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7 July, 10:31

A line in the Paschen series of hydrogen has a wavelength of 1010nm. From what state did the electron originate?

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  1. 7 July, 10:48
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    N1=3 (always)

    wavelength=1010/10^9 m=1.01/10^6 m (converted into metre)

    n2=?

    we have a formula

    1/wavelength = 1.09677x10^7[ (1/n1^2) - (1/n2^2) ]

    10^6/1.01 = 1.01677x10^7[1/9-1/n2^2]

    (9.174x10^5) / (1.09677x10^7) = 1/9-1/n2^2

    0.08365=0.1111-1/n2^2

    1/n2^2=0.1111-0.08365

    n2^2=1/0.02746

    n2=6

    means this electon's ground (original) state was n1=3. After gaining energy it went to n2=6 and when it came back to n1=3, it removed that energy which was seen in the form of spectral lines and these lines had a wavelength of 1010nm.

    the lines are observed in infrared region of the electromagnetic spectrum.
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