Calculate the wavelength and frequency of limiting line of lyman serie

1.	Calculate the wavelength and frequency of limiting line of lyman series
Answer» As said by Namrata, the limiting wavelength in the Lyman series can be calculated by using the Rydberg formula. The Rydberg formula is given as\xa0For the Lyman series, n1\xa0= 1 and n2\xa0= 2,3....The above formula can be further simplified as 1 / λ = (R\xa0H\xa0/ hc) [(1/ n12\xa0) - (1/ n22\xa0)]Therefore for the limiting wavelength, n2\xa0will be ∞, so ( 1 / n2) will be zero. The Rydberg Formula will now be\xa0\xa01 / λ = (R\xa0H\xa0/ hc) [(1/ n12\xa0)]Now RH\xa0has the value of 2.18X10–18\xa0J, h that is Planck\'s constant has the value of 6.63 X 10-34\xa0Js, c that is the speed of light has the value 3 X 108\xa0ms-1\xa0and n1has the value 1. Substituting these values in the above relation and solving for λ, we get\xa0\xa0λ = 9.12 X 10-8\xa0m.\xa0So the limiting wavelength will be 9.12 X 10-8\xa0m.\xa0

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