In hydrogen spectrum, the shortest wavelength in the Balmer series is λ. The shortest wavelength in the Brackett series is:
Options

Question

In hydrogen spectrum, the shortest wavelength in the Balmer series is λ. The shortest wavelength in the Brackett series is:

G1 Physics · Accepted Answer

At a series limit, the upper level is n = ∞ and 1/λₘᵢₙ = R/n₁², hence λₘᵢₙ = n₁²/R. Balmer ends at n₁ = 2; Brackett at n₁ = 4. Ratio = 4²/2² = 4. Answer: D.