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7. There are actually 2 purple lines in hydrogens atomic spectra, one at 410 nm that is very hard to see and one at 436 nm.

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While doing these type of questions the only thing we need to do is For the given length we need to check the probability in different series.From the formulae try for n1=1 from higher states if wavelength we got is greater than the given  one there is a probability to be in that lymann series.In the problem for n=1 wavlength is less than the given one.So we need to move to n=2 for the first one wavelength we got greater than the given value in question.So the electronic transition mostly would have been in n=2 i.e Balmer series.

I have done the question below .

If something is not clear or need further clarification please feel free to comment here without hesitation.

o Given, we have two spectral lines ulonm & 430nm Asked to find electronic transition responsible for yonon. let us assume frwe will go for some high values nas to na * = - 0974% 109 m s ) xl.0974 x 107 Jx25 lo97ux lonx24 x = 0.9 ya x 10 x= au.ax loaren ,-2 = a( z ) * = -1.097X16 (c ) -OMTRÉ (26) 0974187 36 8x1oan xlor xa 4.102 xion x= ylo. 2x109 x= 410.2 non ? from nesto

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