1, + -/4 points SerPSE9 42.P.001 The wavelengths of the Lyman series for hydroge
ID: 1402536 • Letter: 1
Question
1, + -/4 points SerPSE9 42.P.001 The wavelengths of the Lyman series for hydrogen are given by = RH(1 ) n = 2,3,4, (a) Calculate the wavelengths of the first three lines in this series nm nm nm (b) Identify the region of the electromagnetic spectrum in which these lines appear. radio microwave infrared visible ultraviolet x-ray gamma ray Need Help?Read It Submit Answer Save Progress Submit AnswerSave Progress 2. + 3 points SerPSE9 42·P.011 A photon is emitted when a hydrogen atom undergoes a transition from the n = 8 state to the n = 2 state. (a) Calculate the energy of the emitted photon ev (b) Calculate the wavelength of the emitted photon (c) Calculate the frequency of the emitted photon Hz Need Help?Read ItExplanation / Answer
2)
a) Energy of emitted photon, E = 13.6 eV*(1/n2^2 - 1/n1^2)
= 13.6 eV*(1/2^2 - 1/8^2)
= 3.1875 eV
b) Apply, E = h*c/lamda (here h is plank's constant, c is light pseed and lamda is wavelength)
==> lamda = (h*c)/E
= (6.625*10^-34*3*10^8)/(3.1875*1.6*10^-19)
= 38.97 micro m
c) Apply, c = lamda*f
==> f = c/lamda
= 3*10^8/(38.97*10^-6)
= 7.698*10^12 Hz
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