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?
- A \(n=1\)
- B \(n=2\)
- C \(n=3\)
- D \(n=4\)
Answer & Solution
Correct Answer
(B) \(n=2\)
Step-by-step Solution
Detailed explanation
Radius of \(n\) th-orbit in hydrogen like atom is given by \(r=\frac{n^{2} h^{2}}{4 \pi^{2} m k Z e^{2}}\) i.e., \(\quad r \propto \frac{n^{2}}{Z}\) For hydrogen, \(Z=1, n=1\) in ground state \(\Rightarrow \quad \frac{n^{2}}{Z}=\frac{1^{2}}{1}=1\) For Beryllium…
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