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    Line, Wavelength, State of Origination and Region

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    A line in the Brackett series of hydrogen has a wavelength of 4052 nm. From what state did the electron originate?
    n_1 = ________

    In what region of the electromagnetic spectrum is this line observed?
    __ radio
    __ gamma rays
    __ microwaves
    __ ultraviolet
    __ infrared
    __ visible
    __ X rays

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    Solution Preview

    Use the Rydberg equation:
    1/lambda = R (1/n12 - 1/n22)
    R = Rydberg constant = 1.097 x 107 m-1
    lambda = wavelength in meter
    n2 > n1
    Converting ...

    Solution Summary

    This solution shows how to calculate the state an electron originated in and how to figure out the region of the electromagnetic spectrum that this line is observed in.