A) \[\sqrt{E}\]
B) \[\frac{1}{\sqrt{E}}\]
C) \[\frac{1}{E}\]
D) does not depend upon\[E\]
Correct Answer: B
Solution :
\[{{\lambda }_{photon}}=\frac{hc}{E}\] \[{{\lambda }_{photon}}=\frac{h}{\sqrt{2mE}}\] \[\Rightarrow \] \[\frac{{{\lambda }_{photon}}}{{{\lambda }_{electron}}}=c\sqrt{\frac{2m}{E}}\] \[\frac{{{\lambda }_{photon}}}{{{\lambda }_{electron}}}\propto \frac{1}{\sqrt{E}}\]
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