1.

If potential energy between a proton and an electron is given by \[|U|=k{{e}^{2}}/2{{R}^{3}}\], where K is the charge of electron and R is the radius of atom, then radius of Bohr's orbit is given by (h = Planck's constant, k=constant)  

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.  \[\frac{4{{\pi }^{2}}k{{e}^{2}}m}{{{n}^{2}}{{h}^{2}}}\]
Answer» C.  \[\frac{2\pi }{n}\frac{k{{e}^{2}}m}{{{h}^{2}}}\]


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