A) \[\frac{1}{2}\frac{Z{{e}^{2}}}{r}\]
B) \[\frac{1}{2}\frac{Z{{e}^{2}}}{{{r}^{2}}}\]
C) \[\frac{Z{{e}^{2}}}{r}\]
D) \[\frac{Ze}{{{r}^{2}}}\]
Correct Answer: A
Solution :
In the revolution of electron, coulomb force provides the necessary centripetal force Þ \[\frac{z{{e}^{2}}}{{{r}^{2}}}=\frac{m{{v}^{2}}}{r}\] Þ \[m{{v}^{2}}=\frac{z{{e}^{2}}}{r}\] \ K.E.\[=\frac{1}{2}m{{v}^{2}}=\frac{z{{e}^{2}}}{2r}\]You need to login to perform this action.
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