A manometer connected to a closed tap reads 3.5 x 10^5 N/m2 When the valve is opened, the reading of manometer falls to 3.0 x 10^5 N/m2, then velocity of flow of water is

Correct answer: B. 10 m/s

  • A. 100 m/s
  • B. 10 m/s
  • C. 1 m/s
  • D. 10√10m

Explanation

When the valve is opened, the decrease in pressure as shown by the manometer reading indicates an increase in the velocity of the flow of water. This relationship is governed by Bernoulli's equation, where a decrease in pressure corresponds to an increase in velocity. Therefore, the correct answer is 10 m/s. The other options do not accurately reflect the relationship between pressure and velocity in fluid dynamics.

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Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.

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