Water flows steadily through a pipeline that rises by between section and section

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

Problem

Water flows steadily through a pipeline that rises by

5.0\,\text{m}

between section

1

and section

2

. At section

1

the cross-sectional area is

20\,\text{cm}^{2}

, the speed is

2.0\,\text{m s}^{-1}

and the pressure is

2.5\times10^{5}\,\text{Pa}

. The area at section

2

5\,\text{cm}^{2}

. For water

\rho = 1000\,\text{kg m}^{-3}

and

g = 9.8\,\text{m s}^{-2}

. What is the pressure at section

2

? (a)

2.2 \times 10^{5}\,\text{Pa}

(b)

2.7 \times 10^{5}\,\text{Pa}

(c)

1.7 \times 10^{5}\,\text{Pa}

(d)

1.4 \times 10^{5}\,\text{Pa}