derive an expression for the energy of an electron in the atom
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Consider a hydrogen like atom having only one electron. The force acting on the electron will be given by Coulamb's law. F=(Ze)(-e) 4π0r,=Ze24π0r. Since it is a circular motion, this force will be the force required to keep the electron in circular motion and hence will be equal to the centripetal force.
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Consider a hydrogen like atom having only one electron. ... The force acting on the electron will be given by Coulomb's Law. F=(Ze)(−e)4πε0r=−Ze24πε0r. Since it is a circular motion, this force will be the force required to keep the electron in circular motion and hence will be equal to the centripetal force.
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