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The simple Bohr model is not applicable to He atom because
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$\mathrm{He}^4$ has one more electron
,
electrons are not subject to central forces
$\mathrm{He}^4$ has one more electron
,
electrons are not subject to central forces
Bohr model is valid for $\mathrm{H}$-atom only for one electron but Bohr model is not applicable to $\mathrm{He}^4$ atom because $\mathrm{He}^4$ has one more electron and electrons are not subject to central forces due to longer distance than nuclear size.
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