Verified Solution • 2025–26 Session moderate

QPages 384-386: Q8: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Pages 384-386: Q8 Solution: a) Find the first excitation potential of He ion. b) Find the…

a) Find the first excitation potential of He+^+ ion. b) Find the ionization potential of Li++^{++} ion.

Step-by-Step Verified Solution

**Answer:** (a) First excitation potential of He_ = 40.8 V. (b) Ionization potential of Li__ = 122.4 V. **Step-by-Step Explanation:** (a) For He_ (Z=2), first excitation is n=1 _ n=2:
ΔE=13.6×Z2(1−14)=13.6×4×34=40.8 eV\Delta E = 13.6 \times Z^2 \left(1 - \frac{1}{4}\right) = 13.6 \times 4 \times \frac{3}{4} = 40.8 \text{ eV}
Excitation potential = 40.8 V. (b) For Li__ (Z=3), ionization from n=1:
E=13.6×Z2=13.6×9=122.4 eVE = 13.6 \times Z^2 = 13.6 \times 9 = 122.4 \text{ eV}
Ionization potential = 122.4 V [citation:3].

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