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Chemistry · PYQ NEET UG 2023

हिन्दी

The relation between \( n_{\text{m}} \), (\( n_{\text{m}} \) = the number of permissible values of magnetic quantum number (\( m \))) for a given value of azimuthal quantum number (\( l \)), is

  1. \( n_{\text{m}} = l + 2 \)
  2. \( l = 2n_{\text{m}} + 1 \)
  3. \( n_{\text{m}} = 2l^2 + 1 \)
  4. \( l = \frac{n_{\text{m}} - 1}{2} \)

Correct answer · Option 4

\( l = \frac{n_{\text{m}} - 1}{2} \)

Explanation

For a given value of \( l \), the magnetic quantum number \( m \) can take \( 2l + 1 \) values, so \( n_{\text{m}} = 2l + 1 \), which rearranges to \( l = \frac{n_{\text{m}} - 1}{2} \).
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