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Relative intensities of an elements spectral line

1. Why were the relative intensities of an element's spectral line not all the same?

2. The next corresponding hydrogen line in the Balmer series should be due to the n=7 to n=2 transition. Calculate the wavelength of this line and offer an explanatio on why this line could not be observed.

3. What is the longest wavelength in the balmer series that can be observed?

4. Considering all the possible transitions, how many different frequencies, i.e. spectral lines, can be produced when an electron shifts from the excited energy level of n=4 to the energy level n=1? show this on the energy level diagram of the hydrogen atom. bear in mind possible stops at the intervening energy levels, n=3 and 2.

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