Explanation:
The influence of blood vessel diameter on peripheral resistance is
B) significant because resistance is inversely proportional to the fourth power of the vessel radius
When blood flows through the arteries, the walls of arteries exert a resistance against the flow of blood . This resistance offered by the arteries is called the peripheral resistance.
When the arteries dilate i.e their diameter increases, the peripheral resistance decreases while the arteries constrict i.e. their diameter decreases, the peripheral resistance increases.
Practically this resistance is inversely proportional to the fourth power of the vessel radius. A change in vessel diameter will bring about a significant change in the peripheral resistance.