The simple Bohr model is not applicable to \(\text{He}^4\) atom because:

(a) \(\text{He}^4\) is an inert gas.
(b) \(\text{He}^4\) has neutrons in the nucleus.
(c) \(\text{He}^4\) has one more electron.
(d) electrons are not subject to central forces.

 
Choose the correct option:

1. (a), (c) 2. (a), (c), (d)
3. (b), (d) 4. (c), (d)
Hint: The Bohr model is only applicable to the H-like atoms.
 
Explanation: The simple Bohr model is not applicable to the \(\text{He}^4\) atom because \(\text{He}^4\) has one more electron and electrons are not subject to central forces. Bohr proposed a model for the hydrogen atoms which is also applicable for some lighter atoms in which a single electron revolves around a stationary nucleus of positive charge \(Ze\) (called hydrogen-like atom). It is valid only for one-electron atoms, e.g. : \(\mathrm H, \mathrm{He}^{+}, \mathrm{Li}^{+2}, \mathrm{Na}^{+1}\) etc.
The Bohr model is not applicable to \(\mathrm{He}^4,\) as it has one more electron and electrons are not subject to central forces.
Hence, option (4) is the correct answer.