A water tank of height 10m is on level ground two holes A and B are at 3m and 7m above the ground respectively, the water ejecting from both A and B will.
Correct answer: B. A spot farther than B spot
- A. Spot the same point
- B. A spot farther than B spot
- C. B Spot farther than A spot
- D. None
Explanation
Water coming out of hole A (at 3 m height) has greater efflux speed because the water column above it is deeper (7 m). It also has less vertical distance to fall, so it reaches the ground sooner, but the high horizontal velocity allows it to travel a large horizontal distance. Hole B (at 7 m height) has a smaller efflux speed because the depth above it is only 3 m. Even though B has more time to fall, its horizontal velocity is not large enough to produce a bigger range. In fluid mechanics, the water range is maximum for holes around the mid-height of the tank (5 m). Hole A (at 3 m) is closer to this optimal position, so it ejects water farther than hole B. Therefore, option B is correct.
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