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JEE Main Physics Class 11 Properties of Solids and Liquids Questions Part 1 Questions
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Question : 11
Total: 100
Consider a water jar of radius R that has water filled up to height H and is kept on a stand of height h (see figure). Through a hole of radius r (r < < R) at its bottom, the water leaks out and the stream of water coming down towards the ground has a shape like a funnel as shown in the figure. If the radius of the cross–section of water stream when it hits the ground is x. Then :
[Online April 9, 2016]
x
=
r
(
H
H
+
h
)
1
4
x
=
r
(
H
H
+
h
)
x
=
r
(
H
H
+
h
)
2
x
=
r
(
H
H
+
h
)
1
2
Validate
Solution:
According to Bernoulli's Principle,
1
2
ρ
v
1
2
+
ρ
g
h
=
1
2
ρ
v
2
2
v
1
2
+
2
g
h
=
v
2
2
2
g
H
+
2
g
h
=
v
2
2
......(i)
a
1
v
1
=
a
2
v
2
π
r
2
√
2
g
h
=
π
x
2
v
2
r
2
x
2
√
2
g
h
=
v
2
Substituting the value of
v
2
in equation (i)
2
g
H
+
2
g
h
=
r
4
x
4
2
g
h
or,
x
=
r
[
H
H
+
h
]
1
4
© examsnet.com
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