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JEE Main Physics Class 11 Properties of Solids and Liquids Questions Part 1 Questions
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Question : 28
Total: 100
On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius
R
and making a circular contact of radius
r
with the bottom of the vessel. If
r
<
<
R
and the surface tension of water is
T
, value of
r
just before bubbles detach is: (density of water is
ρ
w
)
[2014]
R
2
√
2
ρ
w
g
3
T
R
2
√
ρ
w
g
6
T
R
2
√
ρ
w
g
T
R
2
√
3
ρ
w
g
T
Validate
Solution:
When the bubble gets detached,
Buoyant force = force due to surface tension
Force due to excess pressure = upthrust
Access pressure in air bubble
=
2
T
R
2
T
R
(
π
r
2
)
=
4
π
R
3
3
T
ρ
o
w
g
⇒
r
2
=
2
R
4
ρ
w
g
3
T
⇒
r
=
R
2
√
2
ρ
w
g
3
T
© examsnet.com
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