A cylindrical tank has a hole of 1 cm2 in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of 70 cm3/sec then the maximum height up to which water can rise in the tank is:
Correct answer: A. 2.5 cm
- A. 2.5 cm
- B. 5 cm
- C. 10 cm
- D. 0.25 cm
Explanation
The maximum height of water in the tank is determined by Torricelli's Law, which relates the speed of outflow to the height of the water. By equating the inflow rate (70 cm3/sec) to the outflow rate through the hole (A√(2gh), where A is the area of the hole), we solve for h, the maximum height. The correct calculation yields 2.5 cm. Options B (5 cm), C (10 cm), and D (0.25 cm) do not satisfy the balance between the inflow and outflow rates as described by the fluid dynamics principles.
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