The energy E of the electron in a hydrogen atom can be calculated from the Bohr

Question

The energy E of the electron in a hydrogen atom can be calculated from the Bohr formula E-- In this equation R, stands for the Rydberg energy, and in stands for the principal quantum number of the orbital that holds the electron. (You can find the value of the Rydberg energy using the Data button on the ALEKS toolbar.) Calculate the wavelength of the line in the absorption line spectrum of hydrogen caused by the transition of the electron from an orbital with n -1 to an orbital with n-3. Round your answer to 3 significant digits

Explanation / Answer

From the formula

1/lambda=R(1/nf^2 - 1/ni^2)

Where lamda is wavelength,

R is rydberg constant=1.097*10^7

nf is the final shell of electron and

ni is the initial of electron

We have 1/lamda=1.097*10^7(1/1^2 -1/3^2)

1/lambda=0.975*10^7

Lambda=1.02*10^-7m = wavelength

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