Estimate the difference in energy between the first and second Bohr's orbit for a hydrogen atom. At what minimum atomic number , a transition from `n = 2` to `n = 1` energy level would result in the emission of X -rays with `lambda = 3.0 xx 10^(-8) m`? Which hydogen -like species does this atomic number correspond to ?

Answer

`10.2 eV, z=2`

Explanation

`DeltaE=13.6[(1)/(1^(2))-(1)/(2^(2)]]=10.2 eV`
`(1)/(lambda)=RZ^(2)[(1)/(1^(2))-(1)/(2^(2)]]`
`Z^(2)=(1)/(piR(1-(1)/(4)))`
`Z=2`