According to de-Broglie hypothesis, the wavelength associated with moving electron of mass \( 'm' \) is \( '\lambda_{e}' \). Using mass energy relation and Planck's quantum theory, the wavelength associated with photon is \( '\lambda_{p}' \). If the energy \( (E) \) of electron and photon is same then relation between \( '\lambda_{e}' \) and \( '\lambda_{p}' \) is
1
\( \lambda_{p}\propto \lambda_{e} \)
2
\( \lambda_{p}\propto \lambda_{e}^{2} \)
3
\( \lambda_{p}\propto \sqrt {\lambda_{e}} \)
4
\( \lambda_{p}\propto \dfrac {1}{\lambda_{e}} \)