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In which of the following systems will the radius of the first orbit $(n=1)$ be minimum?
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Doubly ionized lithium
Radius of the first orbit of an atom \(R_1=\frac{0.529}{Z} A^{\circ}\)
\(\Rightarrow \mathrm{R}_1 \propto \frac{1}{\mathrm{Z}}\)
where \(Z\) is the atomic number of Hydrogen-like atom.
Since \(Z\) is maximum for doubly ionized lithium, thus radius of first orbit is minimum in doubly ionized lithium.
\(\Rightarrow \mathrm{R}_1 \propto \frac{1}{\mathrm{Z}}\)
where \(Z\) is the atomic number of Hydrogen-like atom.
Since \(Z\) is maximum for doubly ionized lithium, thus radius of first orbit is minimum in doubly ionized lithium.
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