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Flow through a horizontal pipe of varying cross-section (Bernoulli with continuity)

This type of question, asked 6 times: 26 Jun 2022, 28 Jun 2022, 12 Apr 2023, 13 Apr 2023, 21 Jan 2026 S1, 8 Apr 2026 S2. All 6 questions below, oldest first.

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  1. Question 1

    26 Jun 2022

    30
    An ideal fluid of density 800kgm−3800kgm^{- 3}, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to a2\frac{a}{2}. The pressure difference between the wide and narrow sections of pipe is 4100 Pa4100\text{ }Pa. At wider section, the velocity of fluid is x6 ms−1\frac{\sqrt{x}}{6}{\text{ }ms}^{- 1} for x=____x = \_\_\_\_. (Given g=10 ms−2g = 10{\text{ }ms}^{- 2} )

  2. Question 2

    28 Jun 2022

    118
    A liquid of density 750kgm−3750kgm^{- 3} flows smoothly through a horizontal pipe that tapers in crosssectional area from A1=1.2×10−2 m2A_{1}= 1.2 \times10^{- 2}{\text{ }m}^{2} to A2=A12A_{2}=\frac{A_{1}}{2}. The pressure difference between the wide and narrow sections of the pipe is 4500 Pa4500\text{ }Pa. The rate of flow of liquid is ____×10−3 m3 s−1\_\_\_\_\times10^{- 3}{\text{ }m}^{3}{\text{ }s}^{- 1}.

  3. Question 3

    12 Apr 2023

    29
    Glycerine of density 1.25×103 kg m−31.25 \times10^{3}\text{ }kg{\text{ }m}^{- 3} is flowing through the conical section of pipe. The area of cross-section of the pipe at its ends is 10 cm210{\text{ }cm}^{2} and 5 cm25{\text{ }cm}^{2} and pressure drop across its length is 3Nm−23Nm^{- 2}. The rate of flow of glycerine through the pipe is x×10−5 m3 s−1x \times10^{- 5}{\text{ }m}^{3}{\text{ }s}^{- 1}. The value of xx is___

  4. Question 4

    13 Apr 2023

    16
    The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross-section. Cross sectional areas at A is 1.5 cm21.5{\text{ }cm}^{2}, and BB is 25 mm225{\text{ }mm}^{2}, if the speed of liquid at BB is 60 cm/s60\text{ }cm/s then (PA−PB)\left( P_{A}-P_{B} \right) is : (Given PAP_{A} and PBP_{B} are liquid pressures at AA and BB points. Density ρ=1000 kg m−3\rho = 1000\text{ }kg{\text{ }m}^{- 3} AA and BB are on the axis of tube

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  5. Question 5

    21 Jan 2026 S1

    4
    Water flows through a horizontal tube as shown in the figure. The difference in height between the water columns in vertical tubes is 5 cm and the areas of cross-section at AA and BB are 6 cm26{\text{ }cm}^{2} and 3 cm23{\text{ }cm}^{2} respectively. The rate of flow will be ____\_\_\_\_ cm3/scm^{3}/s. (take g=10 m/s2g = 10\text{ }m/s^{2})

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  6. Question 6

    8 Apr 2026 S2

    8
    A liquid of density 600 kg/m3600\text{ }kg/m^{3} flowing steadily in a tube of varying cross-section. The cross-section at a point A is 1.0 cm21.0{\text{ }cm}^{2} and that at B is 20 mm220{\text{ }mm}^{2}. Both the points A and B are in same horizontal plane, the speed of the liquid at A is 10 cm/s10\text{ }cm/s. The difference is pressures at A and B points is____\_\_\_\_ Pa.

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