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Q.

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
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