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Question: The binding energy of an electron in the ground state of the He atom is equal to 24eV. The energy re...

The binding energy of an electron in the ground state of the He atom is equal to 24eV. The energy required to remove both the electrons from the atom will be

A

59Ev

B

81eV

C

79eV

D

None of these

Answer

79eV

Explanation

Solution

Ionization energy of He =Z2n2×13.6= \frac{Z^{2}}{n^{2}} \times 13.6 =2212×13.6= \frac{2^{2}}{1^{2}} \times 13.6

=54.4eV= 54.4eV

Energy required to remove both the electrons

== binding energy + ionization energy

== 24.6+54.424.6 + 54.4 == 79eV