Option 1: The statement is not related to the role of the Secretary-General of the Lok Sabha, so it is not relevant to the question.

Option 2: This statement is incorrect. The Secretary-General of the Lok Sabha acts under the authority of the Speaker, but not in the name of the Speaker. The Secretary-General`s authority is derived from the Speaker and they work on behalf of the Speaker in various administrative and procedural matters.

Option 3: This is the correct answer. The Secretary-General of the Lok Sabha works under the Speaker with delegated authority. The Secretary-General assists the Speaker in the administration of the Lok Sabha and is responsible for maintaining order and discipline in the House.

Option 4: This statement is incorrect. The Secretary-General of the Lok Sabha does not pass orders in the name of the Speaker. While the Secretary-General may issue administrative orders and directives, they are not done in the name of the Speaker.

In summary, option 3 is not correct about the Secretary-General of the Lok Sabha. The Secretary-General works under the Speaker with delegated authority, not as an advisor or with the power to pass orders in the name of the Speaker.