For any given series of spectral lines of atomic hydrogen, let $\Delta\overset{-}{v} = {\overset{-}{v}}_\max - {\overset{-}{v}}_\min$ be the difference in maximum and minimum wave number in $c{m}^{- 1}$ .
The ratio $\Delta{\overset{-}{v}}_{Lyman} / \Delta{\overset{-}{v}}_{Balmar}$ is

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For any given series of spectral lines of atomic hydrogen, let Δ - v = - v _ - - v _ be the difference in maximum and minimum wave number in c m ^ - 1 . The ratio Δ - v _ Lyman / Δ - v _ Balmar is

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Correct answer: D. 9: 4

= ( v _ max - v _ min ) _ lyman ( v _ - v _ ) _ Balmar ∵ ν = (1)/(λ) = (E)/(ch) = ( E _ - E _ ) _ lyman ( E _ - E _ ) _ Balmar E = hν , ν = (E)/(h) = E _ 1 → ∞ - E _ 1 → 2 E _ 2 → ∞ - E _ 2 → 3 = (13.6((1)/(1) - (1)/(∞)) - 13.6((1)/(1) - (1)/(4)))/(13.6((1)/(4) - (1)/(∞)) - 13.6((1)/(4) - (1)/(9))) = (1 - 0 - 1 + (1)/(4))/((1)/(4) - 0 - (1)/(4) + (1)/(9)) = (1 / 4)/(1 / 9) = (9)/(4)

For any given series of spectral lines of atomic hydrogen, let Δ -...

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