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AP EAMCET · Chemistry · Structure of Atom

If the ratio of energies of electron in the excited states of \(\mathrm{H}\) and \(\mathrm{Li}^{2+}\) is \(1: 9\), the radius ratio of electron in the same excited states of \(\mathrm{H}\) and \(\mathrm{Li}^{2+}\) is

  1. A \(9: 1\)
  2. B \(3: 1\)
  3. C \(1: 9\)
  4. D \(1: 3\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(3: 1\)

Step-by-step Solution

Detailed explanation

\(\because\) For same excited state \[ r \propto \frac{1}{Z} \text { and } E \propto Z^2 \] Where, \(r=\) radius of element \(Z=\) atomic number of element ' \(\mathrm{Z}\) ' for \((\mathrm{H})\) and \(\left(\mathrm{Li}^{2+}\right)\) are 1 and 3 respectively thus,…
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