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COMEDK · Chemistry · 2. Structure of Atom

The ionisation energy of hydrogen atom is 13.6 eV . The ionisation energy of \(\mathrm{Li}^{2+}\) ion will be

  1. A 54.4 eV
  2. B 40.8 eV
  3. C 27.2 eV
  4. D 122.4 eV
Verified Solution

Answer & Solution

Correct Answer

(D) 122.4 eV

Step-by-step Solution

Detailed explanation

For hydrogen like particle, energy of \(n^{\text {th }}\)-orbital is given as, \(\begin{aligned} & E_n=-\frac{2 \pi^2 m Z e^4}{n^2 h^2} \text { or }-\frac{K Z^2}{n^2} \\ & Where, K=\frac{2 \pi^2 m e^4}{h^2} \end{aligned}\) Ionisation energy, IE = Energy at infinity - Energy at…