The shortest wavelength of the spectral lines in the Lyman series of hydrogen spectrum is 915 A ~ … . The longest wavelength of spectral lines in the Balmer series will be _____ A ~ … .

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Shortest, λ hc ​ = − 13.6 ( n 1 2 ​ 1 ​ − n 2 2 ​ 1 ​ ) λ ↓ E ↑ ; λ 0 ​ hc ​ = − 13.6 ( 1 ) Balmer Series : ​ λ 1 ​ hc ​ = − 13.6 ( 2 2 1 ​ − 3 2 1 ​ ) λ 1 ​ hc ​ = − 13.6 ( 4 1 ​ − 9 1 ​ ) ​ ​ λ 1 ​ hc ​ = − 13.6 × ( 36 5 ​ ) ⇒ λ 1 ​ − 13.6 λ 0 ​ ​ = − 13.6 × 36 5 ​ λ 1 ​ = 5 λ 0 ​ × 36 ​ = 5 915 × 36 ​ = 6588 ​

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