Two meter high tank is full of water, a hole is made in the middle of the tank. The speed of efflux is
Correct answer: C. 4.42 m/s
- A. 4.9 m/s
- B. 9.8 m/s
- C. 4.42 m/s
- D. 3.75 m/s
Explanation
To find the speed of efflux of water from a hole in the tank, we use Torricelli's Theorem, which states: v = √(2gh), where v is the speed of efflux, g is the acceleration due to gravity (9.8 m/s²), and h is the height of the water column above the hole.In this case, since the hole is in the middle of a 2-meter high tank, the height h is 1 meter. Therefore, the speed of efflux is v = √(2 * 9.8 m/s² * 1 m) = √(19.6) ≈ 4.42 m/s.Option A (4.9 m/s) assumes a different height. Option B (9.8 m/s) assumes the hole is at the bottom of the tank. Option D (3.75 m/s) is too low for the calculated height.
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