Question

A photon and an electron have equal energy E. l_photon / l_electron is proportional to –

• A. $\sqrt{E}$
• B. 1/$\sqrt{E}$
• C. 1/E
• D. Does not depend upon E

Answer 1

Answer: (B)

1/$\sqrt{E}$

Answer 2

K.E._e = K.E._ph = E

$\frac{\lambda_{e}}{\lambda_{Ph}}$= $\frac{h/\sqrt{2mE}}{hc/E}$= $\frac{1}{c}$ $\sqrt{\frac{E}{2m}}$

$\frac{\lambda_{Ph}}{\lambda_{e}}$ µ $\frac{1}{\sqrt{E}}$