Answer

energy of electron in H - atom                     En = -13.6eV / n^2 when an electron jump from n=6 to n=2 state energy ofthe photon emitted E'                  E'= E6 - E2 = -13.6eV [1/ 6^2 -1/ 2^2]                                     KE = mv^2 / 2 = E'^2 / 2mc^2                                      v = E'^2 /(mc)^2        v = velocity ofH-atom        m = massof proton      c = light velocity .         

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