Explanation:

- Option 1: Governor

- The Governor can report to the President if there is a failure of constitutional machinery in the state.

- The Governor’s report can recommend the dismissal of the state government and suspending or dissolving the state assembly.

- Option 2: Prime Minister

- The Prime Minister heads the central government but does not directly recommend the dismissal of a state government.

- The Prime Minister may advise the President based on the Governor’s report.

- Option 3: Chief Minister

- The Chief Minister leads the state government.

- They cannot recommend their own dismissal or the assembly's dissolution.

- Option 4: Speaker of Legislative Assembly

- The Speaker oversees the legislative proceedings.

- They have no role in recommending dismissal or dissolution of the government.

Option 1: Governor is correct.