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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a
λ1= λ2-λ3
b
λ1= λ3-λ2
c
1λ1= 1λ2+1λ3
d
1λ1= 1λ3+1λ2
answer is C.
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Detailed Solution
As λ1<λ2<λ3 ∆E1=∆E2+∆E3 ; ∴hcλ1=hcλ2+hcλ3 ∴1λ1=1λ2+1λ3