‘What is the minimum energy required to convert a ground-state 1H1 atom into an H+ ion? 

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AAI ATC Junior Executive 21 Feb 2023 Shift 1 Official Paper
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  1. 13.6 eV
  2. 10.2 eV
  3. 3.4 eV
  4. 1.511 eV

Answer (Detailed Solution Below)

Option 1 : 13.6 eV
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Explanation:

For Hydrogen and Hydrogen like atoms,

\(E_n=-13.6\frac{Z^2}{n^2}eV\)

where \(Z\) is atomic number 

n is number of atom.

Here \(Z=1,n=1\)

\(E_n=-13.6\frac{Z^2}{n^2}eV=-13.6eV\)

This is the ground state energy of Hydrogen atom.

Now, the minimum energy required to to convert is Ionization Energy.

Ionization Energy\(=-\text{Ground state energy}\)

\(I.E.=E_1=-(-13.6)eV=13.6eV\)

Hence, the correct answer is Option-1=13.6eV.

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