Energy levels $A, B, C$ of a certain atom correspond to increasing values of energy i.e., $E_A < E_B < E_C$. If ${\lambda _1},{\lambda _2},{\lambda _3}$ are the wavelengths of radiation corresponding to the transition $C$ to $B, B$ to $A$ and $C$ to $A$ respectively, which of the following relation is correct ?

  • A

    ${\lambda _3} = {\lambda _1} + {\lambda _2}$

  • B

    ${\lambda _3} = \frac{{{\lambda _1}{\lambda _2}}}{{{\lambda _1} + {\lambda _2}}}$

  • C

    ${\lambda _1} + {\lambda _2} + {\lambda _3} = 0$

  • D

    $\lambda _3^2 = \lambda _1^2 + \lambda _2^2$

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