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Find the relation between the three wave...

Find the relation between the three wavelengths `lamda1, lamda2and lamda3` from the energy level diagram shown below.

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`E_c-E_B=(hc)/lamda_1" "...(1)`
`E_B-E_A=(hc)/lamda_2" " ...(2) `
`E_C-E_A=(hc)/lamda_3" "...(3)`
Adding (1) and (2), we have
`E_C-E_A=(hc)/lamda_1+(hc)/lamda_2" "...(4)`
From (3) and (4), we have
`(hc)/lamda_3=(hc)/lamda_1+(hc)/lamda_2rArr1/lamda_3=1/lamda_1+1/lamda_2`
`implieslamda_3=(lamda_1lamda_2)/(lamda_1+lamda_2)`
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