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NEET · Physics · STD 12 - 12. atoms

If the longest wavelength in the ultraviolet region of hydrogen spectrum is \(\lambda_{0}\) then the shortest wavelength in its infrared region is

  1. A \(\frac{{20}}{3}{\lambda _0}\)
  2. B \(\;\frac{{36}}{5}{\lambda _0}\)
  3. C \(\;\frac{{27}}{4}{\lambda _0}\)
  4. D \(\;\frac{{46}}{7}{\lambda _0}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\;\frac{{27}}{4}{\lambda _0}\)

Step-by-step Solution

Detailed explanation

longest wavelength in the ultraviolet region \(\frac{1}{\lambda_{0}}= R \left(1-\frac{1}{4}\right) \Rightarrow \frac{1}{\lambda_{0}}=\frac{3}{4} R \ldots\)
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