The correct statement is option 2: "No Member of a State Legislative Assembly shall be liable to any proceeding in any court in respect of anything said or any vote given by him/her in the legislature."

Let`s dissect each option to understand why the correct statement is option 2:

Option 1: "The Speaker immediately vacates his/her office whenever the State Legislative Assembly is dissolved."

This statement is incorrect. The Speaker does not immediately vacate their office when the State Legislative Assembly is dissolved. The Speaker continues to hold office until a new Speaker is elected in the next Assembly.

Option 2: "No Member of a State Legislative Assembly shall be liable to any proceeding in any court in respect of anything said or any vote given by him/her in the legislature."

This statement is correct. As per the Constitution of India, Members of State Legislative Assemblies are granted immunity from any legal proceedings for their statements or votes in the legislature. This immunity is provided to enable free and open discussions without fear of legal consequences.

Option 3: "Both 1 and 2"

Since option 1 is incorrect, this option is also incorrect.

Option 4: "Neither 1 nor 2"

Since option 2 is the correct statement, this option is incorrect.

Therefore