Show that the resonance of the polarizability of colloidal metal nanoparticles occurs at an angular frequency ᵣ() =1-²ₚ/².Show that the resonance of the polarizability of colloidal metal nanoparticles that obey the above eqaution occurs at an angular frequency given by
ₚ/√1+2² in a medium with a refractive index of .Evaluate this frequency for the case where the dielectric is air.