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  • A horizontal pipe line carries water in a streamline flow. At a point along the tube where the crosssectional area is <img alt="10^{-2} \mathrm{~m}^2" src="https://entrancecorner.oncodecogs.com/gif

A horizontal pipe line carries water in a streamline flow. At a point along the tube where the crosssectional area is 10^{-2} \mathrm{~m}^2, the water velocity is 2 \mathrm{~ms}^{-1} and the pressure is 8000 \mathrm{~Pa}. The pressure of water at another point where the cross-sectional area is 0.5 \times 10^{-2} \mathrm{~m}^2  is :

Option: 1

4000 \mathrm{~Pa}
 


Option: 2

1000 \mathrm{~Pa}


Option: 3

2000 \mathrm{~Pa}


Option: 4

3000 \mathrm{~Pa}


Answers (1)

best_answer

\mathrm{\begin{aligned} & A_1 V_1=A_2 V_2 \\\\ & 10^{-2} \times 2=0.5 \times 10^{-2} \times V^2 \\\\ & V_2=4 \mathrm{~m} / \mathrm{sec} . \\\\ & P_A+\frac{1}{2} \rho V_A^2=P_B+\frac{1}{2} \rho V_B^2 \\\\ & 8000+\frac{1}{2} 1000 \times 2^2 \\\\ & =P_B+\frac{1}{2} 1000 \times 4^2 \\\\ & P_B=2000 \mathrm{~Pa} \end{aligned}}

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sudhir.kumar

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