If the de Broglie wave length of electron in the ground state of hydrogen atom is λ, Then the de Broglie wave length in the third excited state of He+ ion is
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a
λ2
b
2λ
c
4λ
d
λ4
answer is B.
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Detailed Solution
If v0 be the speed of electron in the ground state of Hydrogen atom, then λ=hmv0Now, vn = speed of electron in the nth energy level of a Hydrogen like ion =v0zn∴λn=hmvn=hmv0zn=nz.hmv0=42λ=2λ