Calculate the wavelength of the spectral line, when an electron in the hydrogen atom undergoes a transition from the energy level 4 to energy level 2. R H = 109678 c m − 1 A. 486 nm B. 554 nm C. 386 nm D. 427 nm

Question

Calculate the wavelength of the spectral line, when an electron in the hydrogen atom undergoes a transition from the energy level 4 to energy level 2.      R    H    =  109678  c      m          −      1       A. 486 nm B. 554 nm C. 386 nm D. 427 nm

Magdalena Anthony · Accepted Answer

By applying the formula,      1          λ        =      R    H    (      1          n      1      2        −      1          n      2      2        )where λ is the wavelength      R    H    =  109678  c      m          −      1        ;      n    1    =  2  ;      n    2    =  4        1          λ        =  109678  [      1    4    −      1    16    ]    =  109678  ×      3    16   On solving,       λ    =  486  n  m

Calculate the wavelength of the spectral line, when an electron in the hydrogen atom undergoes a transition from the energy level 4 to energy level 2.R_H=109678 cm^(−1) A. 486 nm B. 554 nm C. 386 nm D. 427 nm

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