The energy of the ejected photoelectrons is given by the photoelectric equation:
\( K.E. = h\nu - \phi \),
where \( h\nu \) is the energy of the incident photons and \( \phi \) is the work function of the material.
Given:
\( h\nu = 4.13 \, \text{eV}, \quad \phi = 3.13 \, \text{eV} \),
the maximum kinetic energy of the ejected photoelectrons is:
\( K.E. = 4.13 \, \text{eV} - 3.13 \, \text{eV} = 1 \, \text{eV} \).
Thus, the correct answer is Option (2).