Atomic StructureHard

Question

The ratio of spacing between the third and fourth orbit to the spacing between sixth and seventh orbit of H–atom is

Options

A.7: 13
B.13: 7
C.16: 49
D.1: 1

Solution

$\frac{r_{4} - r_{3}}{r_{7} - r_{6}} = \frac{r_{1} \times 4^{2} - r_{1} \times 3^{2}}{r_{1} \times 7^{2} - r_{1} \times 6^{2}} = \frac{7}{13}$

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