Atomic Structure 1 Question 28

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4. The ground state energy of hydrogen atom is 13.6eV. The energy of second excited state of He+ion in eV is

======= ####4. The ground state energy of hydrogen atom is 13.6eV. The energy of second excited state of He+ion in eV is

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed (a) -54.4

(b) -3.4

(c) -6.04

(d) -27.2

(2019 Main, 10 Jan II)

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Answer:

Correct Answer: 4. (c)

Solution:

  1. The ground state energy of H-atom is +13.6eV.

For second excited state, n=2+1=3

E3(He+)=13.6×Z2n2eV[ for He+,Z=2] =13.6×2232eV=6.04eV