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The Energy Expressions for the Electrons in the He+ Ion

Question 55

Multiple Choice

The energy expressions for the electrons in the He+ ion and the hydrogen atom are En (H) = -a/n2 and En (He+) = -4a/n2
Which of the following statements is(are) correct?
I. For the transitions The energy expressions for the electrons in the He<sup>+</sup> ion and the hydrogen atom are E<sub>n</sub> (H)  = -a/n<sup>2</sup> and E<sub>n</sub> (He<sup>+</sup>)  = -4a/n<sup>2</sup> Which of the following statements is(are)  correct?  I. For the transitions   , the frequency is larger for  H  than for He+. II. The first ionization energy of the H  atom is smaller than the second. III. The 1s orbital in  He+ is larger (in the sense that the probability density is shifted outward)  than the  1s  orbital in H. A)  III only B)  I and II only C)  I only D)  I, II, and III E)  II only , the frequency is larger for H than for He+.
II. The first ionization energy of the H atom is smaller than the second.
III. The 1s orbital in He+ is larger (in the sense that the probability density is
shifted outward) than the 1s orbital in H.


A) III only
B) I and II only
C) I only
D) I, II, and III
E) II only

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