Question

Calculate the wavelength of an electron moving with a velocity of $2.05 \times 10^{7} ms^{-1}$.

Answer 1

According to de Broglie, every microscopic particle has both wave nature and particle nature (dual nature of matter).

In order to calculate the wavelength of the electron which is moving with a certain velocity, we need to calculate the de Broglie wavelength of the electron.

The mass of the electron is $9.1\times10^{-31}Kg$, we should use the following equation,

λ =$\frac{h}{mv}=\frac{6.636\times10^{-34}}{9.11\times 10^{-31}}\times2.05\times10^7$

λ =$35.53\times10^{-12}m$

λ =0.355A°