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Transitions between three energy levels in a particular atom give rise to three spectral lines of wavelengths, in increasing magnitudes, $λ_{1}, λ_{2} and λ_{3}$ . Which one of the following equations correctly relates $λ_{1}, λ_{2} and λ_{3}$ ?

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λ1= λ2-λ3

λ1= λ3-λ2

1λ1= 1λ2+1λ3

1λ1= 1λ3+1λ2

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detailed solution

Correct option is C

As λ1<λ2<λ3 ∆E1=∆E2+∆E3 ; ∴hcλ1=hcλ2+hcλ3 ∴1λ1=1λ2+1λ3

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Transitions between three energy levels in a particular atom give rise to three spectral lines of wavelengths, in increasing magnitudes, λ1, λ2 and λ3. Which one of the following equations correctly relates λ1, λ2 and λ3?

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Ready to Test Your Skills?

free study material

Transitions between three energy levels in a particular atom give rise to three spectral lines of wavelengths, in increasing magnitudes, $λ_{1}, λ_{2} and λ_{3}$ . Which one of the following equations correctly relates $λ_{1}, λ_{2} and λ_{3}$ ?