Question

The wavelength ${\lambda }_e$ of an electron and ${\lambda }_P$ of a photon of same energy E are related by:

• A. ${\lambda }_P\propto \frac{1}{\sqrt{{\lambda }_e}}$
• B. ${\lambda }_P\propto {\lambda }_e^2$
• C. ${\lambda }_P\propto {\lambda }_e$
• D. ${\lambda }_P\propto \sqrt{{\lambda }_e}$

Answer 1

Answer: (B)

${\lambda }_P=\frac{h}{p}=\frac{hc}{E}$ and ${\lambda }_e=\frac{h}{p}=\frac{h}{\sqrt{2mE}}$
$\Rightarrow {\lambda }_P\propto {\lambda }_e^2$