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
3λ
c
1.5λ
d
2λ
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