A) 1
B) \[\sqrt{\frac{2{{m}_{e}}}{{{m}_{\alpha }}}}\]
C) \[\sqrt{\frac{{{m}_{e}}}{{{m}_{\alpha }}}}\]
D) \[\sqrt{\frac{{{m}_{e}}}{2{{m}_{\alpha }}}}\]
Correct Answer: D
Solution :
Momentum \[p=mv\] and \[v=\sqrt{\frac{2QV}{m}}\] Þ\[p=\sqrt{2QmV}\]Þ\[p\propto \sqrt{Qm}\]Þ\[\frac{{{p}_{e}}}{{{p}_{\alpha }}}=\sqrt{\frac{e\times {{m}_{e}}}{2e\times {{m}_{\alpha }}}}=\sqrt{\frac{{{m}_{e}}}{2{{m}_{\alpha }}}}\]
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