Q.

Energy of the electron in He+ ion is four times the energy of the electron in the first excited state if hydrogen atom. Then orbital angular momentum of the electron in the above said He+ ion is

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a

3h/π

b

3h/2π

c

2h/π

d

h/π

answer is D.

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Detailed Solution

Suppose in He+ ion is in nth energy state and the hydrogen atom is in nth energy state.∴ −13.6z2n2=4×(−13.6/22)⇒n=2×24=2∴ In the He+ ion, L=nh2π=2×h2π=hπ
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Energy of the electron in He+ ion is four times the energy of the electron in the first excited state if hydrogen atom. Then orbital angular momentum of the electron in the above said He+ ion is