A) \[{{\lambda }_{P}}>{{\lambda }_{e}}\]
B) \[{{\lambda }_{P}}>{{\lambda }_{e}}\]
C) \[{{\lambda }_{P}}={{\lambda }_{e}}\]
D) \[\frac{{{\lambda }_{e}}}{{{\lambda }_{P}}}=c\]
Correct Answer: A
Solution :
[a] \[{{\lambda }_{p}}=\frac{hc}{E}\] \[{{\lambda }_{e}}=\frac{h}{\sqrt{2{{M}_{e}}E}}\] \[\frac{{{\lambda }_{e}}}{{{\lambda }_{e}}}=c\sqrt{\frac{2m}{E}}>1\] \[{{\lambda }_{p}}>{{\lambda }_{e}}\]
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