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JIPMER2004ChemistryStructure of Atom

Which is the shortest wavelength line in the Lyman series of the hydrogen spectrum? ( R=1.097 10⁻² ~nm ⁻¹ )

Options

  1. A94.21 nm
  2. B91.16 nm
  3. C911.6 nm
  4. D933.6 nm

Correct answer

B. 91.16 nm

Step-by-step solution

For Lyman series, 1 =R ( 1 (1)^2 - 1 n^2 ) hence, for to be smallest, n should be greatest (i.e., ) 1 _ =1.097 10⁻² (1- 1 ^2 ) aligned & =1.097 10⁻² or _ & = 1 1.097 10⁻² =91.16 ~nm aligned

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