A) \[\sqrt{2}:1\]
B) \[2:1\]
C) \[2\sqrt{2}:1\]
D) \[\frac{1}{2\sqrt{2}}:1\]
Correct Answer: C
Solution :
\[\lambda =\frac{h}{\sqrt{2mQV}}\Rightarrow \lambda \propto \frac{1}{\sqrt{mQ}}\] \[\Rightarrow \frac{{{\lambda }_{p}}}{{{\lambda }_{\alpha }}}=\sqrt{\frac{{{m}_{\alpha }}{{Q}_{\alpha }}}{{{m}_{p}}{{Q}_{p}}}}\] \[=\sqrt{\frac{4{{m}_{p}}\times 2{{Q}_{p}}}{{{m}_{p}}\times {{Q}_{p}}}}=2\sqrt{2}\]
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