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Question: Answered & Verified by Expert
Calculate the radius of first orbit of $\mathrm{Be}^{3+}$.
ChemistryStructure of AtomMHT CETMHT CET 2022 (10 Aug Shift 1)
Options:
  • A $13.23 \mathrm{pm}$
  • B $52.9 \mathrm{pm}$
  • C $17.63 \mathrm{pm}$
  • D $26.45 \mathrm{pm}$
Solution:
2437 Upvotes Verified Answer
The correct answer is: $13.23 \mathrm{pm}$
$\begin{aligned} r_n & =\frac{n^2}{z} \times 0.53 \AA \\ & =\frac{1}{4} \times 0.53 \AA \\ & =\frac{1}{4} \times 0.53 \AA \\ & =0.1325 \AA \\ & =13.25 \mathrm{pm}\end{aligned}$

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