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

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