In each county there is hereby created the office of coroner's physician, who shall be appointed by the coroner of the county and be removable by the coroner, at a salary or schedule of fees or both to be set by the county board and to be paid by the county. Such physician shall certify the cause of death in every case of death in such county not certified by an attending physician and shall perform or cause to be performed an autopsy when requested by the coroner or as provided in section 23-1824. Such physician shall perform such other services in aid of the coroner as shall be requested by the coroner and shall be reimbursed for mileage at the rate provided in section 81-1176 for each mile actually and necessarily traveled by the most direct route while in the performance of such physician's duties.