A) \[\frac{k{{e}^{2}}m}{{{h}^{2}}}\]
B) \[\frac{6{{\pi }^{2}}}{{{n}^{2}}}\frac{k{{e}^{2}}m}{{{h}^{2}}}\]
C) \[\frac{2\pi }{n}\frac{k{{e}^{2}}m}{{{h}^{2}}}\]
D) \[\frac{4{{\pi }^{2}}k{{e}^{2}}m}{{{n}^{2}}{{h}^{2}}}\]
Correct Answer: B
Solution :
[b] \[U=-\frac{k{{e}^{2}}}{2{{R}^{2}}},F=-\frac{dU}{dR}=\frac{3k{{e}^{2}}}{2{{R}^{4}}}\] But, \[F=\frac{m{{v}^{2}}}{R}\Rightarrow \frac{m{{v}^{2}}}{R}=\frac{3k{{e}^{2}}}{2{{R}^{4}}}\] Also, \[mvR=\frac{nh}{2\pi }\] Solve to get: \[R=\frac{6{{\pi }^{2}}k{{e}^{2}}m}{{{n}^{2}}{{h}^{2}}}\]You need to login to perform this action.
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