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The ground state energy of hydrogen atom is -13.6 eV. The potential and kinetic energies of the electron in this state ________.

Asked in GUJCET 2025 · Energy levels and ionisation

Answer: (3) -27.2 eV, +13.6 eV

Step-by-step solution

Given: total energy E=-13.6 eV; the blank is to be filled in the order potential energy first, kinetic energy second.

Idea: a circular Coulomb orbit splits its energy in a fixed way, U=2E and K=-E.

U=2×(-13.6)=-27.2 eV.

K=-(-13.6)=+13.6 eV.

Check: U+K=-27.2+13.6=-13.6 eV=E, and the kinetic energy comes out positive, as any kinetic energy must.

Why the other options are wrong

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