A metal was irradiated separately with radiation of wavelength (a) \(400\,\mathrm{nm}\), (b) \(500\,\mathrm{nm}\) and (c) \(600\,\mathrm{nm}\) respectively. Identify the wavelength(s) corresponding to which photoelectrons are emitted from the surface of that metal.
\[
\left(\text{Work function}=2.25\,\mathrm{eV},\;
h=6.6\times10^{-34}\,\mathrm{J\,s},\;
c=3\times10^8\,\mathrm{m\,s^{-1}},\;
1\,\mathrm{eV}=1.6\times10^{-19}\,\mathrm{J}\right)
\]