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COMEDK · Physics · 28. Atomic Physics

Which state of triply ionised Beryllium \(\left(\mathrm{Be}^{+++}\right)\) has the same orbital radius as that of the ground state of hydrogen?

  1. A \(n=3\)
  2. B \(n=4\)
  3. C \(n=1\)
  4. D \(n=2\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(n=2\)

Step-by-step Solution

Detailed explanation

The radius in Bohr's atomic model is given by \[ r=0.53 \frac{n^{2}}{Z} Å \] For \(\mathrm{Be}^{3+} ; \mathrm{Z}_{\mathrm{Be}}=4, n_{\mathrm{Be}}=\) ? For \(\mathrm{H}, \mathrm{Z}_{\mathrm{H}}=1, n_{\mathrm{H}}=1\) As per question,…