Oil of density flows steadily through a pipeline that rises 6.0 m and narrows from a…

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

Oil of density 8.5×102 kg m−38.5\times10^{2}\,\text{kg\,m}^{-3} flows steadily through a pipeline that rises 6.0 m and narrows from a diameter of 10 cm to 5.0 cm. In the lower (wider) section the flow speed is 1.5 m s−1^{-1} and the gauge pressure is 220 kPa. Assuming ideal flow, what is the gauge pressure in the upper (narrower) section? (a) 2.6×102 kPa2.6\times10^{2}\,\text{kPa} (b) 2.0×102 kPa2.0\times10^{2}\,\text{kPa} (c) 1.6×102 kPa1.6\times10^{2}\,\text{kPa} (d) 1.7×102 kPa1.7\times10^{2}\,\text{kPa}

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