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The energy required to excite an electron of the hydrogen atom from its ground state to the second excited state is _____ eV.

Asked in GSEB Board March 2022 · Energy levels and ionisation

• (1) 13.6
• (2) 12.09
• (3) 10.2
• (4) 3.40

Step-by-step solution

Why the other options are wrong

• (1) 13.6 eV is the ionisation energy, the cost of taking the electron all the way to n=∞; reaching n=3 costs less.
• (3) 10.2 eV lifts the electron only to n=2, the first excited state: 13.6(1-1/4)=10.2. The second excited state is n=3.
• (4) 3.40 eV is |E₂|=(13.6)/4, the energy of the first excited level itself, not a difference between two levels.

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