An ideal fluid of density 800kgm–3, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to \(\frac{a}{2}\). The pressure difference between the wide and narrow sections of pipe is 4100 Pa. At wider section, the velocity of fluid is\(\frac{\sqrt{x}}{6}\) ms1 for x=_______. (Given g=10 ms-2)