We have studied the optical Fréedericks transition for normal incidence in chiral-nematic mixtures in cells coated for homeotropic alignment. In the case of linear polarization of the incident beam two optical thresholds were observed: the first one is second-order and the second one is first-order, accompanied by very large hysteresis loop. In the case of circular polarization, the double-threshold feature was noticed only when the light elicity was the same as the sample chirality. When the elicity is opposite to the chirality, only one second order reorientational transition is produced. The experimental results were found only in partial agreement with the predictions of a simple plane-wave model.