Q.
The ionization energy of hydrogen atom is 13.6eV . Hydrogen atoms in the ground state are excited by electromagnetic radiation of energy 12.1eV . How many spectral lines will be emitted by the hydrogen atoms
Energy required for transition of electron is given by, ΔE=E0−En ⇒12.1=13.6−En ⇒En=13.6−12.1=1.5 ⇒n213.6=1.5 ⇒n2=1.513.6=9 ⇒n=3
Number of spectral lines =2n(n−1)=23(3−1)=3