A) -3.4eV
B) -6.8eV
C) 6.8eV
D) 3.4eV
Correct Answer: D
Solution :
Key Idea: The kinetic energy is equal to the negative of total energy. Kinetic energy of electron \[K=\frac{Z{{e}^{2}}}{8\pi {{\varepsilon }_{0}}r}\] Potential energy of electron \[U=-\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{Z{{e}^{2}}}{r}\] \[\therefore \] Total energy \[E=K+U=\frac{Z{{e}^{2}}}{8\pi {{\varepsilon }_{0}}r}-\frac{Z{{e}^{2}}}{4\pi {{\varepsilon }_{0}}r}\] or \[E=-\frac{Z{{e}^{2}}}{8\pi {{\varepsilon }_{0}}r}\] or \[E=-K\] or \[K=-E=-\,(-3.4)=3.4\,eV\]
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