An ideal fluid flowing in two different pipes with speed with ratio of speed 4:1, the ratio of their radii:
Correct answer: D. 2:1
- A. 4:1
- B. 1:4
- C. 1:2
- D. 2:1
Explanation
Continuity: v1/v2 = (A2/A1) = (r2²/r2²). If v1:v2 = 4:1 ⇒ (r2/r1)² = 4 ⇒ r2/r1 = 2 ⇒ r1:r2 = 1:2
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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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