Final answer:
A thermocouple thermometer is best suited for checking the final rise temperature of a dishwashing machine due to its accuracy and quick response time.
Step-by-step explanation:
The thermometer best suited for checking the final rise temperature of a dishwashing machine is a thermocouple thermometer. This type of thermometer is designed to provide accurate temperature readings quickly, which is essential for verifying that a dishwasher's final rinse temperature reaches a level high enough to sanitize dishes effectively, as per health standards. Digital and infrared thermometers can also provide accurate readings, but a thermocouple thermometer is often preferred for professional kitchen use due to its precision and responsiveness to temperature changes. Although a mercury thermometer can measure temperature, it may not be as convenient, safe, or as quick to respond as a thermocouple, which is crucial in a fast-paced commercial kitchen environment.