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For a ion, the exact ratio of the radius of the 2nd Bohr orbit to the 5th Bohr orbit () will be:Atomic Structure Chemistry Question

Question

For a $Li^{2+}$ ion, the exact ratio of the radius of the 2nd Bohr orbit to the 5th Bohr orbit ($r_2 : r_5$) will be:

Answer: C

💡 Solution & Explanation

The radius of the $n^{th}$ Bohr orbit is directly proportional to $n^2$ ($r \propto n^2/Z$). For the same ion ($Z=3$), the ratio $r_2 : r_5 = 2^2 : 5^2 = 4 : 25$.

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