Under which Article(s), the Speaker can allow any member of the House to speak in his/her mother tongue? 

The correct answer is Article 120 (1).

Key PointsArticle 120, Constitution of India, 1950:

• (1) Notwithstanding anything in Part XVII, but subject to the provisions of Article 348, business in Parliament shall be transacted in Hindi or in English.
  • Provided that the Chairman of the Council of States, Speaker of the House of the People, or person acting as such, as the case may be, may permit any member who cannot adequately express himself in Hindi or in English to address the House in his mother tongue.
• (2) Unless Parliament by law otherwise provides, this article shall, after the expiration of a period of fifteen years from the commencement of this Constitution, have effect as if the words “or in English” were omitted therefrom.

Additional Information 

Article 99, Draft Constitution 1948

• (1) In Parliament, business shall be transacted in Hindi or English.
  • Provided that the Chairman of the Council of States or the Speaker of the House of the People, as the case may be, may permit any member who cannot adequately express himself in either language to address the House in his mother tongue.
• (2) The Chairman of the Council of States or the Speaker of the House of the People may, whenever he thinks fit, make arrangements for making available in the Council of States or the House of the People, as the case may be, a summary in Hindi or English of the speech delivered by a member in any other language, and such summary shall be included in the record of the proceedings of the House in which the speech has been delivered.