Q107 / 180 · NEET 2013 (Karnataka) · Physics

A fluid is in streamline flow across a horizontal pipe of variable area of cross section. For this which of the following statements is correct?

  • Correct answer
    A
    The velocity is maximum at the narrowed part of the pipe and pressure is a maximum at the widest part of the pipe.
  • B
    Velocity and pressure both are maximum at the narrowest part of the pipe.
  • C
    Velocity and pressure both are maximum at the widest part of the pipe
  • D
    The velocity is minimum at the narrowest part of the pipe and the pressure is minimum at the widest part of the pipe.

Solution

The velocity is maximum at the narrows part of the pipe and pressure is maximum at the widest part of the pipe. (Using equation of continuity $\mathrm{AV}=$ constant.) And Bernoulli's theorem $$ P+\frac{1}{2} \rho V^2=\text { constant } $$

Hence, the correct answer is option: 'A'.

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