The series limit wavelength of the Balmer series is emitted as the hydrogen atom falls from the `n = oo` state to `n = 2` state. What is the wave- length of the line?

Explanation

As we know, `DeltaE = E_(oo) - E_2`
`(hc)/lambda = 0 - (-13.6/2^2)`
`(hc)/lambda = (13.6)/4 (eV)`
`(hc)/lambda = (13.6 xx 1.6 xx10^(-19))/(4) J`
`lambda = (hxxc xx4)/(13.6 xx1.6 xx 10^(-19))`
`= (6.6 xx 10^(-34) xx 3 xx 10^8 xx 4)/ (13.6 xx 1.6 xx10^(-19))`
` = 3.64 xx 10^(-7)m`