Option 1: The Chairman, Rajya Sabha - The Chairman of the Rajya Sabha does not have the power to dissolve the Rajya Sabha. The Chairman serves as the presiding officer of the Rajya Sabha and is responsible for maintaining order during the proceedings.

Option 2: The President - The President of India does not have the power to dissolve the Rajya Sabha. The President`s role is primarily ceremonial and the dissolution of the Rajya Sabha falls outside their authority.

Option 3: The Joint-session of Parliament - A joint-session of Parliament does not have the power to dissolve the Rajya Sabha. Joint-sessions are called for specific purposes, such as the address by the President or for passing certain important legislations.

Option 4: None of these - This is the correct answer. Neither the Chairman, Rajya Sabha, the President, nor the Joint-session of Parliament have the competence or authority to dissolve the Rajya Sabha. The Rajya Sabha can only be dissolved by completing its term or by the exercise of the power of dissolution by the President on the advice of the Prime Minister.