A hydrogen – like atom (described by the Bohr mode

Question

A hydrogen – like atom (described by the Bohr model) is observed to emit six wavelengths, originating from all possible transitions between a group of levels. These levels both these values). (a) Find the atomic number of the atom.(b) Calculate the smallest wavelength emitted in these transitions.(Take hc = 1240 eV-nm, ground state energy of hydrogen atom = -13.6 eV)

Navjyot Kalra · Accepted Answer

Hello Student,Please find the answer to your question(a) If x is the difference in quantum number of the states than x+1C2 = 6 &rArr; x = 3Now, we have &ndash;z2 (13.6eV) / n2 = - 0.85eV &hellip;(i)And &ndash;z2 (13.6 eV) / (n + 3)2 = - 0.544 eV &hellip;(ii)Solving (i) and (ii) we get n = 12 and z = 3(b) Smallest wavelength &lambda; is given byhc / &lambda; = (0.85 &ndash; 0.544) eVSolving, we get &lambda; = 4052 nm.ThanksNavjot KalraaskIITians Faculty

Modern Physics> A hydrogen – like atom (described by the ...

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Navjyot Kalra

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Amit Saxena , 10 Years ago

Navjyot Kalra

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