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The radius of the first Bohr orbit for hydrogen is . The radius of the third Bohr orbit of would be:Atomic Structure Chemistry Question

Question

The radius of the first Bohr orbit for hydrogen is $0.53 \text{ \AA}$. The radius of the third Bohr orbit of $Li^{2+}$ would be:

Answer: B

💡 Solution & Explanation

Radius $r_n = 0.53 \times n^2 / Z \text{ \AA}$. For the third orbit ($n=3$) of $Li^{2+}$ ($Z=3$), $r_3 = 0.53 \times 3^2 / 3 = 0.53 \times 3 = 1.59 \text{ \AA}$.

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