1.

    Two identical capillaries of length 'L' and radius 'r' are connected in parallel. If the pressure difference across each capillary is 'ΔP', and the viscosity of the liquid is 'η', the total volume flow rate through the combination is:

    A

    πr4ΔP8ηL\frac{\pi r^4 \Delta P}{8 \eta L}

    B

    2imesπr4ΔP8ηL2 imes \frac{\pi r^4 \Delta P}{8 \eta L}

    C

    πr4ΔP16ηL\frac{\pi r^4 \Delta P}{16 \eta L}

    D

    π(2r)4ΔP8ηL\frac{\pi (2r)^4 \Delta P}{8 \eta L}

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    3.

    Poiseuille's equation assumes laminar flow. Which of the following best describes laminar flow?

    A

    Fluid flows in a chaotic and turbulent manner.

    B

    Fluid flows in smooth, parallel layers.

    C

    Fluid velocity is constant across the tube's cross-section.

    D

    Fluid pressure is constant along the length of the tube.

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    8.

    Two identical capillaries of length 'L' and radius 'r' are connected in parallel. If the pressure difference across each capillary is 'ΔP', and the viscosity of the liquid is 'η', the total volume flow rate through the combination is:

    A

    πr4ΔP8ηL\frac{\pi r^4 \Delta P}{8 \eta L}

    B

    2imesπr4ΔP8ηL2 imes \frac{\pi r^4 \Delta P}{8 \eta L}

    C

    πr4ΔP16ηL\frac{\pi r^4 \Delta P}{16 \eta L}

    D

    π(2r)4ΔP8ηL\frac{\pi (2r)^4 \Delta P}{8 \eta L}

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