When an electron in a hydrogen atom jumps from the third orbit to the second orbit, it emits a photon of wavelength λ λ ′ . When it jumps from the fourth orbit to third orbit, the wavelength emitted b

Question

When an electron in a hydrogen atom jumps from the third orbit to the second orbit, it emits a photon of wavelength λ λ ′ . When it jumps from the fourth orbit to third orbit, the wavelength emitted by the photon will be

TestHub · Accepted Answer

λ 1 ​ λ ′ 1 ​ λ λ ′ ​ ∴ λ ′ ​ = R ( 2 2 1 ​ − 3 2 1 ​ ) = R ( 4 1 ​ − 9 1 ​ ) = 36 R × 5 ​ = R ( 3 2 1 ​ − 4 2 1 ​ ) = R ( 9 1 ​ − 16 1 ​ ) = R × 144 7 ​ = 36 5 ​ × 7 144 ​ = 7 20 ​ = 7 20 ​ λ ​

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