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What are the frequency and wavelength of...

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. From `DeltaE=R_(H)((1)/(n_(i)^(2))-(1)/(n_(f)^(2)))`
`=2.18xx10^(-18)J((1)/(n_(i)^(2))-(1)/(n_(f)^(2)))`
`DeltaE=2.18xx10^(-18)J((1)/(5^(2))-(1)/(2^(2)))`
`=-4.58xx10^(-19)J`
It is an emission energy.
The frequency of the photon (taking.energy in terms of magnitude) is given by
`v=(DeltaE)/(h)`
`=(4.58xx10^(-19))/(6.626xx10^(-34)Js)`
`=6.91xx10^(14)Hz`
`lamda=(c)/(v)=(3.0xx10^(8)ms^(-1))/(6.91xx10^(-14)Hz)=434nm`
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