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The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 ~nm . The smallest wavelength in the infrared region of the hydrogen spectrum (to the nearest integer) is

Options

  1. A802 ~nm
  2. B823 ~nm
  3. C1882 ~nm
  4. D1648 ~nm

Correct answer

B. 823 ~nm

Step-by-step solution

The largest wavelength in the ultraviolet region of the hydrogen spectrum corresponds to the transition n=2 to n=1 . That is, The transition from n= to n=3 will produce the smallest wavelength in infrared region of the hydrogen spectrum. So, Equations (i) and (ii) gives =823.5 ~nm

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