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If ω0 be the orbital angular velocity of electron in the ground state of hydrogen atom, then which of the following may be the angular velocity of electron in any orbit in Li++ ion?

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a

ω0/0.25

b

ω0/4

c

ω0/2

d

ω0/6.75

answer is B.

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Detailed Solution

In the nth orbit of a He+ ion, ωn=Vnrm=V0 znr0 n2z=ω0z2n3For Helium, z = 2For n=1, ω1=ω02213=4ω0, for n=2, ω2=ω02223=ω02for n=3, ω3=ω02233=4ω027=ω06.75

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If ω0 be the orbital angular velocity of electron in the ground state of hydrogen atom, then which of the following may be the angular velocity of electron in any orbit in Li++ ion?