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QJEEM18Ph04e9: JEE Main 2018 Physics - Class 12 JEEM18Ph04e9 Solution: The energy required to remove the electron from a singly…

The energy required to remove the electron from a singly ionized Helium atom is 2.22.2 times the energies required to remove an electron from Helium atom. The total energy required to ionize the Helium atom completely is :

Multiple Choice Options

  • A 2020 eVeV
  • B 3434 eVeV
  • C 7979 eVeV
  • D 109109 eVeV

Step-by-Step Verified Solution

Energy required to remove e −- from singly ionized Helium atom

E1 = 13.6z2n2{{13.6{z^2}} \over {{n^2}}} = 13.6×2212{{13.6 \times {2^2}} \over {{1^2}}} = 54.4 eV.

Let, E2 = energy required to remove e −- from He −- atom

∴    \therefore\,\,\,\, According to q vertion.

E1 = 2.2 E2

∴    \therefore\,\,\,\, E2 = 54.42.2{{54.4} \over {2.2}} = 24.72 eV

∴    \therefore\,\,\,\, Total energy required to ionize Helium atom completely

= (54.4 + 24.72) eV

= 79.12 eV

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