If the ionisation energy for the hydrogen atom is 13.6 eV , then the energy required to excite it from the…

If the ionisation energy for the hydrogen atom is 13.6 eV , then the energy required to excite it from the ground state to the next higher state is nearly
  1. 10.2 eV
  2. 13.6 eV
  3. -10.2 eV
  4. -3.4 eV

Solution

Minimum energy required to excite from ground state, $\mathrm{E}_{\min }=13.6\left[\frac{1}{1^2}-\frac{1}{2^2}\right]=10.2 \mathrm{eV}$

Asked in: MHT CET 2024 (10 May Shift 1)

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