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

`\lambda=6.56x10^(-7)m`

Step-by-step 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:

`(1)/(\lambda) =R_H((1)/(n_f^2)-(1)/(n_i^2) )`

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

`(1)/(\lambda) =10973731.6m^(-1)((1)/(2^2)-(1)/(3^2) )\\\\(1)/(\lambda) =1524129.4m^(-1)\\\\\lambda=(1)/(1524129.4m^(-1)) \\\\\lambda=6.56x10^(-7)m`

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