A VCR can detect the physical end of a tape (not the recorded portion) with a photo cell that can "see" the clear leader at the ends of the tape.
The end of a recorded section can be detected by looking for breaks in the control track, or by loss of recorded video signal. Some VCRs will output a blank (e.g., blue) screen rather than noise during gaps in recorded signal.
An issue with detecting the lack of recording is in how to process gaps in recording such as often happened with home recordings; e.g., the gaps when one records some tape, rewinds to review it, stops just after the end and records some more.
How capture hardware and software deal with all this depends on the systems being used.
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