Which wavelengths will be emitted by a sample atomic hydrogen gas (in ground state) if electrons energy 12.2 eV collide with the atoms of the gas?

Question

Philoid · Accepted Answer

We know, according to Bohr’s Model, the energy ∆E released, when electrons move from n₂ energy level to n₁ energy level is given by,

Now, given that hydrogen is in its ground state. So n₁=1.

Substituting, n₂=2, we get ∆E=10.2 eV.

Thus, the electrons will be released from n=2 level to n=1 level.

Substituting, n₂=3, we get ∆E=12.08 eV.

Thus, the electrons will be released from n=3 level to n=1 level.

This, corresponds to the Lyman Series(infrared region).