In a hydrogen atom, the ratio of the wavelength of the first line of the Lyman series to the de Broglie wavelength of the electron in the ground state, in terms of the Rydberg constant R and Bohr radi

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In a hydrogen atom, the ratio of the wavelength of the first line of the Lyman series to the de Broglie wavelength of the electron in the ground state, in terms of the Rydberg constant R and Bohr radius r , is

TestHub · Accepted Answer

First Lyman line: λ L ​ 1 ​ = R ( 1 − 4 1 ​ ) ⇒ λ L ​ = 3 R 4 ​ . Ground state: λ d B ​ = 2 π r . Ratio = 2 π r 4/ ( 3 R ) ​ = 3 π r R 2 ​ .

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