A liquid is flowing in a tube under streamlined flow. If the radius of the tube is doubled, the rate of flow becomes
Correct answer: C. 1/4 times
- A. 4 times
- B. 16 times
- C. 1/4 times
- D. remain the same
Explanation
According to the equation of continuity, the rate of flow of a liquid is inversely proportional to the square of the radius of the tube. Therefore, if the radius is doubled, the rate of flow increases by a factor of 1/4.
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About Fluid Dynamics
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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