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If de broglie wavelength of electron in the ground state of hydrogen atom is λ, what is the de Broglie wavelength of electron in the first excited state of He+ ion ?

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a

2λ

b

λ2

c

λ

d

λ4

answer is C.

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Detailed Solution

(3)For a hydrogen - like ion, speed of electron V=V0.Zn where V0 is the speed of electron in the ground state of H - atom.∴ de broglie wavelength =hmv =hmV0.nz∴ λ =hmv011 and λ' =hmV0.22=hmV0∴ λ'=λ

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If de broglie wavelength of electron in the ground state of hydrogen atom is λ, what is the de Broglie wavelength of electron in the first excited state of He+ ion ?