Calculate the wavelength of the radiation emitted when in a hydrogen atom electron falls from infinity to stationary state 1 (Rydberg constant = 1.097 × 1 0 7 m - 1 )

Question

Calculate the wavelength of the radiation emitted when in a hydrogen atom electron falls from infinity to stationary state 1 (Rydberg constant = 1.097 × 1 0 7 m - 1 ), 91 n m, 192 n m, 406 n m, 9.1 × 1 0 - 8 n m

MARKS App · Accepted Answer

1 λ = R 1 n 1 2 - 1 n 2 2 1 λ = 1.097 × 1 0 7 m - 1 1 1 2 - 1 ∞ 2 ∴ λ = 91 × 1 0 - 9 m We know 1 0 - 9 = 1 n m So λ = 91 n m

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