Final answer:
The most effective type of nursing leadership in an explosion situation is authoritarian leadership.
Step-by-step explanation:
The most effective type of nursing leadership in a situation where there has been an explosion at a local factory and many employees have been injured is authoritarian leadership. An authoritarian leader is someone who issues orders and assigns tasks, with a strong focus on meeting goals. In this situation, quick and efficient decision-making is crucial, and the authoritarian leadership style allows for clear direction and coordination of response efforts.