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For the first orbit of hydrogen atom, the minimum excitation potential is _____ V.

Asked in GSEB Board July 2017 · Energy levels and ionisation

Answer: (3) 10.2

Step-by-step solution

Idea: the minimum excitation lifts the electron from the ground state n=1 to the next level, n=2.

E₁=-13.6 eV and E₂=-(13.6)/(2²)=-3.4 eV.

Δ E=E₂-E₁=-3.4-(-13.6)=10.2 eV.

An electron gains this energy when accelerated through 10.2 V, so the minimum excitation potential is 10.2 V.

Why the other options are wrong

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