TS EAMCET · Physics · Atomic Physics
Find the radius of \(\mathrm{Be}^{3+}\) ions in its ground state assuming Bohr's model to be valid \(\left(a_0=53 \mathrm{pm}\right)\).
- A 20 pm
- B 18.2 pm
- C 16.2 pm
- D 13.2 pm
Answer & Solution
Correct Answer
(D) 13.2 pm
Step-by-step Solution
Detailed explanation
For \(\mathrm{Be}^{3+}\) atom, \(Z=4\) (atomic number.) \(n=1 \text { (for ground state) }\) Using radius of orbit, \(a_n=\frac{n^2}{2} a_0\) where, Bohr's radius \(a_0=53 \mathrm{pm}\) \(\begin{aligned} & =\frac{1}{4}(53) \mathrm{pm} \\ & =13.2 \mathrm{pm} \end{aligned}\)
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