A) \[\frac{0.287}{\sqrt{V}}\]Å
B) \[\frac{12.27}{\sqrt{V}}\]Å
C) \[\frac{0.101}{\sqrt{V}}\]Å
D) \[\frac{0.202}{\sqrt{V}}\]Å
Correct Answer: C
Solution :
\[\lambda =\frac{h}{\sqrt{2mE}}=\frac{h}{\sqrt{2{{m}_{\alpha }}{{Q}_{\alpha }}V}}\] On putting \[{{Q}_{\alpha }}=2\times 1.6\times {{10}^{-19}}C\] \[{{m}_{\alpha }}=4{{m}_{p}}=4\times 1.67\times {{10}^{-27}}kg\]Þ \[\lambda =\frac{0.101}{\sqrt{V}}{\AA}\]
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