If ∆ r _ 1 represents the difference in radii of stationary orbits& for& n = 3 and n = 4 in a hydrogen atom and ∆ r _ 2 represents the difference in radii of stationary orbits for& n = 8 and n = 9 , then the value of ∆

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Quantrex Academy · Accepted Answer

Correct answer: B. 0.41

Use the relationship between the radius of an orbit and quantum number

n

of that orbit.

\dfrac{{r}_{4} - {r}_{3}}{{r}_{9} - {r}_{8}} = \dfrac{{r}_{1} \times {4}^{2} - {r}_{1} \times {3}^{2}}{{r}_{1} \times {9}^{2} - {r}_{1} \times {8}^{2}} = \dfrac{16 - 9}{81 - 64} = 0.41

If ∆ r _ 1 represents the difference in radii of stationary orbits&...

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