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  • A cylindrical tank has a hole of 1m at its bottom. If the water is allowed to flow into the tank from a tube above it at a rate of 70cm3/s, the maximum height upto which the water can ri

A cylindrical tank has a hole of 1m at its bottom. If the water is allowed to flow into the tank from a tube above it at a rate of 70cm3/s, the maximum height upto which the water can rise in the tank is:

Option: 1

2.5 * 10-2m


Option: 2

4.2 * 10-4m


Option: 3

3.5 * 10-3m


Option: 4

4.6 * 10-7m


Answers (1)

best_answer

At a certain height h, the output becomes equal to the input and the level of water becomes constant.

Qin = Qout

Q = a \sqrt{2gh}

h = \frac{Q^{2}}{2ga^{2}}

h = \frac{(70 * 10^{-6})^{2}}{2 * 9.8 * (1*10^{-4})^{2}}

h = 2.5 * 10^{-2} m

Posted by

Ritika Harsh

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