Which instruments are referred to as gyroscopically operated?

The answer highlighting the instruments referred to as gyroscopically operated is correct because both the Attitude Indicator (AI) and the Artificial Horizon (AH), as well as the Turn Coordinator, rely on gyroscopic principles for their functioning.

Gyroscopic instruments use a spinning rotor to maintain orientation and provide vital information about the aircraft's attitude and rate of turn. The Attitude Indicator, for example, uses a gyroscope that is mounted in such a way that it remains stable regardless of the aircraft's movements, allowing pilots to gauge the aircraft's orientation in relation to the horizon. The Turn Coordinator similarly uses a gyroscope to indicate the rate of turn, helping the pilot maintain coordinated flight.

In contrast, the other options include instruments like the Air Speed Indicator, Altimeter, and Static Vent instruments, which do not utilize gyroscopic effects. The Air Speed Indicator measures dynamic pressure while the Altimeter relies on changes in atmospheric pressure, and Static Vent instruments are also based on pressure changes rather than gyroscopic movement. This distinction clearly defines the instruments that are gyroscopically operated as aligned with the correct answer.