Question

According to the Bohr Theory, which of the following transitions in the hydrogen atom will give rise to the least energetic photon? 

(a) n = 6 to n = 1 

(b) n = 5 to n = 4 

(c) n = 5 to n = 3 

(d) n = 6 to n = 5

Answer 1

(d) n = 6 to n = 5

n = 6 to n = 5

E₆ = -13.6 / 6² ; E₅ = – 13.6 / 5²

E₆ – E₅ = (-13.6 / 6⁶) – (-13.6 / 5²) 

= 0.166 eV atom^-1 

E₅ – E₄ = (-13.6 / 5²) – (-13.6 / 4²) 

= 0.306 eV atom^-1