A metal surface is illuminated by light of two different wavelengths 207 nm and 414 nm . The maximum speeds of photoelectrons corresponding to these wavelengths are $\mathrm{u}_1$ and $\dot{u}_2$ respectively with $u_1: u_2=2: 1$. The work function of the metal is $(\mathrm{hc}=1242 \mathrm{eV} \mathrm{nm})$

A photon and an electron have an equal energy ' E '. The ratio of wavelength ' $\lambda_{\mathrm{p}}$ ' of photon to that of electron ' $\lambda_{\mathrm{e}}$ ' is proportional to