A) \[C\sqrt{\frac{2m}{E}}\]
B) \[\sqrt{\frac{2m}{E}}\]
C) \[\sqrt{\frac{2m}{CE}}\]
D) \[\sqrt{\frac{m}{E}}\]
Correct Answer: A
Solution :
[a] Energy of photon, \[E=hv=\frac{hc}{{{\lambda }_{ph}}}\] Wavelength of a photon \[{{\lambda }_{ph}}=\frac{hc}{E}\] Wavelength of electron \[{{\lambda }_{e}}=\frac{h}{\sqrt{2mE}}\] \[\frac{{{\lambda }_{ph}}}{{{\lambda }_{e}}}=\frac{hc}{E}\sqrt{2mE}=c\sqrt{\frac{2m}{E}}\]
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