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JEE Main levelNumerical answerDifficulty 2 of 3as080

Use $R_{H} = 1.097 \times 1 0^{7} m^{- 1}$ . Calculate the wavelength, in nm (nearest integer), of the hydrogen line produced by the transition $n = 4 \to n = 2$ .

Numerical answer type, answer in nm, tolerance 1.

Answer: 486 nm

1/ λ = R_{H} (1/4 - 1/16) = 3 R_{H} /16

, so

λ = 16/ (3 R_{H}) = 486.2 nm

, i.e. 486 nm.

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