Final answer:
The twisted pair cable category that supports carrying up to 1000 Mbps of data over 100 meters is Cat 6, with fibber optic cables offering superior performance for longer distances.
Step-by-step explanation:
The twisted pair cable category capable of carrying up to 1000 Mbps (1 gigabit) of data up to a length of 100 meters is Cat 6. While Cat 5e cables are also capable of 1000 Mbps, they are not as reliable as Cat 6 cables over longer distances and may suffer from crosstalk and signal degradation. Cat 7 cables can also carry 1000 Mbps, but they are designed for even higher speeds and have stringent shielding requirements. On the other hand, fiber optic cables exceed both Cat 6 and Cat 7 capabilities and provide high bandwidth, low loss, and reduced crosstalk, making them ideal for long-distance communications.