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A pipe of non uniform cross section has ...

A pipe of non uniform cross section has two distinct section ` 1` and `2 ` with areas `2cm^(2)` and `4cm^(2)` respectively. If the velocity of flowing liquid at section `1` is `5cm//s`, determine the velocity at section `2`.

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To solve the problem of determining the velocity at section 2 of a pipe with non-uniform cross-section, we can use the principle of conservation of mass, which is represented by the continuity equation. Here’s a step-by-step solution: ### Step 1: Identify the given values - Cross-sectional area at section 1, \( A_1 = 2 \, \text{cm}^2 \) - Cross-sectional area at section 2, \( A_2 = 4 \, \text{cm}^2 \) - Velocity at section 1, \( V_1 = 5 \, \text{cm/s} \) ### Step 2: Write the continuity equation ...
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Knowledge Check

  • An ideal fluid flows through a pipe of circular cross-section made of two sections with diameters 2.5 cm and 3.75 cm . The ratio of the velocities in the two pipes is

    A
    `9:4`
    B
    `3:2`
    C
    `sqrt(3):sqrt(2)`
    D
    `sqrt(2):sqrt(3)`
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    A
    `9:4`
    B
    `3:2`
    C
    `sqrt(3):sqrt(2)`
    D
    `sqrt(2):sqrt(3)`
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