In a vertical water line

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

Problem

In a vertical water line, the stagnation probe is situated 0.40 m0.40\,\text{m} above a side tapping that senses the static pressure. Both points are connected to a mercury manometer, which shows a level difference of 15 cm15\,\text{cm} of mercury. Take ρwater=1000 kg m−3\rho_{\text{water}} = 1000\,\text{kg m}^{-3}, ρHg=13 600 kg m−3\rho_{\text{Hg}} = 13\,600\,\text{kg m}^{-3} and g=9.8 m s−2g = 9.8\,\text{m s}^{-2}. Calculate the flow speed in the line. (a) 5.4 m s−15.4\,\text{m s}^{-1} (b) 6.7 m s−16.7\,\text{m s}^{-1} (c) 9.8 m s−19.8\,\text{m s}^{-1} (d) 4.7 m s−14.7\,\text{m s}^{-1}

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