Q. The energies of three conservative energy levels  L 3 , L 2   a n d   L 1  of hydrogen atom are  E 0 ,   4 E 0 9   a n d   E 0 4
respectively. A photon of wavelength  λ  is emitted for a transition  L 3   t o   L 1 . What will be the wavelength of emission for transition  L 2   t o   L 1 ?
1 .   16 λ 31 2 .   27 λ 7 3 .   19 20 λ 4 .     λ

We know that E=hcλBetween  L1 and L3 energy difference E=E0-E04=3E04hcλ=3E04 ________1Between  L2 and L1 energy difference E=E0-4E09=5E09hcλ'=5E09 ________2Dividing equation 1 and 2hcλhcλ'=3E045E09λ'λ=2720λ'=2720λCheck your option there is some mistake in options

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