Water (density ) flows through a pipeline

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

Problem

Water (density 1000 kg m−31000\,\text{kg m}^{-3}) flows through a pipeline. A U-tube containing mercury (density 13 600 kg m−313\,600\,\text{kg m}^{-3}) is connected between a point where the water momentarily comes to rest and the neighbouring flowing stream. If the mercury columns differ in height by 20 cm20\,\text{cm}, find the speed of water in the pipe. (Take g=9.8 m s−2g = 9.8\,\text{m s}^{-2}.) (a) 5.0 m s−15.0\,\text{m s}^{-1} (b) 7.0 m s−17.0\,\text{m s}^{-1} (c) 9.9 m s−19.9\,\text{m s}^{-1} (d) 2.0 m s−12.0\,\text{m s}^{-1}

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