A special address by the Governor refers to the address delivered by the Governor at certain specific occasions. Let`s analyze each option to better understand the correct answer.

Option 1 suggests that a special address by the Governor is delivered when President`s Rule is called for. However, this is not accurate. President`s Rule is a condition when the President assumes direct control of a state`s governance, and it does not directly relate to the Governor`s address.

Option 2 proposes that a special address is given when a national emergency requires the dissolution of the Legislative Assembly. This is also not correct. A national emergency is a situation of grave national threat, and it does not directly impact the Governor`s address.

Option 3 is the correct answer. A special address by the Governor is delivered at the commencement of the first session after general elections and at the first session of each year. This address highlights the government`s policy agenda, achievements, and future plans for governance.

Option 4 suggests that the Governor delivers a special address whenever they consider it necessary. Although this may be true for some special circumstances, it does not define the regular occasions for a special address.

Therefore, the correct answer is option 3, as it accurately describes the specific occasions for a special address by the Governor.