An electron collides with a hydrogen atom in its ground state and excites it to n=3 . The energy given to hydrogen atom in this inelastic collision is [Neglect the recoiling of hydrogen atom]

Question

An electron collides with a hydrogen atom in its ground state and excites it to n=3 . The energy given to hydrogen atom in this inelastic collision is [Neglect the recoiling of hydrogen atom] (A) 10.2 eV (B) 12.1 eV (C) 12.5 eV (D) None of these

Tardigrade Admin · Accepted Answer

The energy taken by hydrogen atom corresponds to its transition from n=1 to n=3 state. Δ E=13.6( 1-(1/9) ) =13.6× (8/9)=12.1 eV

Q. An electron collides with a hydrogen atom in its ground state and excites it to $n = 3$ . The energy given to hydrogen atom in this inelastic collision is [Neglect the recoiling of hydrogen atom]

10.2 eV

12.1 eV

12.5 eV

None of these

The energy taken by hydrogen atom corresponds to its transition from $n = 1$ to $n = 3$ state. $Δ E = 13.6 (1 - \frac{1}{9})$ $= 13.6 \times \frac{8}{9} = 12.1 e V$

Q. An electron collides with a hydrogen atom in its ground state and excites it to n=3 . The energy given to hydrogen atom in this inelastic collision is [Neglect the recoiling of hydrogen atom]