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Chemistry · Structure of atom

हिन्दी

Determine the radius of the third stationary orbit (\( n = 3 \)) for a single-electron species \( \text{Li}^{2+1} \) (where \( a_0 = 52.9 \text{ pm} \)).

  1. \( 158.7 \text{ pm} \)
  2. \( 79.35 \text{ pm} \)
  3. \( 52.9 \text{ pm} \)
  4. \( 476.1 \text{ pm} \)

Correct answer · Option 1

\( 158.7 \text{ pm} \)

Explanation

Using \( r_n = \frac{a_0 n^2}{Z} \), for \( n = 3 \) and \( Z = 3 \) for \( \text{Li}^{2+} \), \( r_3 = \frac{52.9 \times 3^2}{3} = 3 \times 52.9 = 158.7 \text{ pm} \) is incorrect; wait, \( 52.9 \times 9 / 3 = 158.7 \text{ pm} \). Let's check options: Option 1 is 158.7 pm.
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