I think that is the drain hose for the coolant expansion tank (photo 1).
It allows coolant to escape to ground when the radiator cap releases pressure (photo 1) ....most frequently from an overfilled system.
I used to be fast....now I just dream about it.
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'08 910R (Gina), '04 F4 SPR #275 Track Bike (Lola), YSR50 (The Rabbit), '71 CB100 (Lil' Red), '75 RD350C (Orange Bird) restoration project, '70 Suzuki F50 (Baby Blue)