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JEE Mains · Chemistry · STD 11 - 2. structure of atom

The wave number of the first emission line in the Balmer series of \(H-\) Spectrum is ( \(R =\) Rydberg constant)

  1. A \(\frac {5}{36}\,\,R\)
  2. B \(\frac {9}{400}\,\,R\)
  3. C \(\frac {7}{6}\,\,R\)
  4. D \(\frac {3}{4}\,\,R\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac {5}{36}\,\,R\)

Step-by-step Solution

Detailed explanation

\(\bar v = R{Z^2}\left( {\frac{1}{{{2^2}}} - \frac{1}{{{3^2}}}} \right)\) \( = R\left( {\frac{1}{4} - \frac{1}{9}} \right)\) \( = \frac{{5R}}{{36}}\)
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