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what are the frequency and wavelength of a photon emitted during a transition from n = 5 state to the n =2 state in the hydrogen atom?

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Since `n_(1)=5` and `n_(f)=2`, this transition gives rise to a spectral line in the visible region of the Balmer series.
`DeltaE=2.18xx10^(-18) J[1/5^(2)-1/2^(2)]=-4.58xx10^(-19)J`
It is an emission energy
This frequency of the photon (talking energy in terms of magnitude) is given by
`v=(DeltaE)/(h)=(4.58xx10^(-19)J)/(6.626xx10^(-34) Js)=6.91xx10^(14) Hz`
`lambda=c/v=(3.0xx10^(8) ms^(-1))/(6.91xx10^(14) Hz)=434 nm`
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