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Chemistry · Structure of atom

हिन्दी

If the wavenumber of a spectral line in the Paschen series of hydrogen spectrum is \( 9.139 \times 10^3 \text{ cm}^{-1} \), calculate the higher principal quantum number \( n_2 \) from which the electron transition takes place (\( R_H = 109677 \text{ cm}^{-1} \)).

  1. \( n_2 = 5 \)
  2. \( n_2 = 4 \)
  3. \( n_2 = 6 \)
  4. \( n_2 = 3 \)

Correct answer · Option 2

\( n_2 = 4 \)

Explanation

Using Rydberg formula for Paschen series, \( \bar{\nu} = R_H (\frac{1}{3^2} - \frac{1}{n_2^2}) \). Substituting values gives \( n_2 = 4 \).
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