What is the wavelength of spectral line resulted from the electron transition from n=3 to n=2 in a hydrogen atom.

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What is the wavelength of spectral line resulted from the electron transition from n=3 to n=2 in a hydrogen atom.

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niczorrrr 4 years 2021-08-28T00:24:17+00:00 1 Answers 17 views 0

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  1. Maris
    0
    2021-08-28T00:25:42+00:00
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    Answer:

    \lambda=6.56x10^{-7}m

    Explanation:

    Hello there!

    In this case, it possible to use the Rydberg equation in order to calculate the wavelength for this transition from n=3 to n=2 as shown below:

    \frac{1}{\lambda} =R_H(\frac{1}{n_f^2}-\frac{1}{n_i^2} )

    Thus, we plug in the corresponding energy levels and the Rydberg constant to obtain:

    \frac{1}{\lambda} =10973731.6m^{-1}(\frac{1}{2^2}-\frac{1}{3^2} )\\\\\frac{1}{\lambda} =1524129.4m^{-1}\\\\\lambda=\frac{1}{1524129.4m^{-1}} \\\\\lambda=6.56x10^{-7}m

    Best regards!

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