According to the de-Broglie hypothesis,the wavelength associated with a moving electron of mass $m$ is $\lambda_e$. Using the mass-energy relation and Planck's quantum theory,the wavelength associated with a photon is $\lambda_p$. If the energy $(E)$ of the electron and the photon is the same,then the relation between $\lambda_e$ and $\lambda_p$ is:

• A
  $\lambda_p \propto \lambda_e$
• B
  $\lambda_p \propto \lambda_e^2$
• C
  $\lambda_p \propto \sqrt{\lambda_e}$
• D
  $\lambda_p \propto \frac{1}{\lambda_e}$