Question 301: Properties of Matter

Question

The area of cross-section of a large tank is 0.5 m
2
. It has a narrow opening near the bottom having area of cross-section 1 cm
2
. A load of 25 kg is applied on the water at the top  in the tank. Neglecting the speed of water in the tank, the velocity of the water, coming out of the opening at the time when the height of water level in the tank is 40 cm above the bottom, will be ___________ cms
$$-$$1
. [Take g = 10 ms
$$-$$2
]

Accepted Answer

By Bernoulli's theorem:
$${{250} \over {0.5}} + \rho gh = {1 \over 2}\rho {v^2}$$
$$\Rightarrow$$ v = 3 m/s
$$\Rightarrow$$ v = 300 cm/s

Properties of Matter

Integer / Numeric Answer Type