The correct option is C 0.58 eV
Work function of plate ϕ=1.9 eV
Wavelength of incident photon λ=5000 Ao=500 nm
Energy of the incident photon Eincident=1240λ(in nm) eV
⟹ Eincident=1240500=2.48 eV
Maximum kinetic energy of photon emitted K.Emax=Eincident−ϕ
⟹ K.Emax=2.48−1.9=0.58 eV