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(A) The total energy $E$ of an electron in the ground state of a hydrogen atom is given as $E = -13.6 \; eV$.The total energy is the sum of kinetic en

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Kinetic energy $= 13.6 \; eV$,Potential energy $= -27.2 \; eV$

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(A) The total energy $E$ of an electron in the ground state of a hydrogen atom is given as $E = -13.6 \; eV$.The total energy is the sum of kinetic energy $(K)$ and potential energy $(U)$,i.e.,$E = K + U$.For an electron in a hydrogen atom,the kinetic energy is related to the total energy by $K = -E$.Therefore,$K = -(-13.6 \; eV) = 13.6 \; eV$.The potential energy is related to the total energy by $U = 2E$.Therefore,$U = 2 	imes (-13.6 \; eV) = -27.2 \; eV$.Thus,the kinetic energy is $13.6 \; eV$ and the potential energy is $-27.2 \; eV$.

The ground state energy of a hydrogen atom is $-13.6 \; eV$. What are the kinetic and potential energies of the electron in this state?

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