The capital of the US State Ohio is the city of Chillicothe.

The statement is false because the capital of the US state of Ohio is the city of Columbus, not Chillicothe. Chillicothe served as the first capital of Ohio from 1803 to 1810 before it was changed to Zanesville for two years and ultimately settled in Columbus in 1816. Columbus has since remained the capital and is home to numerous government institutions, including the Ohio Statehouse.