Question 186: Properties of Matter

Question

Water flows into a large tank with flat bottom at the rate of 10
–4
m
3
s
–1
. Water is also leaking out of a hole ofarea 1 cm
2
at its bottom. If the height of the water in the tank remains steady, then this height is -

Accepted Answer

Since height of water column is constant therefore, water inflow rate (Q
in
)
= water outflow rate
Q
in
= 10
$$-$$4
m
3
s
$$-$$1
Q
out
= Au = 10
$$-$$4
$$ 	imes $$ $$\sqrt {2gh} $$
10
$$-$$4
= 10
$$-$$4
$$\sqrt {20 	imes h} $$
h = $${1 \over {20}}m$$
h = 5cm

Answer

2.9 cm

Answer

5.1 cm

Answer

4 cm

Answer

1.7 cm

Properties of Matter

Water flows into a large tank with flat bottom at the rate of 10 –4 m 3 s –1 . Water is also leaking out of a hole ofarea 1 cm 2 at its bottom. If the height of the water in the tank remains steady, then this height is -

Choose the correct answer: