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The total energy of an electron in the first excited state of H-atom is -3.4 eV, then its potential energy in this state is _____ eV.

Asked in GUJCET 2017 · Energy levels and ionisation

• (1) 6.8
• (2) 3.4
• (3) -6.8
• (4) -3.4

Step-by-step solution

Why the other options are wrong

• (1) 6.8 has the right size but drops the minus sign; the potential energy of a bound electron is negative.
• (2) 3.4 eV is the kinetic energy, K=-E, not the potential energy.
• (4) -3.4 repeats the total energy; the potential energy is twice the total energy.

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