Find the mass ratio M D / M H of deuterium and hydrogen (in near integer value) if their H α ˉ lines have wavelengths of 6561.01 Å and 6562 Å respectively.

Question

Find the mass ratio M D ​ / M H ​ of deuterium and hydrogen (in near integer value) if their H α ˉ lines have wavelengths of 6561.01 Å and 6562 Å respectively.

TestHub · Accepted Answer

Use formula in terms of reduced mass ​ λ 1 ​ = ( 1 + M m ​ ) R ∞ ​ z 2 ​ ( n 1 2 ​ 1 ​ − n 2 2 ​ 1 ​ ) ​ ​ ​ \displaylines ∴ λ H ​ λ D ​ ​ = 1 + M H ​ m ​ 1 + M D ​ m ​ ​ M H ​ M D ​ ​ ≈ 2.0

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