The powers of the High Court under this Part of this Act to give leave to appeal, to extend the time within which notice of appeal or of an application for leave to appeal may be given, to allow the appellant to be present at any proceedings in cases where he is not entitled to be present without leave, and to admit an appellant to bail, may be exercised by any judge of the High Court in the same manner as they may be exercised by the High Court, and subject to the same provisions; but, if the judge refuses an application on the part of the appellant to exercise any such power in his favour, the appellant shall be entitled to have the application determined by the High Court.