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Q. The kinetic energy of an electron is $5\, eV$. Calculate the de-Broglie wavelength associated with it ( $h=6.6 \times 10^{-34} Js$, $\left.m_{e}=9.1 \times 10^{-31} kg \right)$

JIPMERJIPMER 2004Dual Nature of Radiation and Matter

Solution:

Wavelength associated with an electron
$\lambda =\frac{h}{\sqrt{2 m E}}$
$=\frac{6.6 \times 10^{-34}}{\sqrt{2 \times 9.1 \times 10^{-31} \times 5 \times 1.6 \times 10^{19}}}$
$=5.47 \times 10^{-10} m =5.47\,\mathring{A}$