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Fluid Mechanics
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Section:
Physics
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© examsnet.com
Question : 1
Total: 18
In a water tank, an air bubble rises from the bottom to the top surface of the water. If the depth of the water in the tank is 7.28 m and atmospheric pressure is 10 m of water, then the ratio of the radii of the bubble at the bottom of the tank and at the top surface of the water is
(Temperature of the water in the tank is constant)
[AP EAPCET 24 May 2025 S1]
2
:
3
5
:
6
3
:
4
4
:
5
Validate
Solution:
As temperature is constant, for air in bubble,
p
1
V
1
=
p
2
V
2
Given,
p
1
=
10
×
ρ
w
×
g
p
2
=
(
10
+
7.28
)
ρ
w
×
g
V
1
=
4
3
π
r
1
3
and
V
2
=
4
3
π
r
2
3
Now by
p
1
V
1
=
p
2
V
2
⇒
V
2
V
1
=
(
r
2
r
1
)
3
=
p
1
p
2
⇒
r
2
r
1
=
(
p
1
p
2
)
1
3
=
(
10
17.28
)
1
3
=
(
1000
1728
)
1
3
=
(
125
216
)
1
3
=
5
6
© examsnet.com
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