At a very high frequency the effective refracive index of the material reduces due to the reduction in the Absorption. Why the material behaves as a transparent medium for that frequency?
Transparency is independent of frequency. If there is no aborption is there at any particular frequency then material transmitts that frequency. In case of absorption present, transparency is decided by absorption coefficient
Transparency is not completely independent of frequency. To absorb, there must be resonance, i.e. either a rotation, vibration or electronic transition with a frequency equal to the light is excited in the material. If the frequency of the light is higher than the resonance frequency of the highest possible transition, than absorption can no longer take place, hence the material stays transparent and the index of refraction equals unity.