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Q.

The binding energy of e- in ground state of hydrogen atom is 13.6 eV. The energies required to eject out an electron from three lowest states of He+ atom will be (in eV):

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a

13.6, 10.2, 3.4

b

13.6, 3.4, 1.5

c

13.6, 27 .2, 40.8

d

54.4. 13.6. 6

answer is D.

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Detailed Solution

The hydrogen atom's ground state has a binding energy of 13.6 eV for e. Three of the lowest states of the H, e+ atom will require energies of 54.4, 13.6, and 6 eV, respectively, to eject an electron.
Energy is inversely proportional to Z2n2.
H is atomic energy in its ground state is 13.6 eV.
An electron must expend a certain amount of energy to leave He+is first lowest state.E1=Z2n2E=221213.6=54.4

In the second-lowest state of He+, the energy needed to release one electron is E2=Z2n2E=222213.6=13.6

In the third-lowest state of He+, the energy needed to release one electron is E3=Z2n2E=223213.6=6

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