A major artery in human body, with radius $$0.4\,\text{cm}$$, carries blood at a flow rate of $$5.0\,\text{cm}^3\text{ s}^{-1}$$. The pressure difference of blood per meter length of the artery is nearly. Given that the coefficient of viscosity $$\eta$$ of blood at body temperature is $$4.0 \times 10^{-3}\,\text{Pa s}$$ and the density of mercury is $$13.6\,\text{g cm}^{-3}$$.

A

$$9.6\,\text{mm of Hg}$$

B

$$3.2\,\text{mm of Hg}$$

C

$$1.5\,\text{mm of Hg}$$

D

$$6.0\,\text{mm of Hg}$$