Hydrogen atoms are excited by a laser to the n = 4 state & then allowed to emit.?

What is the maximum number of distinct emission spectral lines (lines of different wavelengths) that can be observed from this system?

Answer 1

(i) number of lines N = n(n-1)/2 = 4*3/2 = 6

(ii) Rydberg formula for hydrogen: 1/λ = R(1/n₁² – 1/n₂²)
for R ≈ 1.097e7 /m
so
1/λ = 1.097e7/m * (1/1² – 1/3²) = 9.751e6 /m
λ = 1.026e-7 m = 102.6 nm

If you find this helpful, please award Best Answer!

Leave a Comment