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NEETPhysicsMechanical Properties of Fluids

A venturi-meter is used to measure the volume flow rate of an ideal liquid flowing through a pipe. If the pressure difference between the broader section and the narrow throat of the venturi-meter is doubled, by what factor does the volume flow rate of the liquid change?

Options

  1. AIncreases by a factor of 2
  2. BIncreases by a factor of 2
  3. CDecreases by a factor of 2
  4. DDecreases by a factor of 2

Correct answer

B. Increases by a factor of 2

Step-by-step solution

The volume flow rate Q through a venturi-meter is given by the formula derived from Bernoulli's principle and the equation of continuity: Q = A a 2 P (A^2 - a^2) where A and a are the cross-sectional areas of the broader section and the throat respectively, is the density of the liquid, and P is the pressure difference between the two sections. From the formula, it is clear that the volume flow rate is directly proportional to the square root of the pressure difference, i.e., Q P . If the pressure difference P is d

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