Ionization potential of hydrogen atom is 13.6 eV. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. According to Bohr's theory, the spectral lines emitted by hydrogen will be ......

Options

A. three
B. four
C. one
D. two

Answer

A

Explanation

Here ground state energy is 13.6 eV and
first excited state energy `=-(13.6)/(4)=-3.4eV`
second excited state energy is `=-(13.6)/(9)=-1.5eV`
The difference between the energy of ground state and second excited state = 13.6-1.5= 12.1 eV So electron can jump in third orbit.
`:.` Since possible transition are `1 to 2, 1 to 3,2 to 3`, so three line can obtained