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Introduction to Atomic Structure

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Question

Calculate the ratio of radii of first, second and third orbits of a hydrogen atom.

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Solution

In bohr orbit radius of $n^{t h}$ orbital $R_{n}$ is
$R_{n} = 0.529 \times \frac{n^{2}}{z} A^{∙}$ ( $z = 1$ of Hydrogen)
$R_{1} = 0.529 \times 1 A^{∙} R_{2} = 0.529 \times 4 A^{∙} R_{3} = 0.529 \times 9 A^{∙} R_{1} : R_{2} : R_{3} = 1 : 4 : 9$

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