Consider a hydrogen-like atom whose energy in nth excited state is given by
`E_(n) = (13.6 Z^(2))/(n^(2))`
When this excited makes a transition from excited state to ground state , most energetic photons have energy
`E_(max) = 52.224 eV`. and least energetic photons have energy
`E_(max) = 1.224 eV`
Find the atomic number of atom and the intial state or excitation.

Options

A. `Z=2,n=5`
B. `Z=2,n=4`
C. `Z=3,n=6`
D. `Z=4,n=6`

Answer

A

Explanation

maximum energy is librated for transaction `E_(n-1)to _(1)`,
and minimum energy `E_(n)toE_(n-1)`
hence` DeltaE=(Rhc)Z^(2)[1/n_(1)^(2)-1/n_(2)^(2)]`