Q.

Ratio of de-Broglie wavelength to orbital radius of an electron Li2+ in first excited state is  6πx. Find x.

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answer is 6.

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Detailed Solution

de-Broglie wavelength of electron in Bohr’s atom is given by
λ=2πrnλr=2πn
 For 1st excited state, n = 2
    λr=π=6π6    x=6

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