A) \[n\]
B) \[\frac{{{n}^{3}}}{{{Z}^{2}}}\]
C) \[\frac{{{n}^{2}}}{Z}\]
D) \[\frac{Z}{n}\]
Correct Answer: B
Solution :
\[r\propto \frac{{{n}^{2}}}{Z}\]and \[v\propto \frac{X}{{{n}^{2}}}\] Time period of revolution of an electron around the nucleus of charge\[Ze\]is \[T=\frac{2\pi r}{v}=2\pi \frac{{{n}^{2}}}{Z}.\frac{n}{Z}\] \[\Rightarrow \] \[T\propto \frac{{{n}^{3}}}{{{Z}^{2}}}\]
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