λ = h[m2/(m2 - n2)] ,where h is the same constant for all four lines and where m takes on whole-number values greater than 2 (that is, m = 3, 4, 5, and 6 respectively for the four lines in the visible spectrum).
1) Given the formula, determine the value of the constant h .
2) If the formula is valid, Balmer reasoned, then there may be additional lines in the hydrogen spectrum. Predict the wavelengths of the next five lines in this series (i.e., corresponding to the next five whole-number values of m).
3) Balmer speculated that there may be still other series of spectral lines that have wavelengths of:
λ = h[m2/(m2 - n2)] ,where n is a different whole number for each series and m takes on values of whole numbers greater than n. Thus the series we have worked with so far is the n = 2 series with m = 3, 4, 5, ... . What is the first wavelength in the n =1 series? The n = 3 series? In what part of the electromagnetic spectrum would these lines fall?
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