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It may be important to remember that the Lyman is UV & Balmer is visible, because I noticed that in one textbook problem it says "in the UV region" but never says Lyman or n1=1, but the problem solution requires you to recognize that UV means n1=1. However, I can't see the other two being important if they were never covered in the textbook/lecture.
Yes, I agree. I don't think we're expected to know the Paschen or Brackett series. However, I would memorize that for the Lyman series, all of the spectral lines go down to the energy level of n=1. For the Balmer series, all of the spectral lines go down to the energy level of n=2. Therefore, when solving problems with the Rydberg equation, you will plug in 1 (for the lower energy n) for the Lyman series and you will plug in 2 for the Balmer series. Also, I would know that the Lyman series is associated with ultraviolet radiation and the Balmer series is associated with visible light. Hope that helps!
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