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In the hydrogen spectrum, the series of lines called the Balmer series results from transitions to the n = 2 energy level. What is the longest wavelength in this series?

Question

In the hydrogen spectrum, the series of lines called the Balmer series results from transitions to the n = 2 energy level. What is the longest wavelength in this series?

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Step 1

The expression for the wavelength of the emitted or absorbed photon when an electron of an atom makes transition within different energy levels is:

 

Here, Z is the atomic number of the atom, n1 is the principle quantum number of the final energy level, n2 is the principle quantum number of the initial energy level from which the transition takes place, and R is the Rydberg constant.

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Step 2

For the hydrogen atom, Z=1.

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Step 3

The Balmer series represents the spectral series for which the lower en...

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