Question 344: Properties of Matter

Question

A small hole of area of cross-section 2 mm
2
present  near the bottom of a fully filled open tank of height 2 m. Taking g = 10 m/s
2
, the rate of flow of water through the open hole would be nearly :

Accepted Answer

volume flow rate = Av = A$$\sqrt {2gh} $$
= 2 $$ 	imes $$ 10
-6
$$ 	imes $$ $$\sqrt {2 	imes 10 	imes 2} $$
= 2 $$ 	imes $$ 2 $$ 	imes $$ 3.14 $$ 	imes $$ 10
-6
m
3
/s
= 12.56 $$ 	imes $$ 10
-6
m
3
/s
= 12.6 $$ 	imes $$ 10
-6
m
3
/s

Answer

8.9 × 10
–6
m
3
/s

Answer

2.23 × 10
–6
m
3
/s

Answer

6.4 × 10
–6
m
3
/s

Answer

12.6 × 10
–6
m
3
/s

Properties of Matter

A small hole of area of cross-section 2 mm 2 present near the bottom of a fully filled open tank of height 2 m. Taking g = 10 m/s 2 , the rate of flow of water through the open hole would be nearly :

Choose the correct answer: