There is a hole in the bottom of tank having water. If total pressure at bottom is 3 atm (1 atm 105N/m2) then the velocity of water flowing from hole is:
Correct answer: A. 20 m/s
- A. 20 m/s
- B. 10 m/s
- C. 30 m/s
- D. None
Explanation
To determine the velocity of the water flowing from the hole, we use Bernoulli's equation: P + 0.5ρv2 + ρgh = constant. Given that the total pressure at the bottom is 3 atm, which is equivalent to 3 * 105 N/m2, and assuming atmospheric pressure is at the top, the velocity can be determined using the equation v = √(2gh). Here, h is determined by the pressure difference between inside and outside the tank. With 1 atm being the atmospheric pressure, the effective pressure contributing to flow is 2 atm. Therefore, the velocity is 20 m/s. Options B (10 m/s) and C (30 m/s) are incorrect as they do not match the velocity derived from the given pressure, and Option D (None) is incorrect as a specific velocity is calculable.
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