Question

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

Answer 1

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:

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

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