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BITSAT 2009
Exam
BITSAT
Year
2009
Subject
Physics
Chapter
Mechanical Properties of Fluids

BITSAT 2009 · Physics · Mechanical Properties of Fluids

A liquid is flowing through a non-sectional tube with its axis...

A liquid is flowing through a non-sectional tube with its axis horizontally. If two points X\mathrm{X} and Y\mathrm{Y} on the axis of tube has a sectional area 2.0cm32.0 \mathrm{ cm}^{3} and 25mm225 \mathrm{ mm}^{2} respectively then find the flow velocity at YY when the flow velocity at XX is 10m/s10 \mathrm{ m} / \mathrm{s}.

Options

  1. A20m/s20 \mathrm{ m} / \mathrm{s}
  2. B40m/s40 \mathrm{ m} / \mathrm{s}
  3. C80m/s80 \mathrm{ m} / \mathrm{s}
  4. D60m/s60 \mathrm{ m} / \mathrm{s}

Correct answer

C. 80m/s80 \mathrm{ m} / \mathrm{s}

Step-by-step solution

According to principle of continuity v_{y}=vxAxAy=10(m/s)×2(cm2)25×10−2(cm2)=80m\frac{v_{x} A_{x}}{A_{y}}=\frac{10(m / s) \times 2\left(c m^{2}\right)}{25 \times 10^{-2}\left(c m^{2}\right)}=80 \mathrm{ m}/ s\mathrm{s}
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