The task completed with infrared radiation from the options given is transmitting digital messages with a cell phone.
While infrared radiation is not the primary method for most cell phone transmissions (which typically use radio waves or cellular frequencies), some cell phones and devices can utilize infrared for short-range communication, such as remote controls or infrared data transfer. The other options do not specifically relate to infrared radiation.
To clarify:
- Removing bacteria from the air in hospitals typically uses UV radiation or HEPA filters.
- Diagnosing a broken bone or decayed tooth usually involves X-rays.
- Sending messages through fiber optic cables uses light in the visible spectrum or near infrared, but it is primarily related to light transmission rather than infrared specifically.