What is the highest frequency of a photon that can be emitted from a hydrogen atom ? What is the wavelength of this this photon ?

Explanation

Highest frequency photon is emitted an electron comes from infinity to the first energy level
`E =- (13.6Z^(2))/(I^(2)) = -13.6 eV`
or `13.6 xx 1.6 xx 10^(-19) J = E = hv`
`:. V = (E )/(h) = (2.176 xx 10^(-18)J )/(6.626 xx 10^(-34) J s) = 0.328 xx 10^(13) Hz`
`v = (c )/( lambda) :. lambda = (c )/(v)`
`lambda = (3 xx 10^(8))/(0.328 xx 10^(16)) = 9.148 xx 10^(-8) m`