A) \[{{\lambda }_{p}}<{{\lambda }_{e}}\]
B) \[{{\lambda }_{p}}>{{\lambda }_{e}}\]
C) \[{{\lambda }_{p}}={{\lambda }_{e}}\]
D) \[{{\lambda }_{p}}=2{{\lambda }_{e}}\]
Correct Answer: A
Solution :
| [a] By using \[\lambda =\frac{h}{\sqrt{2mE}}\] |
| \[E={{10}^{-32}}J=\text{Constante}\]for both particles. |
| Hence \[\lambda \propto \frac{1}{\sqrt{m}}\] |
| Since \[{{m}_{p}}>{{m}_{e}}\] so \[{{\lambda }_{p}}<{{\lambda }_{e}}.\] |
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