A) \[\frac{\lambda }{2}\]
B) \[\frac{\lambda }{\sqrt{2}}\]
C) \[\frac{\lambda }{2\sqrt{2}}\]
D) \[\frac{\lambda }{4}\]
Correct Answer: C
Solution :
[c] \[\lambda =\frac{h}{\sqrt{2me\,V}}\] \[{{\lambda }^{2}}=\frac{{{h}^{2}}}{2{{m}_{p}}eV}........(1)\] \[\lambda _{\alpha }^{2}=\frac{h}{2(4{{m}_{p}})\,(2e)\,V}........(2)\] \[\therefore \,{{m}_{\alpha }}=4{{m}_{p}},{{e}_{\alpha }}=2{{e}_{p}}\] \[{{\lambda }_{\alpha }}=\frac{\lambda }{2\sqrt{2}}\]You need to login to perform this action.
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