Water ( ) flows steadily from section 1 of a pipeline to section 2

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

Problem

Water (ρ=1.0×103 kg ⁣/ ⁣m3\rho = 1.0\times10^{3}\,\text{kg}\!/\!\text{m}^{3}) flows steadily from section 1 of a pipeline to section 2, which is 3.0 m3.0\,\text{m} higher in elevation. At section 1 the diameter is 6.0 cm6.0\,\text{cm}, the speed is 2.0 m ⁣/ ⁣s2.0\,\text{m}\!/\!\text{s}, and the gauge pressure is 1.5×105 Pa1.5\times10^{5}\,\text{Pa}. The diameter at section 2 is 3.0 cm3.0\,\text{cm}. Neglecting energy losses, what is the gauge pressure at section 2? (a) 1.5×105 Pa1.5\times10^{5}\,\text{Pa} (b) 1.2×105 Pa1.2\times10^{5}\,\text{Pa} (c) 9.1×104 Pa9.1\times10^{4}\,\text{Pa} (d) 1.15×105 Pa1.15\times10^{5}\,\text{Pa}

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