Match the hydrogen Balmer transitions (a) 3→2, (b) 4→2, (c) 5→2, (d) 6→2 with wavelengths (i) 410.2 nm, (ii) 434.1 nm, (iii) 656.3 nm, (iv) 486.1 nm.
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Question

Match the hydrogen Balmer transitions (a) 3→2, (b) 4→2, (c) 5→2, (d) 6→2 with wavelengths (i) 410.2 nm, (ii) 434.1 nm, (iii) 656.3 nm, (iv) 486.1 nm.

G1 Physics · Accepted Answer

Using 1/λ = R(1/2² − 1/n²): the 3→2 Hα line is 656.3 nm (iii), 4→2 Hβ is 486.1 nm (iv), 5→2 Hγ is 434.1 nm (ii), and 6→2 Hδ is 410.2 nm (i). Match (a)-(iii), (b)-(iv), (c)-(ii), (d)-(i). Answer: A.