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