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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 

a
3h/π
b
3h/2π
c
2h/π
d
h/π

detailed solution

Correct option is D

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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If speed of electron in the ground state of hydrogen atom is 2.2×106m/s, which of the following cannot be the speed of electron in any orbit of He+ ion?


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