In any criminal proceeding or in any investigation or proceeding before a grand jury in connection with any criminal offense, if a person refuses to answer a question or produce evidence of any other kind on the ground that he may be incriminated thereby, and if the prosecuting attorney of the county in writing requests the district court in and for that county to order that person to answer the question or produce the evidence, a judge of the district court shall set a time for hearing and order the person to appear before the court and show cause, if any, why the question should not be answered or the evidence produced, and the court shall order the question answered or the evidence produced unless it finds that to do so would be clearly contrary to the public interest, or could subject the witness to a criminal prosecution in another jurisdiction, and that person shall comply with the order. After complying, and if, but for this section, he would have been privileged to withhold the answer given or the evidence produced by him, the answer given, or evidence produced, and any information directly or indirectly derived from the answer or evidence, may not be used against the compelled person in any manner in a criminal case, except that he may nevertheless be prosecuted or subjected to penalty or forfeiture for any perjury, false swearing or contempt committed in answering, or failing to answer, or in producing, or failing to produce, evidence in accordance with the order.