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Q.

If de Broglie wavelength of electron in the ground state of hydrogen atom is λ, what will be the de Broglie wavelength of the electron in He+ when the ion is in the second excited state?

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a

λ

b

c

1.5λ

d

answer is C.

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Detailed Solution

If r0 be the radius of orbit of electron in hydrogen atom in ground state, then de Broglie wavelength λ=2πr0In a hydrogen-like ion, rn=r0n2z∴ de Broglie wavelength of electronλ1=2πrnn=2πr0nz=λ32=1.5λ
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