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A venturimeter having a throat diameter of $0.1$ m is used to estimate the flow rate of a horizontal pipe having a diameter of $0.2$ m. For an observed pressure difference of $2$ m of water head and coefficient of discharge equal to unity, assuming that the energy losses are negligible, the flow rate (in $m^3/s$) through the pipe is approximately equal to

  1. $0.500$
  2. $0.150$
  3. $0.050$
  4. $0.015$
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